Turkish Journal of Mathematics
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
