Generalization of Jakimovski−Leviatan type Szasz operators

Sezgin Sucu and Serhan Varma

Applied Mathematics and Computation, 2015, vol. 270, issue C, 977-983

Abstract: The purpose of this paper is to give a Stancu type generalization of Jakimovski–Leviatan type Szasz operators defined by means of the Sheffer polynomials. We obtain convergence properties of our operators with the help of Korovkin theorem and the order of approximation by using classical and second modulus of continuity. Explicit examples with our operators including Meixner polynomials and the 2-orthogonal polynomials of Laguerre type are given. We present two significant numerical mathematical algorithms as examples for the error estimation.

Keywords: Szasz operator; Modulus of continuity; Rate of convergence; Sheffer polynomials; Meixner 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:270:y:2015:i:c:p:977-983

DOI: 10.1016/j.amc.2015.08.077

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