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arXiv · 1508.05292

On approximation properties of Baskakov-Schurer-Szasz operators

Vishnu Narayan Mishra·Preeti Sharma
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Abstract

In this paper, we are dealing with a new type of Baskakov-Schurer-Szasz operators (\ref{eq1}). Approximation properties of this operators are explored: the rate of convergence in terms of the usual moduli of smoothness is given, the convergence in certain weighted spaces is investigated. We study $q$-analogues of Baskakov-Schurer-Szász operators and it's Stancu generalization. In the last section, we give better error estimations for the operators (\ref{eq2}) using King type approach and obtained weighted statistical approximation properties for operator (\ref{qb})

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Vishnu Narayan Mishra, Preeti Sharma. 2015-08-21. On approximation properties of Baskakov-Schurer-Szasz operators. https://arxiv.org/abs/1508.05292

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