Kantorovich-Stancu type operators including Boas-Buck type polynomials

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

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