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Volumn 34, Issue 1-2, 1998, Pages 32-55

A Survey on Recent Results of the Mathematical Seminar in Perugia, inspired by the Work of Professor P.L. Butzer

Author keywords

Approximate identity; calculus of variation; linear integral operators; modular spaces

Indexed keywords


EID: 84874610061     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/BF03322036     Document Type: Article
Times cited : (11)

References (86)
  • 1
    • 84936731556 scopus 로고
    • La variazione totale, la lunghezza di una curva e l’integrale del Calcolo delle Variazioni in una variabile
    • Baiada, E., La variazione totale, la lunghezza di una curva e l’integrale del Calcolo delle Variazioni in una variabile. Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat. Serie VIII, 22 (1957), 584–588.
    • (1957) Rend. Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat. Serie VIII , vol.22 , pp. 584-588
    • Baiada, E.1
  • 4
    • 34347176433 scopus 로고
    • Generalizzazioni non markoviane della definizione di perimetro
    • Baiada, E. and Vinti, C, Generalizzazioni non markoviane della definizione di perimetro. Annali di Mat. Pura e Appl. (IV), 62 (1963), 1–58.
    • (1963) Annali di Mat. Pura e Appl. (IV) , vol.62 , pp. 1-58
    • Baiada, E.1    Vinti, C.2
  • 5
    • 5244340939 scopus 로고
    • Approssimazione mediante nuclei momento
    • Barbieri, F., Approssimazione mediante nuclei momento. Atti Sem. Mat. Fis. Univ. Modena, 32 (1983), 308–328.
    • (1983) Atti Sem. Mat. Fis. Univ. Modena , vol.32 , pp. 308-328
    • Barbieri, F.1
  • 6
    • 45949107480 scopus 로고
    • On approximation properties for some classes of linear operators of convolution type
    • Bardaro, C., On approximation properties for some classes of linear operators of convolution type. Atti Sem. Mat. Fis. Univ. Modena, 33 (1984), 329–356.
    • (1984) Atti Sem. Mat. Fis. Univ. Modena , vol.33 , pp. 329-356
    • Bardaro, C.1
  • 7
    • 84933761016 scopus 로고
    • Sull’approssimazione dell’integrale di Burkill-Cesari di funzionali sublineari su misure ed applicazioni all’integrale multiplo del Calcolo delle Variazioni
    • Bardaro, C. and Candeloro, D., Sull’approssimazione dell’integrale di Burkill-Cesari di funzionali sublineari su misure ed applicazioni all’integrale multiplo del Calcolo delle Variazioni. Atti Sem. Mat. Fis. Univ. Modena, 26 (1977), 339–362.
    • (1977) Atti Sem. Mat. Fis. Univ. Modena , vol.26 , pp. 339-362
    • Bardaro, C.1    Candeloro, D.2
  • 8
    • 51649162614 scopus 로고
    • Teoremi di approssimazione per l’integrale multiplo del Calcolo delle Variazioni
    • Bardaro, C. and Candeloro, D., Teoremi di approssimazione per l’integrale multiplo del Calcolo delle Variazioni. Rend. Cire. Mat. Palermo, 30 (1981), 63–82.
    • (1981) Rend. Cire. Mat. Palermo , vol.30 , pp. 63-82
    • Bardaro, C.1    Candeloro, D.2
  • 9
    • 27844463218 scopus 로고    scopus 로고
    • A modular convergence theorem for general nonlinear integral operators
    • Bardaro, C. and Mantellini, I., A modular convergence theorem for general nonlinear integral operators. Commentationes Math. 36 (1996), 27–37.
    • (1996) Commentationes Math. , vol.36 , pp. 27-37
    • Bardaro, C.1    Mantellini, I.2
  • 10
    • 85053857706 scopus 로고    scopus 로고
    • Modular approximation by sequences of nonlinear integral operators in Musielak — Orlicz spaces. To appear in Atti Sem. Mat. Fis. Univ. Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti
    • in
    • Bardaro, C. and Mantellini, I., Modular approximation by sequences of nonlinear integral operators in Musielak — Orlicz spaces. To appear in Atti Sem. Mat. Fis. Univ. Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti, in occasion of his 70th birthday, Perugia, Sept.30–Oct.4, 1996.
