Yet another Kantorovich variant of Lupaş-Jain operators
Abstract
This paper proposes a novel Kantorovich-type extension of the Lupaş-Jain operators, aiming to enhance their approximation capabilities. The investigation begins by establishing weighted uniform approximation properties for the newly defined operators. Following this, a rigorous quantitative estimate is derived. Then, we examine the order of approximation by employing a modulus of continuity, the Lipschitz class and the Lipschitz-type maximal function. To conclude, numerical examples are presented to substantiate the theoretical findings.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Fixed Point Theorems Analysis
Mathematical Inequalities and Applications
Publication details
- Journal / source
- GAZI UNIVERSITY JOURNAL OF SCIENCE
- Publisher
- Gazi University Journal of Science
- Volume
- 39
- Issue
- 3
- Pages
- 1692–1703
- Publication date
- 20 August 2026
- Language
- EN