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Volumn 49, Issue 1-2, 2006, Pages 1-23

Erratum to Convergence in variation and rate of pproximation for nonlinear integral operators of convolution type (Results. Math. (2006), 49, (1-23), 10.1007/s00025-006-0208-2);Convergence in variation and rate of approximation for nonlinear integral operators of convolution type

Author keywords

Lipschitz classes; Multidimensional variation; Nonlinear integral operators; Order of approximation

Indexed keywords


EID: 33750906082     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/s00025-010-0019-3     Document Type: Erratum
Times cited : (40)

References (27)
  • 1
    • 27844531240 scopus 로고    scopus 로고
    • A unified approach to approximation results with applications to nonlinear sampling theory
    • L. Angeloni and G. Vinti, A unified approach to approximation results with applications to nonlinear sampling theory, Int. Journal of Math. Sciences, 3(1) (2004), 94-129.
    • (2004) Int. Journal of Math. Sciences , vol.3 , Issue.1 , pp. 94-129
    • Angeloni, L.1    Vinti, G.2
  • 2
    • 33750926695 scopus 로고    scopus 로고
    • Rate of approximation for nonlinear integral operators with application to signal processing
    • L. Angeloni and G. Vinti, Rate of approximation for nonlinear integral operators with application to signal processing, Differential Integral Equations, 18(8) (2005), 855-890.
    • (2005) Differential Integral Equations , vol.18 , Issue.8 , pp. 855-890
    • Angeloni, L.1    Vinti, G.2
  • 3
    • 5244340939 scopus 로고
    • Approssimazione mediante nuclei momento
    • F. Barbieri, 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
  • 4
    • 33750922214 scopus 로고
    • Nuclei, derivata simmetrica e perimetro di una misura [Kernels, the symmetric derivative and the perimeter of a measure]
    • C. Bardaro, Nuclei, derivata simmetrica e perimetro di una misura [Kernels, the symmetric derivative and the perimeter of a measure], Atti Sem. Mat. Fis. Univ. Modena, 28 (1979), no. 2, 373-386.
    • (1979) Atti Sem. Mat. Fis. Univ. Modena , vol.28 , Issue.2 , pp. 373-386
    • Bardaro, C.1
  • 5
    • 29944433767 scopus 로고    scopus 로고
    • Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals
    • C. Bardaro, P. L. Butzer, R. L. Stens, and G. Vinti, Convergence in variation and rates of approximation for Bernstein-type polynomials and singular convolution integrals, Analysis, 23 (2003), 299-340.
    • (2003) Analysis , vol.23 , pp. 299-340
    • Bardaro, C.1    Butzer, P.L.2    Stens, R.L.3    Vinti, G.4
  • 8
    • 0010923391 scopus 로고
    • Generalized sampling approximation of multivariate signals; theory and some applications
    • P. L. Butzer, A. Fischer and R. L. Stens, Generalized sampling approximation of multivariate signals; theory and some applications, Note Mat., 10 Suppl. No. 1 (1990), 173-191.
    • (1990) Note Mat. , vol.10 , Issue.1 SUPPL. , pp. 173-191
    • Butzer, P.L.1    Fischer, A.2    Stens, R.L.3
  • 10
    • 0000923872 scopus 로고
    • Sulle funzioni a variazione limitata
    • L. Cesari, Sulle funzioni a variazione limitata, Ann. Scuola Norm. Sup. Pisa, 5 (1936), 299-313.
    • (1936) Ann. Scuola Norm. Sup. Pisa , vol.5 , pp. 299-313
    • Cesari, L.1
  • 11
    • 0003352571 scopus 로고
    • Multivariate splines
    • Society for Industrial and Applied Mathematics SIAM Philadelphia, PA
    • C. K. Chui, Multivariate splines, CBMS-NSF Regional Conference Series in Applied Mathematics, 54, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1988.
    • (1988) CBMS-NSF Regional Conference Series in Applied Mathematics , vol.54
    • Chui, C.K.1
  • 12
    • 0000245505 scopus 로고
    • Su una teoria generale della misura (r-1)-dimensionale in uno spazio ad r dimensioni
    • E. De Giorgi, Su una teoria generale della misura (r-1)-dimensionale in uno spazio ad r dimensioni, Ann. Mat. Pura Appl., 36(4) (1954), 191-213.
    • (1954) Ann. Mat. Pura Appl. , vol.36 , Issue.4 , pp. 191-213
    • De Giorgi, E.1
  • 14
    • 33750916938 scopus 로고
    • Characterizations of absolutely continuous and singular functions