    • (1996) Occasion of his 70th birthday, Perugia, Sept.30–Oct.4
    • Bardaro, C.1    Mantellini, I.2
  • 11
    • 5244313767 scopus 로고
    • Modular estimates and modular convergence for a class of nonlinear operators
    • Bardaro, C., Musielak, J. and Vinti, G., Modular estimates and modular convergence for a class of nonlinear operators. Mathematica Japonica 39 (1994), 7–14.
    • (1994) Mathematica Japonica , vol.39 , pp. 7-14
    • Bardaro, C.1    Musielak, J.2    Vinti, G.3
  • 12
    • 0345807479 scopus 로고    scopus 로고
    • Approximation by nonlinear integral operators in some modular function spaces
    • Bardaro, C., Musielak, J. and Vinti, G., Approximation by nonlinear integral operators in some modular function spaces. Annales Polonici Math. 53 (1996), 173–182.
    • (1996) Annales Polonici Math. , vol.53 , pp. 173-182
    • Bardaro, C.1    Musielak, J.2    Vinti, G.3
  • 13
    • 0347068887 scopus 로고    scopus 로고
    • On the definition and properties of a general modulus of continuity in some functional spaces
    • Bardaro, C., Musielak, J. and Vinti, G., On the definition and properties of a general modulus of continuity in some functional spaces. Math. Japonica 43 (1996), 445–450.
    • (1996) Math. Japonica , vol.43 , pp. 445-450
    • Bardaro, C.1    Musielak, J.2    Vinti, G.3
  • 14
    • 70449517216 scopus 로고    scopus 로고
    • Nonlinear operators of integral type in some functional spaces
    • Bardaro, C, Musielak, J. and Vinti, G., Nonlinear operators of integral type in some functional spaces. Collectanea Math. 48 (1997), 409–422.
    • (1997) Collectanea Math. , vol.48 , pp. 409-422
    • Bardaro, C.1    Musielak, J.2    Vinti, G.3
  • 15
    • 84963443568 scopus 로고
    • Modular convergence in generalized Orlicz spaces for moment type operators
    • Bardaro, C. and Vinti, G., Modular convergence in generalized Orlicz spaces for moment type operators. Applicable Analysis 32 (1989), 265–276.
    • (1989) Applicable Analysis , vol.32 , pp. 265-276
    • Bardaro, C.1    Vinti, G.2
  • 16
    • 44949287427 scopus 로고
    • On approximation properties of certain non convolution integral operators
    • Bardaro, C. and Vinti, G., On approximation properties of certain non convolution integral operators. J. Approx. Theory 62 (1990), 358–371.
    • (1990) J. Approx. Theory , vol.62 , pp. 358-371
    • Bardaro, C.1    Vinti, G.2
  • 17
    • 10844258648 scopus 로고
    • On convergence of moment operators with respect to φ-variation
    • Bardaro, C. and Vinti, G., On convergence of moment operators with respect to φ-variation. Applicable Analysis 41 (1991), 247–256.
    • (1991) Applicable Analysis , vol.41 , pp. 247-256
    • Bardaro, C.1    Vinti, G.2
  • 18
    • 5244292046 scopus 로고
    • Modular estimates of integral operators with homogeneous kernel in Orlicz type classes
    • Bardaro, C. and Vinti, G., Modular estimates of integral operators with homogeneous kernel in Orlicz type classes. Results in Math. 19 (1991), 46–53.
    • (1991) Results in Math. , vol.19 , pp. 46-53
    • Bardaro, C.1    Vinti, G.2
  • 19
    • 77954573310 scopus 로고
    • Some estimates of certain integral operators with respect to multidimensional Vitali φ-variation and applications in Fractional Calculus
    • Bardaro, C. and Vinti, G., Some estimates of certain integral operators with respect to multidimensional Vitali φ-variation and applications in Fractional Calculus. Rend. Mat. Appl. 11 (1991), 405–416.
    • (1991) Rend. Mat. Appl. , vol.11 , pp. 405-416
    • Bardaro, C.1    Vinti, G.2
  • 20
    • 5244344839 scopus 로고
    • Some estimates of certain integral operators in generalized fractional Orlicz classes
    • Bardaro, C. and Vinti, G., Some estimates of certain integral operators in generalized fractional Orlicz classes. Numer. Fund. Anal. Optimiz. 12 (1991), 443–453.
