메뉴 건너뛰기




Volumn 50, Issue 1-2, 2007, Pages 1-16

Voronovskaya-type estimates for mellin convolution operators

Author keywords

Local moments; Mellin convolution operators; Mellin derivative; Voronovskaya formulae

Indexed keywords


EID: 34247608250     PISSN: 14226383     EISSN: 14209012     Source Type: Journal    
DOI: 10.1007/s00025-006-0231-3     Document Type: Article
Times cited : (27)

References (22)
  • 1
    • 0036572685 scopus 로고    scopus 로고
    • On approximation properties of Balázs-Szabados operators and their Kantorovich extension
    • O. Agratini, On approximation properties of Balázs-Szabados operators and their Kantorovich extension. Korean J. Comput. Appl. Math. 9 (2002), 361-372.
    • (2002) Korean J. Comput. Appl. Math , vol.9 , pp. 361-372
    • Agratini, O.1
  • 2
    • 0011548786 scopus 로고
    • Limit semigroups of Bernstein-Schnabl operators associated with positive projection
    • F. Altomare, Limit semigroups of Bernstein-Schnabl operators associated with positive projection. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 16(4) (1989), 259-279.
    • (1989) Ann. Scuola Norm. Sup. Pisa Cl. Sci , vol.16 , Issue.4 , pp. 259-279
    • Altomare, F.1
  • 4
    • 0012913685 scopus 로고    scopus 로고
    • Rev. Roumaine Math. Pures Appl, honour of Academician Romulus Cristescu on his 70th birthday
    • F. Altomare and E. Mangino, On a generalization of Baskakov operators. Rev. Roumaine Math. Pures Appl. 44 (1999), No. 5-6, 683-705 (2000), in honour of Academician Romulus Cristescu on his 70th birthday.
    • (1999) On a generalization of Baskakov operators , vol.44 , Issue.5-6 , pp. 683-705
    • Altomare, F.1    Mangino, E.2
  • 5
    • 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
  • 6
    • 34247570354 scopus 로고    scopus 로고
    • The Voronovskaja theorem for Bernstein-Schurer bivariate operators
    • D. Bǎrbosu, The Voronovskaja theorem for Bernstein-Schurer bivariate operators. Rev. Anal. Numér. Théor Approx. 33 (2004), 19-24.
    • (2004) Rev. Anal. Numér. Théor Approx , vol.33 , pp. 19-24
    • Bǎrbosu, D.1
  • 7
    • 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 (München) 23 (2003), 299-340.
    • (2003) Analysis (München) , vol.23 , pp. 299-340
    • Bardaro, C.1    Butzer, P.L.2    Stens, R.L.3    Vinti, G.4
  • 8
    • 34247564521 scopus 로고    scopus 로고
    • C. Bardaro and I. Mantellini, Linear integral operators with homogeneous kernel: Approximation properties in modular spaces. Applications to Mellin-type convolution operators and to some classes of fractional operators. Applied Math. Rev. I, World Scientific, Ed. George Anastassiou, River Edge, N.J. (2000), 45-67.
    • C. Bardaro and I. Mantellini, Linear integral operators with homogeneous kernel: Approximation properties in modular spaces. Applications to Mellin-type convolution operators and to some classes of fractional operators. Applied Math. Rev. vol. I, World Scientific, Ed. George Anastassiou, River Edge, N.J. (2000), 45-67.
  • 9
    • 85064786194 scopus 로고    scopus 로고
    • Approximation properties in abstruct modular spaces for a class of general sampling-type operators
    • C. Bardaro and I. Mantellini, Approximation properties in abstruct modular spaces for a class of general sampling-type operators. Appl. Anal. 85 (2006), 383-413.
    • (2006) Appl. Anal , vol.85 , pp. 383-413
    • Bardaro, C.1    Mantellini, I.2
  • 10
    • 34247573872 scopus 로고    scopus 로고
    • Pointwise convergence theorems for nonlinear Mellin convolution operators
