On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators

Authors : Dan BĂRBOSU

Pages : 73-87

Doi:10.33205/cma.442151

View : 39 | Download : 7

Publication Date : 2018-11-07

Article Type : Research Paper

Abstract :The paper is a survey concerning representations for the remainder term of Bernstein-Schurer-Stancu and respectively Stancu insert ignore into journalissuearticles values(based on factorial powers); bivariate approximation formulas, using bivariate divided differences. As particular cases the remainder terms of bivariate Bernstein-Stancu, Schurer and classical Bernstein bivariate approximation formulas are obtained. Finally, one presents some mean value properties, similar to those of the remainder term of classical Bernstein univariate approximation formula.
Keywords : Bernstein Schurer Stancu bivariate operator, Stancu bivariate operator, Bivariate divided difference, Bivariate approximation formula, Remainder term

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