- Turkish Journal of Mathematics
- Vol: 42 Issue: 4
- Quantitative Voronovskaya- and Grüss-Voronovskaya-type theorems by the blending variant of Szász ope...
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
View : 7 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
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