q-Szász-Mirakyan-Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces

q-Szász-Mirakyan-Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces

The present paper deals with approximation properties of q-Szász-Mirakyan-Kantorovich operators. We construct new bivariate generalization by qR-integral and these operators' approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya-type theorem for t...

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013, p.216-224-1122
1. Verfasser: Orkcu, Mediha
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Mathematical research
Metric spaces
Operator theory
Polynomials
Variables (Mathematics)
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description The present paper deals with approximation properties of q-Szász-Mirakyan-Kantorovich operators. We construct new bivariate generalization by qR-integral and these operators' approximation properties in polynomial weighted spaces are investigated. Also, we obtain Voronovskaya-type theorem for the proposed operators in polynomial weighted spaces of functions of two variables.
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subjects Mathematical research
Metric spaces
Operator theory
Polynomials
Variables (Mathematics)
title q-Szász-Mirakyan-Kantorovich Operators of Functions of Two Variables in Polynomial Weighted Spaces
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