    • (1991) Numer. Fund. Anal. Optimiz. , vol.12 , pp. 443-453
    • Bardaro, C.1    Vinti, G.2
  • 21
    • 43949155573 scopus 로고
    • A general convergence theorem with respect to Cesari variation and applications
    • Bardaro, C. and Vinti, G., A general convergence theorem with respect to Cesari variation and applications. Nonlinear Analysis Theory and Appl. 22 (1994), 505–518.
    • (1994) Nonlinear Analysis Theory and Appl. , vol.22 , pp. 505-518
    • Bardaro, C.1    Vinti, G.2
  • 22
    • 84936450874 scopus 로고
    • Modular convergence theorems in fractional Musielak-Orlicz spaces
    • Bardaro, C. and Vinti, G., Modular convergence theorems in fractional Musielak-Orlicz spaces. Zeitschrift für Analysis und ihre Anwendungen 13 (1994), 155–170.
    • (1994) Zeitschrift für Analysis und ihre Anwendungen , vol.13 , pp. 155-170
    • Bardaro, C.1    Vinti, G.2
  • 23
    • 34249754528 scopus 로고
    • Some inclusion theorems in Orlicz and Musielak-Orlicz type spaces
    • Bardaro, C. and Vinti, G., Some inclusion theorems in Orlicz and Musielak-Orlicz type spaces. Annali di Matematica Pura e Appl. 168 (1995), 189–203.
    • (1995) Annali di Matematica Pura e Appl. , vol.168 , pp. 189-203
    • Bardaro, C.1    Vinti, G.2
  • 24
    • 85053841514 scopus 로고
    • Modular estimates for linear integral operators in Musielak-Orlicz spaces on groups
    • Bardaro, C. and Vinti, G., Modular estimates for linear integral operators in Musielak-Orlicz spaces on groups. Atti Sem. Mat. Fis. Univ. Modena 43 (1995), 483–490.
    • (1995) Atti Sem. Mat. Fis. Univ. Modena , vol.43 , pp. 483-490
    • Bardaro, C.1    Vinti, G.2
  • 26
    • 0347699503 scopus 로고
    • Modular approximation by nonlinear integral operators on locally compact groups
    • Bardaro, C. and Vinti, G., Modular approximation by nonlinear integral operators on locally compact groups. Commentationes Math. 35 (1995), 25–47.
    • (1995) Commentationes Math. , vol.35 , pp. 25-47
    • Bardaro, C.1    Vinti, G.2
  • 27
    • 27844481668 scopus 로고    scopus 로고
    • A general approach to the convergence theorems of generalized sampling series
    • Bardaro, C. and Vinti, G., A general approach to the convergence theorems of generalized sampling series. Applicable Analysis, 64 (1997), 203–217.
    • (1997) Applicable Analysis , vol.64 , pp. 203-217
    • Bardaro, C.1    Vinti, G.2
  • 28
    • 85053845922 scopus 로고    scopus 로고
    • On the order of modular approximation for nets of integral operators in modular Lipschitz classes. To appear in Functiones & Approximatio, special volume dedicated to Prof
    • Bardaro, C. and Vinti, G.
    • Bardaro, C. and Vinti, G., On the order of modular approximation for nets of integral operators in modular Lipschitz classes. To appear in Functiones & Approximatio, special volume dedicated to Prof. J. Musielak.
    • J. Musielak
  • 29
    • 53249088358 scopus 로고
    • Sull’approssimazione dell’integrale multiplo del Calcolo delle Variazioni
    • Boni, M., Sull’approssimazione dell’integrale multiplo del Calcolo delle Variazioni. Atti Sem. Mat. Fis. Univ. Modena 20 (1971), 187–211.
    • (1971) Atti Sem. Mat. Fis. Univ. Modena , vol.20 , pp. 187-211
    • Boni, M.1
  • 30
    • 84916137759 scopus 로고
    • Teoremi di approssimazione per funzionali sublineari su misure e applicazioni all’integrale del Calcolo delle Variazioni
    • Boni, M., Teoremi di approssimazione per funzionali sublineari su misure e applicazioni all’integrale del Calcolo delle Variazioni. Atti Sem. Mat. Fis. Univ. Modena 21 (1972), 237–263.
