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

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: 439

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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Published

2017-09-21

How to Cite

Serenbay, S. K., & Dalmanoğlu, Özge. (2017). Approximation theorems for Kantorovich type Lupaș-Stancu operators based on \(q\)-integers. J. Numer. Anal. Approx. Theory, 46(1), 78–92. https://doi.org/10.33993/jnaat461-1108

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