On Chlodowsky variant of Szász operators by Brenke type polynomials

M. Mursaleen and Khursheed J. Ansari

Applied Mathematics and Computation, 2015, vol. 271, issue C, 991-1003

Abstract: The aim of the present paper is to give a Chlodowsky type generalization of Szász operators defined by means of the Brenke type polynomials. We obtain convergence properties of our operators with the help of universal Korovkin-type property and also establish the order of convergence by using a classical approach, the second order modulus of continuity and Peetre’s K-functional. We also give a Voronoskaja type theorem. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis. Some graphical examples for the convergence of our operators and error estimation are also given.

Keywords: Szász operators; Modulus of continuity; Rate of convergence; Weighted space; Divided differences; Brenke polynomials (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:991-1003

DOI: 10.1016/j.amc.2015.08.123

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