BLENDING TYPE APPROXIMATION BY BÉZIER-SUMMATION-INTEGRAL TYPE OPERATORS

Year 2018, Volume: 67 Issue: 2, 195 - 208, 01.08.2018

Tuncer Acar Arun Kajla

Abstract

In this note we construct the B€zier 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 Voronovska ja type theorem

Keywords

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

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• Current address : Tuncer Acar: Kirikkale University, Faculty of Science and Arts, Department of Mathematics, Yahsihan, 71450, Kirikkale, Turkey
• E-mail address : [e-mail] ORCID Address: Current address : Arun Kajla: Department of Mathematics, Central University of Haryana, Haryana-123031, India
• E-mail address : [e-mail] ORCID Address: http://orcid.org/0000-0003-4273-4830