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.
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