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On Kantorovich modification of (p, q)-Baskakov operators
Journal article   Open access  Peer reviewed

On Kantorovich modification of (p, q)-Baskakov operators

Tuncer Acar, Ali Aral and Syed Abdul Mohiuddine
Journal of inequalities and applications, Vol.2016(1), pp.1-14
29/03/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The concern of this paper is to introduce a Kantorovich modification of (p, q)-Baskakov operators and investigate their approximation behaviors. We first define a new (p, q)-integral and construct the operators. The rate of convergence in terms of modulus of continuities, quantitative and qualitative results in weighted spaces, and finally pointwise convergence of the operators for the functions belonging to the Lipschitz class are discussed.
url
https://doi.org/10.1186/s13660-016-1045-9View
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