    • (1972) Atti Sem. Mat. Fis. Univ. Modena , vol.21 , pp. 237-263
    • Boni, M.1
  • 31
    • 0001661294 scopus 로고
    • Indices of function spaces and their relationships to interpolation
    • Boyd, D.W., Indices of function spaces and their relationships to interpolation. Canadian J. Math. 21 (1969), 1245–1254.
    • (1969) Canadian J. Math. , vol.21 , pp. 1245-1254
    • Boyd, D.W.1
  • 32
    • 34250968744 scopus 로고
    • Zur Frage der Saturationsklassen singulärer Integraloperatoren
    • Butzer, P.L., Zur Frage der Saturationsklassen singulärer Integraloperatoren. Math. Zeit. 70 (1959), 93–112.
    • (1959) Math. Zeit. , vol.70 , pp. 93-112
    • Butzer, P.L.1
  • 33
    • 84866007616 scopus 로고
    • Representation and approximation of functions by general singular integrals
    • Butzer, P.L., Representation and approximation of functions by general singular integrals. Indagationes Math. 22 (1960), 1–24.
    • (1960) Indagationes Math. , vol.22 , pp. 1-24
    • Butzer, P.L.1
  • 34
    • 34250958737 scopus 로고
    • Fourier transform methods in the theory of approximation
    • Butzer, P.L., Fourier transform methods in the theory of approximation. Arch. Rational Mach. Anal. 5 (1960), 390–415.
    • (1960) Arch. Rational Mach. Anal. , vol.5 , pp. 390-415
    • Butzer, P.L.1
  • 36
    • 0010923391 scopus 로고
    • Generalized sampling approximation of multivariate signals: theory and applications
    • Butzer, P.L., Fischer, A. and Stens, R.L., Generalized sampling approximation of multivariate signals: theory and applications. Note di Matematica 10 Suppl. n.l (1990), 173–191.
    • (1990) Note di Matematica , vol.10 , pp. 173-191
    • Butzer, P.L.1    Fischer, A.2    Stens, R.L.3
  • 37
    • 0007187894 scopus 로고    scopus 로고
    • The approximate sampling theorem, Poisson’s sum formula, a decomposition theorem for Parseval’s equation and their interconnections
    • Butzer, P.L. and Gessinger, A., The approximate sampling theorem, Poisson’s sum formula, a decomposition theorem for Parseval’s equation and their interconnections. Ann. Numer. Math. 4 (1997), 143–160.
    • (1997) Ann. Numer. Math. , vol.4 , pp. 143-160
    • Butzer, P.L.1    Gessinger, A.2
  • 38
    • 85053847971 scopus 로고    scopus 로고
    • Meilin tranforms, the Mellin-Poisson summation formula and the exponential sampling theorem. To appear in Atti Sem. Mat Fis. Univ. Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti
    • in
    • Butzer, P.L. and Jansche, S., Meilin tranforms, the Mellin-Poisson summation formula and the exponential sampling theorem. To appear in Atti Sem. Mat Fis. Univ. Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti, in occasion of his 70th birthday, Perugia, Sept.30–Oct.4, 1996.
    • (1996) Occasion of his 70th birthday, Perugia, Sept.30–Oct.4
    • Butzer, P.L.1    Jansche, S.2
  • 40
    • 38249033946 scopus 로고
    • Approximation of continuous and discontinuous functions by generalized sampling series
    • Butzer, P.L., Ries, S. and Stens, R.L., Approximation of continuous and discontinuous functions by generalized sampling series. J. Approx. Theory 50 (1987), 25–39.
    • (1987) J. Approx. Theory , vol.50 , pp. 25-39
    • Butzer, P.L.1    Ries, S.2    Stens, R.L.3
  • 41
    • 84934475212 scopus 로고
    • The singular integral of Landau alias the Landau polynomials-placement and impact of Landau’s article: “Uber die Approximation einer stetigen Funktion durch eine ganze rationale Funktion
    • Bateman PT, (ed), Thaies-Verlag, Essen
    • Butzer, P.L. and Stark, E.L., The singular integral of Landau alias the Landau polynomials-placement and impact of Landau’s article: “Uber die Approximation einer stetigen Funktion durch eine ganze rationale Funktion”. In: Edmund Landau Collected Works: Vol. III, Bateman, P.T., et. al. (eds.), pp. 83–111, Thaies-Verlag, Essen, 1986.
