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Statistical approximation in multivariate modular function spaces

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EN
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In this paper, using the concept of A-statistical convergence we prove a Korovkin type approximation theorem in multivariate modular function spaces. Furthermore, giving an example via bivariate operators of Kantorovich type, it is shown that our theorem is stronger than its classical case.
Rocznik
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39--53
Opis fizyczny
Bibliogr. 25 poz.
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autor
Bibliografia
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  • [4] C. Bardaro and I. Mantellini, A Korovkin theorem in multivariate modular function spaces, Journal of function spaces and applications 7(2) (2009), 105-120.
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  • [18] S. Karaku¸s, K. Demirci and O. Duman, Statistical Approximation by Positive Linear Operators on Modular Spaces. Positivity 14 (2010), 321-334.
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  • [20] P.P. Korovkin, Linear operators and approximation theory, Hindustan, Delhi, 1960.
  • [21] J. Musielak, Orlicz Spaces and Modular Spaces, Springer-Verlag, Lecture Notes in Math., 1034 (1983).
  • [22] J. Musielak, Nonlinear approximation in some modular function spaces I, Math. Japon. 38 (1993), 83-90.
  • [23] O.T. Pop and M.D. Farca¸s, About the bivariate operators of Kantorovich type, Acta Math. Univ. Comenianae, 78(1) (2009), 43-52.
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Bibliografia
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bwmeta1.element.baztech-article-BUS8-0012-0012
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