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Some approximation results on Bernstein-Schurer operators defined by (p, q)-integers
Journal article   Open access  Peer reviewed

Some approximation results on Bernstein-Schurer operators defined by (p, q)-integers

Mohammad Mursaleen, Md Nasiruzzaman, Ashirbayev Nurgali and Mohammad Nasiruzzaman
Journal of inequalities and applications, Vol.2015(1), pp.1-12
13/08/2015

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Recently, Mursaleen et al. (On (p, q)-analogue of Bernstein operators, arXiv:1503.07404) introduced and studied the (p, q)-analog of Bernstein operators by using the idea of (p, q)-integers. In this paper, we generalize the q-Bernstein-Schurer operators using (p, q)-integers and obtain a Korovkin type approximation theorem. Furthermore, we obtain the convergence of the operators by using the modulus of continuity and prove some direct theorems.
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https://doi.org/10.1186/s13660-015-0767-4View
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