Approximation properties of modified Jain-Gamma operators

S. Erdogan; A. Olgun

doi:10.15330/cmp.13.3.651-665

Approximation properties of modified Jain-Gamma operators

Authors

S. Erdogan Kirikkale University, 71450, Yahsihan, Kirikkale, Turkey
A. Olgun Kirikkale University, 71450, Yahsihan, Kirikkale, Turkey

https://doi.org/10.15330/cmp.13.3.651-665

Keywords:

Jain operator, Gamma operator, weighted space, modulus of continuity, Peetre $K$-function, Voronovskaya theorem

Published online: 2021-12-07

Abstract

In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, we first give approximation properties of such operator. Secondly, we compute the rate of convergence of this operator by means of the modulus of continuity and we present approximation properties of weighted spaces. Finally, we obtain the Voronovskaya type theorem of this operator.