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
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematical research Metric spaces Operator theory Polynomials Variables (Mathematics)
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	1085-3375 1687-0409
DOI:	10.1155/2013/823803