바로가기메뉴

본문 바로가기 주메뉴 바로가기
 

logo

  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

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)

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.

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics