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

DOI

10.3906/mat-1708-1

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

First Page

1610

Last Page

1629

Recommended Citation

AGRAWAL, PURSHOTTAM NARAIN; BAXHAKU, BEHAR; and CHAUHAN, RUCHI (2018) "Quantitative Voronovskaya- and Grüss-Voronovskaya-type theorems by the blending variant of Szász operators including Brenke-type polynomials," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 6. https://doi.org/10.3906/mat-1708-1
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/6