Kantorovich-Stancu type operators including Boas-Buck type polynomials

Authors : Bayram Çekim, Rabia Aktaş, Gürhan Içöz

Pages : 460-471

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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