Approximation theorems for Kantorovich type Lupaș-Stancu operators based on \(q\)-integers

Sevilay Kirci Serenbay; Özge Dalmanoğlu

doi:10.33993/jnaat461-1108

Authors

Sevilay Kirci Serenbay Baskent University, Department of Mathematics Education, Turkey
Özge Dalmanoğlu Baskent University, Department of Mathematics Education, Turkey

DOI:

https://doi.org/10.33993/jnaat461-1108

Keywords:

Lupas-Kantorovich operators, modulus of continuity, Peetre's K-functional, q-integers, rate of convergence, statistical approximation

Abstract views: 404

Abstract

In this paper, we introduce a Kantorovich generalization of q-Stancu-Lupa¸s operators and investigate their approximation properties. The rate of convergence of these operators are obtained by means of modulus of continuity, functions of Lipschitz class and Peetre's K-functional. We also investigate the convergence of the operators in the statistical sense and give a numerical example in order to estimate the error in the approximation.

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References

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