Abstract

AbstractThe main motivation of this paper is to provide a generalization of Bernstein‐Chlodowsky type operators which depend on functionτby means of two sequences of functions. The newly defined operators fix the test function set{1, τ, τ2}. Then we present the approximation properties of newly defined operators, such as weighted approximation, degree of approximation and Voronovskaya type theorems. Finally, we present a series of numerical examples demonstrating the effectiveness of this newly defined Bernstein‐Chlodowsky operators for computing function approximation.

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