Blending Type Approximation By Bezier-Summation-Integral Type Operators

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Date

2018

Journal Title

Journal ISSN

Volume Title

Publisher

Ankara Univ, Fac Sci

Access Rights

info:eu-repo/semantics/openAccess

Abstract

In this note we construct the Bezier variant of summation integral type operators based on a non-negative real parameter. We present a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. In the last section, we study the quantitative Voronovskaja type theorem.

Description

Acar, Tuncer/0000-0003-0982-9459

Keywords

Blending type approximation, Bezier-Summation-Integral type operators, weighted approximation, rate of convergence

Journal or Series

Communications Faculty Of Sciences University Of Ankara-Series A1 Mathematics And Statistics

WoS Q Value

N/A

Scopus Q Value

Volume

67

Issue

2

Citation

Acar, T. & Kajla, A. (2018).Blending Type Approximation By Bezier-Summation-Integral Type Operators. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics , 67 (2) , 195-208.