- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 2
- Kantorovich-Stancu type operators including Boas-Buck type polynomials
Kantorovich-Stancu type operators including Boas-Buck type polynomials
Authors : Bayram Çekim, Rabia Aktaş, Gürhan Içöz
Pages : 460-471
View : 14 | Download : 8
Publication Date : 2019-04-01
Article Type : Research
Abstract :The aim of the paper is to introduce a Kantorovich-Stancu type modification of a generalization of Szász operators defined via Boas-Buck type polynomials and to obtain rates of convergence for these operators. Furthermore, we give the figures for comparing approximation properties of the operators $\mathcal{K}_{n}^{(\alpha,\beta)}$ and $\mathcal{B}_{n}.$Keywords : Szász operator, modulus of continuity, rate of convergence, Boas-Buck type polynomials, Gould-Hopper polynomials, Charlier polynomials