WEIGHTED APPROXIMATION PROPERTIES OF STANCU TYPE MODIFICATION OFq-SZÁSZ-DURRMEYER OPERATORS

Year 2016, Volume: 65 Issue: 1, 87 - 104, 01.02.2016

Gürhan Içöz N. Mohapatra R.

https://doi.org/10.1501/Commua1_0000000746

Cited By: 3

Abstract

In this paper, we are dealing with q-Sz·sz-Mirakyan-DurrmeyerStancu operators. Firstly, we establish moments of these operators and estimate convergence results. We discuss a Voronovska ja type result for the
operators. We shall give the weighted approximation properties of these operators. Furthermore, we study the weighted statistical convergence for the
operators.

Keywords

q-Durrmeyer operators, q-Jackson integral, q-Beta functions

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• Current address : Department of Mathematics, Gazi University, Ankara, Turkey; E-mail address : [e-mail]. Current address : Department of Mathematics, University of Central Florida, Orlando, FL, USA; E-mail address : [e-mail].