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https://hdl.handle.net/20.500.11851/7510
Title: | Statistical approximation results for Kantorovich-type operators involving some special polynomials | Authors: | Özarslan, M. Ali Duman, Oktay Srivastava, H. M. |
Keywords: | A-statistical convergence infinite summability matrix positive linear operators Kantorovich-type operators Lipschitz class modulus of continuity rth order generalizations |
Publisher: | Pergamon-Elsevier Science Ltd | Abstract: | In this paper we introduce a general sequence of Kantorovich-type operators associated with some special polynomials and study their approximation properties. Mainly, we compute the rates of A-statistical convergence of these operators, which are observed to be stronger than that of the operators used commonly in Approximation Theory. Furthermore, we present an rth order generalization of our sequence of Kantorovich-type operators. (c) 2007 Elsevier Ltd. All rights reserved. | URI: | https://doi.org/10.1016/j.mcm.2007.08.015 https://hdl.handle.net/20.500.11851/7510 |
ISSN: | 0895-7177 1872-9479 |
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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