Generalizations of Modified Gamma Operators via Bivariate and GBS Approaches
Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2026, v.33 no.1, pp.89-98
https://doi.org/10.7468/jksmeb.2026.33.1.89
Gopi Prasad (Government Degree College Rudraprayag)
Sheetal Deshwal (Dr. Shivanand Nautiyal Goverment Post Graduate College)
Souvik Kundu (Heritage Institute of Technology)
Gopi,
P.
, Sheetal,
D.
, &
Souvik,
K.
(2026). Generalizations of Modified Gamma Operators via Bivariate and GBS Approaches, 33(1), 89-98, https://doi.org/10.7468/jksmeb.2026.33.1.89
Abstract
The present study aims to investigate the bivariate case as well as the GBS generalization of modification of Gamma operators studied by Usta and Betus [24]. This article considers the definition of the bivariate case of modified Gamma operators discussed by Usta and Betus. After which GBS defined and their approximation properties are discussed on B¨ogel spaces. In addition to that, some graphical examples are presented to verify our theoretical results using Matlab.
Using a graphical representation, we conclude by comparing the bivariate example and the GBS generalization of these operators.
- keywords
-
Gamma operators,
GBS type operators,
Degree of convergence.