Approximation for the Bernstein operator of max-product kind in symmetric range

Document Type : Original Article

Authors

Ecem Acar ¹

Done Karahan ¹

Sevilay Kirci Serenbay ²

¹ Department of Mathematics, University of Harran, 63100, Anlurfa, Turkey

² Department of Mathematics, University of Harran, 63100, Anlurfa, Turkey.

10.22034/kjm.2020.109823

Abstract

In the approximation theory, polynomials are particularly positive linear operators. Nonlinear positive operators by means of maximum and product were introduced by B. Bede. In this paper, the max-product of Bernstein operators for symmetric ranges are introduced and some upper estimates of approximation error for some subclasses of functions are obtained. Also, we investigate the shape-preserving properties.

Keywords

Max-product

degree of approximation

symmetric range

shape-preserving properties

Subjects

• 41 Approximations and expansions

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