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Modified Stancu operators based on inverse Polya Eggenberger distribution
Sheetal Deshwal1, P N Agrawal1, Serkan Araci2
1Indian Institute of Techology Roorkee, Roorkee, 247667 India.
Abstract:
In this paper, we construct a sequence of modified Stancu-Baskakov operators for a real valued function bounded on [Formula: see text], based on a function [Formula: see text]. This function [Formula: see text] is infinite times continuously differentiable on [Formula: see text] and satisfy the conditions [Formula: see text] and [Formula: see text] is bounded for all [Formula: see text]. We study the degree of approximation of these operators by means of the Peetre K-functional and the Ditzian-Totik modulus of smoothness. The quantitative Voronovskaja-type theorems are also established in terms of the first order Ditzian-Totik modulus of smoothness.
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