On the Bézier Variant of the Srivastava-Gupta Operators

Abstract

In the present paper, we introduce the Bézier variant of the Srivastava-Gupta operators, which preserve constant as well as linear functions. Our study focuses on a direct approximation theorem in terms of the Ditzian-Totik modulus of smoothness, respectively the rate of convergence for differentiable functions whose derivatives are of bounded variation.

Approximation by generalized Bernstein–Stancu operators

“…The motivation for this paper is the operator constructed in 2017 by Chen et al in [12] and it is a new family of generalized Bernstein operators depending on a nonnegative real parameter α . The α -Bernstein operators and their generalizations were extensively studied in last two years by many researchers, as we can see in [1][2][3][4][22][23][24].…”

On the Generalized Baskakov Durrmeyer Operators

“…Moreover in [2] a durrmeyer type generalization of Szasz operators was introduced. Many writers have studied in this way, see [3][4][5][6][7][8][9][10], and the references therein. Very recently Patel et al [11] studied generalization of Baskakov operators.…”

Genuine Modified Baskakov-Durrmeyer Operators

“…Since then, many researchers have conducted studies in this field. Among the others, we refer the readers to [ [10], [16], [19], [20], [21]].…”