    • Hungary, Alexits, G. and Steckin, S.B., eds. Akadémiai Kiadó, Budapest
    • K. M. Garg, Characterizations of absolutely continuous and singular functions, Approximation Theory, Proc. Conf. on Constructive Theory of Functions, Budapest, Hungary, 1969 (Alexits, G. and Steckin, S.B., eds.), Akadémiai Kiadó, Budapest, (1972), 183-188.
    • (1969) Approximation Theory, Proc. Conf. on Constructive Theory of Functions, Budapest , pp. 183-188
    • Garg, K.M.1
  • 15
    • 0003343498 scopus 로고
    • Minimal Surfaces and Functions of Bounded Variation
    • Birkhäuser Verlag, Basel
    • E. Giusti, Minimal Surfaces and Functions of Bounded Variation, Monographs in Mathematics, vol. 80, Birkhäuser Verlag, Basel, 1984.
    • (1984) Monographs in Mathematics , vol.80
    • Giusti, E.1
  • 16
    • 51249194998 scopus 로고
    • Lower-semi-continuity and area functionals. I. The non-parametric case
    • C. Goffman, Lower-semi-continuity and area functionals. I. The non-parametric case, Rend. Circ. Mat. Palermo, (2) 2 (1953), 203-235.
    • (1953) Rend. Circ. Mat. Palermo , vol.2 , Issue.2 , pp. 203-235
    • Goffman, C.1
  • 17
    • 0003379363 scopus 로고
    • Box splines
    • College Station, TX, USA, 1986, C. K. Chui, L. L. Schumaker and J. D. Ward, eds. Academic Press Inc., Boston, MA
    • K. Höllig, Box splines, In "Approximation Theory V," Proc. Conf., College Station, TX, USA, 1986, (C. K. Chui, L. L. Schumaker and J. D. Ward, eds.), Academic Press Inc., Boston, MA, (1986), 71-95.
    • (1986) "Approximation Theory V," Proc. Conf. , pp. 71-95
    • Höllig, K.1
  • 18
    • 34250285811 scopus 로고
    • Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen
    • 105-133
    • K. Krickeberg, Distributionen, Funktionen beschränkter Variation und Lebesguescher Inhalt nichtparametrischer Flächen, Ann. Mat. Pura Appl., (4) 44 (1957), 92, 105-133.
    • (1957) Ann. Mat. Pura Appl. , vol.4 , Issue.44 , pp. 92
    • Krickeberg, K.1
  • 19
    • 33750925753 scopus 로고    scopus 로고
    • φ-variation and nonlinear integral operators
    • Univ. Modena, Suppl. al
    • I. Mantellini and G. Vinti, φ-variation and nonlinear integral operators, Atti Sem. Mat. Fis. Univ. Modena, Suppl. al vol. 46 (1998), 847-862.
    • (1998) Atti Sem. Mat. Fis. , vol.46 , pp. 847-862
    • Mantellini, I.1    Vinti, G.2
  • 20
    • 0003311060 scopus 로고    scopus 로고
    • Orlicz Spaces and Modular Spaces
    • Springer-Verlag
    • J. Musielak, Orlicz Spaces and Modular Spaces, Springer-Verlag, Lecture Notes in Math., 1034, 1983.
    • Lecture Notes in Math. , vol.1034 , pp. 1983
    • Musielak, J.1
  • 21
    • 0001845851 scopus 로고
    • On generalized variations. I
    • J. Musielak and W. Orlicz, On generalized variations. I, Studia Math., 18 (1959), 11-41.
    • (1959) Studia Math. , vol.18 , pp. 11-41
    • Musielak, J.1    Orlicz, W.2
  • 24
    • 33750908784 scopus 로고    scopus 로고
    • φ for a class of nonlinear Volterra-Hammerstein integral operators and applications
    • φ for a class of nonlinear Volterra-Hammerstein integral operators and applications, J. Concrete Appl. Anal., 1 (4) (2003), 287-306.
    • (2003) J. Concrete Appl. Anal. , vol.1 , Issue.4 , pp. 287-306
    • Sciamannini, S.1    Vinti, G.2
  • 25
    • 10044291101 scopus 로고
    • On the differentiability of functions of several variables
    • J. Serrin, On the differentiability of functions of several variables, Arch. Rational Mech. Anal., 7 (1961), 359-372.
    • (1961) Arch. Rational Mech. Anal. , vol.7 , pp. 359-372
    • Serrin, J.1
  • 26
    • 33750921310 scopus 로고
    • Su alcuni concetti dell'analisi moderna
    • L. Tonelli, Su alcuni concetti dell'analisi moderna, Ann. Scuola Norm. Super. Pisa, (2) 11 (1942), 107-118.
    • (1942) Ann. Scuola Norm. Super. Pisa , vol.2 , Issue.11 , pp. 107-118
    • Tonelli, L.1
  • 27
    • 33750918532 scopus 로고
    • Perimetro - Variazione
    • C. Vinti, Perimetro - variazione, Ann. Scuola Norm. Sup. Pisa, (3) 18 (1964), 201-231.
    • (1964) Ann. Scuola Norm. Sup. Pisa , vol.3 , Issue.18 , pp. 201-231
    • Vinti, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.