Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8902066 | Journal of Computational and Applied Mathematics | 2018 | 12 Pages |
Abstract
In this paper we consider old and new operators of Szász 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 Szász-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli,