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    Öğe
    A Korovkin type approximation theorem in statistical sense
    (Akademiai Kiado, 2006) Erkus, Esra; Duman, Oktay
    In this study, using the concept of A-statistical convergence we investigate a Korovkin type approximation result for a sequence of positive linear operators defined on the space of all continuous real valued functions on any compact subset of the real m-dimensional space.
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    Öğe
    Statistical approximation of certain positive linear operators constructed by means of the Chan-Chyan-Srivastava polynomials
    (Elsevier Science Inc, 2006) Erkus, Esra; Duman, Oktay; Srivastava, H. M.
    In this study, by obtaining some Korovkin type approximation results in statistical sense for certain positive linear operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials [W.-C.C. Chan, C.-J. Chyan, H.M. Srivastava, The Lagrange polynomials in several variables, Integral Transform. Spec. Funct. 12 (2001) 139-148], we show that our approximation method is stronger than the corresponding classical aspects in the approximation theory settings. Furthermore, we investigate their statistical rates by means of the modulus of continuity and the elements of the Lipschitz class. (c) 2006 Elsevier Inc. All rights reserved.
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    Öğe
    Statistical rates on the multivariate approximation theory
    (Pergamon-Elsevier Science Ltd, 2006) Duman, Oktay; Erkus, Esra; Gupta, Vijay
    Statistical rates of approximations by means of positive linear operators defined on the space of multivariate continuous functions are studied. Furthermore, displaying an example, it is shown that our statistical rates are more efficient than the classical aspects in the approximation theory. (c) 2006 Elsevier Ltd. All rights reserved.