    • (1986) Edmund Landau Collected Works: Vol. III , pp. 83-111
    • Butzer, P.L.1    Stark, E.L.2
  • 42
    • 0042888830 scopus 로고
    • The Euler-MacLaurin summation formula, the sampling theorems, and the approximate integration over the real axis
    • Butzer, P.L. and Stens, R.L., The Euler-MacLaurin summation formula, the sampling theorems, and the approximate integration over the real axis. Linear Algebra and its Applications 52-53 (1983), 141–155.
    • (1983) Linear Algebra and its Applications , vol.52-53 , pp. 141-155
    • Butzer, P.L.1    Stens, R.L.2
  • 43
    • 0026838009 scopus 로고
    • Sampling theory for not necessarily band-limited functions: a historical overview
    • Butzer, P.L. and Stens, R.L., Sampling theory for not necessarily band-limited functions: a historical overview. SIAM Review 34 (1992), 40–53.
    • (1992) SIAM Review , vol.34 , pp. 40-53
    • Butzer, P.L.1    Stens, R.L.2
  • 45
    • 0000923872 scopus 로고
    • Sulle funzioni a variazione limitata
    • Cesari, L., Sulle funzioni a variazione limitata. Annali Scuola Norm. Sup. Pisa 5 (1936), 299–313.
    • (1936) Annali Scuola Norm. Sup. Pisa , vol.5 , pp. 299-313
    • Cesari, L.1
  • 46
    • 58449132228 scopus 로고
    • Nuclei di tipo distanza che attutiscono i salti in una o piú variabili
    • Degani Cattelani, F., Nuclei di tipo distanza che attutiscono i salti in una o piú variabili. Atti Sem. Mat. Fis. Univ. Modena 30 (1981), 299–321.
    • (1981) Atti Sem. Mat. Fis. Univ. Modena , vol.30 , pp. 299-321
    • Degani Cattelani, F.1
  • 47
    • 0346306464 scopus 로고
    • Definizione ed espressione analitica di perimetro di un insieme
    • De Giorgi, E., Definizione ed espressione analitica di perimetro di un insieme. Rend. Accad. Naz. Lincei, Cl. Fis. Mat. Nat. (VII) 14 (1953), 390–393.
    • (1953) Rend. Accad. Naz. Lincei, Cl. Fis. Mat. Nat. (VII) , vol.14 , pp. 390-393
    • De Giorgi, E.1
  • 48
    • 0000245505 scopus 로고
    • Su una teoria generale della misura (r — l)-dimensionale in uno spazio ad r dimensioni
    • De Giorgi, E., Su una teoria generale della misura (r — l)-dimensionale in uno spazio ad r dimensioni. Annali di Matematica Pura e Appl. 36 (1954), 191–213.
    • (1954) Annali di Matematica Pura e Appl. , vol.36 , pp. 191-213
    • De Giorgi, E.1
  • 49
    • 0002843453 scopus 로고
    • Fourier analysis and the sampling theorem
    • Dodson, M.M. and Silva, A.M., Fourier analysis and the sampling theorem. Proc. Ir. Acad. 86 A (1985), 81–108.
    • (1985) Proc. Ir. Acad. , vol.86A , pp. 81-108
    • Dodson, M.M.1    Silva, A.M.2
  • 51
    • 84974144504 scopus 로고
    • A note on a paper of E.R. Love
    • Fehér, F., A note on a paper of E.R. Love. Bull. Australian Math. Soc. 19 (1978), 67–75.
    • (1978) Bull. Australian Math. Soc. , vol.19 , pp. 67-75
    • Fehér, F.1
  • 52
    • 58449136259 scopus 로고
    • Variazione di ordine α e dimensione di Hausdorff degli insiemi di Cantor
    • Fiocchi, C., Variazione di ordine α e dimensione di Hausdorff degli insiemi di Cantor. Atti Sem. Mat Fis. Univ. Modena 34 (1991), 649–667.
    • (1991) Atti Sem. Mat Fis. Univ. Modena , vol.34 , pp. 649-667
    • Fiocchi, C.1
  • 55
    • 0004193690 scopus 로고
    • Minimal Surfaces and Functions of Bounded Variation
    • Birkhauser, Basel
    • Giusti, E., Minimal Surfaces and Functions of Bounded Variation. Monographs in Math. 80 Birkhauser, Basel 1984.
