Quantitative Voronovskaya- and Grüss-Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials

Authors : Purshottam Narain AGRAWAL, Behar BAXHAKU, Ruchi CHAUHAN

Pages : 1610-1629

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :The present paper aims to investigate a class of linear positive operators by combining Szász-Jain operators and Brenke polynomials and studies their approximation properties. We also prove quantitative Voronovskaya-type results and establish Grüss-Voronovskaja-type theorem. Furthermore, we show the rate of convergence for Szász-Jain-Brenke operators to functions having derivative of bounded variation and not having derivative of bounded variation by illustrative graphics using MATLAB.
Keywords : Brenke polynomials, Szász operators, Voronovskaya type, Grüss Voronovskaya, bounded variation