    • C. Bardaro and I. Mantellini, Pointwise convergence theorems for nonlinear Mellin convolution operators. Int. J. Pure Appl. Math. 27(4) (2006), 431-447.
    • (2006) Int. J. Pure Appl. Math , vol.27 , Issue.4 , pp. 431-447
    • Bardaro, C.1    Mantellini, I.2
  • 13
    • 1842730304 scopus 로고    scopus 로고
    • A direct approach to the Mellin transform
    • P. L. Butzer and S. Jansche, A direct approach to the Mellin transform. J. Fourier Anal. Appl. 3 (1997), 325-375.
    • (1997) J. Fourier Anal. Appl , vol.3 , pp. 325-375
    • Butzer, P.L.1    Jansche, S.2
  • 14
    • 34247581206 scopus 로고    scopus 로고
    • P. L. Butzer and S. Jansche, Mellin transform, the Mellin-Poisson summation formula and the exponential sampling theorem. Atti Sem. Mat. Fis. Univ. Modena, Suppl. 46, A special dedicated to Professor Calogero Vinti (1998), 99-122.
    • P. L. Butzer and S. Jansche, Mellin transform, the Mellin-Poisson summation formula and the exponential sampling theorem. Atti Sem. Mat. Fis. Univ. Modena, Suppl. 46, A special volume dedicated to Professor Calogero Vinti (1998), 99-122.
  • 16
    • 34247629376 scopus 로고
    • A Voronovskaya theorem for variation diminishing spline approximation
    • M. J. Marsden, A Voronovskaya theorem for variation diminishing spline approximation, Canad. J. Math. 38 (1986), 1081-1093.
    • (1986) Canad. J. Math , vol.38 , pp. 1081-1093
    • Marsden, M.J.1
  • 17
    • 33748658501 scopus 로고    scopus 로고
    • Rev. Anal. Numér. Théor. Approx, dedicated to the memory of Acad. Tiberiu Popoviciu
    • M. Ivan and I. Raşa, A Voronovskaya-type theorem. Rev. Anal. Numér. Théor. Approx. 30 (2001), 47-54, dedicated to the memory of Acad. Tiberiu Popoviciu.
    • (2001) A Voronovskaya-type theorem , vol.30 , pp. 47-54
    • Ivan, M.1    Raşa, I.2
  • 18
    • 34247633464 scopus 로고    scopus 로고
    • A Voronovskaja-type theorem for some linear positive operators
    • L. Rempulska and M. Skorupka, A Voronovskaja-type theorem for some linear positive operators. Indian J. Math. 39 (1997), 127-137.
    • (1997) Indian J. Math , vol.39 , pp. 127-137
    • Rempulska, L.1    Skorupka, M.2
  • 19
    • 34247560136 scopus 로고
    • Approximation formulae of Voronovskaya type for certain convolution operators
    • P. C. Sikkema, Approximation formulae of Voronovskaya 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
  • 20
    • 34247564995 scopus 로고
    • Theorem of Voronovskaya for Szász- Chlodovsky operators
    • Math
    • Z. Stypiński, Theorem of Voronovskaya for Szász- Chlodovsky operators. Functiones et Approximatio Comment. Math. 1 (1974), 133-137.
    • (1974) Functiones et Approximatio Comment , vol.1 , pp. 133-137
    • Stypiński, Z.1
  • 21
    • 0002663429 scopus 로고
    • Determination of the asymptotic form of approximation of functions by the polynomials of S. N. Bernstein
    • E. V. Voronovskaya, Determination of the asymptotic form of approximation of functions by the polynomials of S. N. Bernstein. Dokl. Akad. Nauk SSSR, A (1932), 79-85.
    • (1932) Dokl. Akad. Nauk SSSR, A , pp. 79-85
    • Voronovskaya, E.V.1
  • 22
    • 34247632968 scopus 로고    scopus 로고
    • Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators
    • Z. Walczak, Error estimates and the Voronovskaja theorem for modified Szász-Mirakyan operators. Math. Slovaca 55 (2005), 465-476.
    • (2005) Math. Slovaca , vol.55 , pp. 465-476
    • Walczak, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.