    • (1984) Monographs in Math. 80
    • Giusti, E.1
  • 56
    • 84972542010 scopus 로고
    • Sublinear functions of measures and variational integrals
    • Goffmann, C. and Serrin, J., Sublinear functions of measures and variational integrals. Duke Math. J. 31 (1964), 159–178.
    • (1964) Duke Math. J. , vol.31 , pp. 159-178
    • Goffmann, C.1    Serrin, J.2
  • 63
    • 0347699499 scopus 로고    scopus 로고
    • Modular estimates for nonlinear integral operators and applications in fractional calculus
    • Mantellini I. and Vinti, G., Modular estimates for nonlinear integral operators and applications in fractional calculus. Numer. Fund. Anal. Optimiz. 17 (1996), 143–165.
    • (1996) Numer. Fund. Anal. Optimiz. , vol.17 , pp. 143-165
    • Mantellini, I.1    Vinti, G.2
  • 64
    • 85053846380 scopus 로고    scopus 로고
    • Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti
    • ф-variation and nonlinear integral operators. To appear Atti Sem. Mat. Fis. Univ,., in
    • Mantellini I. and Vinti, G., ф-variation and nonlinear integral operators. To appear in Atti Sem. Mat. Fis. Univ. Modena, a special issue of the International Conference in Honour of Professor Calogero Vinti, in occasion of his 70th birthday, Perugia, Sept.30–Oct.4, 1996.
    • (1996) Occasion of his 70th birthday, Perugia, Sept.30–Oct.4
    • Mantellini, I.1    Vinti, G.2
  • 68
    • 5244376007 scopus 로고
    • Approximation by nonlinear singular integral operators in generalized Orlicz spaces
    • Musielak, J., Approximation by nonlinear singular integral operators in generalized Orlicz spaces. Commentationes Math. 31 (1991), 79–88.
    • (1991) Commentationes Math. , vol.31 , pp. 79-88
    • Musielak, J.1
  • 69
    • 0042200370 scopus 로고
    • Nonlinear approximation in some modular function spaces I
    • Musielak, J., Nonlinear approximation in some modular function spaces I. Math. Japonica 38 (1993), 83–90.
    • (1993) Math. Japonica , vol.38 , pp. 83-90
    • Musielak, J.1
  • 70
    • 85053832149 scopus 로고    scopus 로고
    • On nonlinear integral operators. To appear Proceedings of the meeting Real Analysis and Measure Theory Ischia, Italy, (,) and Atti Sem. Mat. Fis. Univ. Modena
    • Musielak, J., On nonlinear integral operators. To appear in Proceedings of the meeting “Real Analysis and Measure Theory”, Ischia, Italy, (1996) and in Atti Sem. Mat. Fis. Univ. Modena.
    • (1996)
    • Musielak, J.1
  • 71
    • 0242370443 scopus 로고
    • On generalized variation I
    • Musielak, J. and Orlicz, W., On generalized variation I. Studia Math. 18 (1959), 11–41.
    • (1959) Studia Math. , vol.18 , pp. 11-41
    • Musielak, J.1    Orlicz, W.2
  • 72
    • 84909786368 scopus 로고
    • Modulared linear spaces
    • Nakano, H., Modulared linear spaces. J. Fac. Sci. Univ. Tokyo 6 (1951), 85–131.
    • (1951) J. Fac. Sci. Univ. Tokyo , vol.6 , pp. 85-131
    • Nakano, H.1
  • 73
    • 84878164486 scopus 로고
    • Generalized modular spaces
    • Nakano, H., Generalized modular spaces. Studia Math. 31 (1968), 439–449.
    • (1968) Studia Math. , vol.31 , pp. 439-449
    • Nakano, H.1
  • 74
    • 0000333677 scopus 로고
    • On the definition and properties of certain variational integrals
    • Serrin, J., On the definition and properties of certain variational integrals. Trans. Amer. Math. Soc. 101 (1961), 139–167.
