On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Vasian, Bianca Ioana

doi:10.2478/auom-2023-0014

Abstract

In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given in terms of modulus of continuity ω(f, δ). A Voronovskaja type theorem will be proved as well.

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On approximation properties of some non-positive Bernstein-Durrmeyer type operators

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