Some results on generalized Szasz operators involving Sheffer polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:337

Article

Costabile, Francesco Aldo¹  Gualtieri, Maria Italia¹  Napoli, Anna¹ 

[1] Univ Calabria, Dept Math & Comp Sci, I-87036 Arcavacata Di Rende, Cs, Italy

关键词: Szasz operator;    Sheffer polynomials;    Asymptotic expansion;    Rate of convergence;    Extrapolation;   

DOI  :  10.1016/j.cam.2018.01.016

来源: Elsevier

【 摘 要 】

In this paper we consider old and new operators of Szasz type involving Sheffer polynomials. We present an asymptotic expansion formula for operators of Ismail type. Then, in order to improve the accuracy of the approximation of a function f in a fixed point, we apply a well-known extrapolation algorithm. We also introduce some new special sequences of Appell and Sheffer polynomials and construct new generalized Szasz-type operators. By using classical techniques we investigate approximation properties and rate of convergence for these operators and compare the results with other existing operators. Finally, we present numerical examples which confirm the validity of the theoretical analysis and the effectiveness of the presented operators. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free