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https://hdl.handle.net/20.500.11851/7507
Title: | Statistical Approximation of Certain Positive Linear Operators Constructed by Means of the Chan-Chyan Polynomials | Authors: | Erkuş,Duman, Esra Duman, Oktay Srivastava, H. M. |
Keywords: | Chan-Chyan-Srivastava multivariable polynomials Lagrange polynomials A-statistical convergence positive linear operators Korovkin approximation theorem Fourier series Gibbs phenomenon modulus of continuity lipschitz class |
Publisher: | Elsevier Science Inc | Abstract: | 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. | URI: | https://doi.org/10.1016/j.amc.2006.01.090 https://hdl.handle.net/20.500.11851/7507 |
ISSN: | 0096-3003 1873-5649 |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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