    • (1961) Trans. Amer. Math. Soc. , vol.101 , pp. 139-167
    • Serrin, J.1
  • 75
    • 34247560136 scopus 로고
    • Approximation formulae of Voronoskaja type for certain convolution operators
    • Sikkema, P.C., Approximation formulae of Voronoskaja type for certain convolution operators. J. Approx. Theory 26 (1979), 26–45.
    • (1979) J. Approx. Theory , vol.26 , pp. 26-45
    • Sikkema, P.C.1
  • 76
    • 49049148321 scopus 로고
    • Fast approximation by means of convolution operators
    • Sikkema, P.C., Fast approximation by means of convolution operators. Indagationes Math. 43 (1981), 431–444.
    • (1981) Indagationes Math. , vol.43 , pp. 431-444
    • Sikkema, P.C.1
  • 77
    • 34347187303 scopus 로고
    • Sopra una classe di funzionali che approssimano l’area di una superficie
    • Vinti, C., Sopra una classe di funzionali che approssimano l’area di una superficie. Annali di Mat. Pura e Appl (IV) 48 (1959), 237–255.
    • (1959) Annali di Mat. Pura e Appl (IV) , vol.48 , pp. 237-255
    • Vinti, C.1
  • 78
    • 34347172916 scopus 로고
    • L’integrale multiplo del Calcolo delle Variazioni ed il problema dell’approssimazione delle funzioni
    • Vinti, C., L’integrale multiplo del Calcolo delle Variazioni ed il problema dell’approssimazione delle funzioni. Annali Mat. Pura e Appl Serie IV 52 (1960), 11–26.
    • (1960) Annali Mat. Pura e Appl Serie IV , vol.52 , pp. 11-26
    • Vinti, C.1
  • 79
    • 85025907165 scopus 로고
    • L’integrale multiplo del Calcolo delle Variazioni in forma ordinaria come generaliz-zazione dell’approssimazione dell’ area di una superficie
    • Vinti, C., L’integrale multiplo del Calcolo delle Variazioni in forma ordinaria come generaliz-zazione dell’approssimazione dell’ area di una superficie. Rend. Sem. Mat. Univ. Padova 31 (1961), 266–280.
    • (1961) Rend. Sem. Mat. Univ. Padova , vol.31 , pp. 266-280
    • Vinti, C.1
  • 81
    • 45949109325 scopus 로고
    • Sull’approssimazione in perimetro e in area
    • Vinti, C., Sull’approssimazione in perimetro e in area. Atti Sem. Mat. Fis. Univ. Modena 13 (1964), 187–197.
    • (1964) Atti Sem. Mat. Fis. Univ. Modena , vol.13 , pp. 187-197
    • Vinti, C.1
  • 83
    • 84933736229 scopus 로고
    • Espressioni che danno l’area di una superficie
    • Vinti, C., Espressioni che danno l’area di una superficie. Atti Sem. Mat. Fis. Univ. Modena 17 (1968), 289–350.
    • (1968) Atti Sem. Mat. Fis. Univ. Modena , vol.17 , pp. 289-350
    • Vinti, C.1
  • 84
    • 84886454530 scopus 로고
    • Generalized (φ-variation in the sense of Vitali: estimates for integral operators and applications in fractional calculus
    • Vinti, G., Generalized φ-variation in the sense of Vitali: estimates for integral operators and applications in fractional calculus. Commentationes Math. 34 (1994), 199–213.
    • (1994) Commentationes Math. , vol.34 , pp. 199-213
    • Vinti, G.1
  • 85
    • 84936476522 scopus 로고
    • I polinomi di Stieltjes approssimanti in variazione di ordine non intero
    • Zanelli, V., I polinomi di Stieltjes approssimanti in variazione di ordine non intero. Atti Sem. Mat. Fis. Univ. Modena 30 (1981), 151–175.
    • (1981) Atti Sem. Mat. Fis. Univ. Modena , vol.30 , pp. 151-175
    • Zanelli, V.1
  • 86
    • 5244243187 scopus 로고
    • Funzioni momento convergenti dal basso in variazione di ordine non intero
    • Zanelli, V., Funzioni momento convergenti dal basso in variazione di ordine non intero. Atti Sem. Mat. Fis. Univ. Modena 30 (1981), 355–369.
    • (1981) Atti Sem. Mat. Fis. Univ. Modena , vol.30 , pp. 355-369
    • Zanelli, V.1


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