Asymptotic Formulae for Modified Bernstein Operators Based on Regular Summability Methods

Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/12534

Title:	Asymptotic Formulae for Modified Bernstein Operators Based on Regular Summability Methods
Authors:	Alemdar, Meryem Ece Duman, Oktay
Keywords:	Bernstein Polynomials Bernstein-Kantorovich Polynomials Voronovskaja-Type Asymptotic Formula Regular Summability Methods Matrix Methods Power Series Methods
Publisher:	Hacettepe Univ, Fac Sci
Abstract:	In this paper, we get new Voronovskaja-type asymptotic formulae for modified Bernstein operators by using regular summability methods. We also display some significant special cases of our results including the methods of Ces & agrave;ro summability, Riesz summability, Abel summability and Borel summability. At the end, we also discuss the similar results for the Kantorovich version of the operators.
URI:	https://doi.org/10.15672/hujms.1486862 https://hdl.handle.net/20.500.11851/12534
ISSN:	2651-477X
Appears in Collections:	Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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