Original scientific paper

Approximation of functions by bivariate q-Stancu-Durrmeyer type operators

Trapti Neer ; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Ana Maria Acu ; Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, Str. Dr. I. Ratiu, Sibiu, Romania
Purshottam Agrawal ; Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India

Abstract

This paper is in continuation of our work in [24], wherein we studied someapproximation properties of the Stancu-Durrmeyer operators based on q-integers. Here,we construct a bivariate generalization of these operators and study the rate of convergenceby means of the complete modulus of continuity and the partial moduli of continuity andthe degree of approximation with the aid of the Peetre's K functional. Subsequently, wedene the GBS(Generalized Boolean Sum) operators of Stancu- Durrmeyer type and givethe rate of approximation by means of the mixed modulus of smoothness and the Lipschitzclass of Bogel-continuous functions.

Keywords

Complete modulus of continuity; partial moduli of continuity; B-continuous functions and B-differentiable functions

Hrčak ID:

198606

URI

https://hrcak.srce.hr/198606

Publication date:

7.11.2018.

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