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Approximation of functions by a new construction of Bernstein‐Chlodowsky operators: Theory and applications
Authors:Fuat Usta
Abstract:The main motivation of this paper is to provide a generalization of Bernstein‐Chlodowsky type operators which depend on function τ by 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.
Keywords:Bernstein‐Chlodowsky operator  numerical experiments  rate of convergence  Voronovskaya type theorem  weighted approximation
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