TY  - EJOU
AU  - Yılmaz, Mine Menekşe 

TI  - Approximation by Szász Type Operators Involving Apostol-Genocchi Polynomials
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2022
VL  - 130
IS  - 1
SN  - 1526-1506

AB  - The goal of this paper is to give a form of the operator involving the generating function of Apostol-Genocchi polynomials of order <i>α</i>. Applying the Korovkin theorem, we arrive at the convergence of the operator with the aid of moments and central moments. We determine the rate of convergence of the operator using several tools such as -functional, modulus of continuity, second modulus of continuity. We also give a type of Voronovskaya theorem for estimating error. Moreover, we investigate some results about convergence properties of the operator in a weighted space. Finally, we give numerical examples to support our theorems by using the Maple.
KW  - Apostol-Genocchi polynomials; rate of convergence; Korovkin theorem; modulus of continuity; Szász type operators; generating functions

DO  - 10.32604/cmes.2022.017385