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On Approximation Properties of Baskakov-Schurer-Szasz-Stancu Operators Based on q-integers
Journal article   Open access  Peer reviewed

On Approximation Properties of Baskakov-Schurer-Szasz-Stancu Operators Based on q-integers

M. Mursaleen, A. A. H. Al-Abied and Khursheed J. Ansari
Filomat, Vol.32(4), pp.1359-1378
01/01/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In the present paper, we introduce Stancu type generalization of Baskakov-Schurer-Szasz operators based on the q-integers and investigate their approximation properties. We obtain rate of convergence, weighted approximation and Voronovskaya type theorem for new operators. Then we obtain a point-wise estimate using the Lipschitz type maximal function. Furthermore, we study A-statistical convergence of these operators and also, in order to obtain a better approximation.
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https://doi.org/10.2298/FIL1804359MView
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