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# Convergence of the q analogue of Szasz-Beta operators

Faculty of Arts and Sciences, Kirikkale University, Кырыккале, Kırıkkale, Turkey
(Impact Factor: 1.55). 03/2010; 216(2):374-380. DOI: 10.1016/j.amc.2010.01.018
Source: DBLP

ABSTRACT

In the present paper we introduce the q analogue of the well known Szász-Beta operators [11]. We also establish the approximation properties of these operators and estimate convergence results. In the end we propose an open problem.

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• "Weighted approximation. ([5], [21]) Let H 2 [0, ∞) be space of all functions f defined on [0, ∞) with the property that |f (x)| ≤ M f (1 + x 2 ), where M f is a constant depending only on f . By C 2 [0, ∞), we denote the subspace of all continuous functions belonging to H 2 [0, ∞). "
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