Bibliographic Details
| Title: |
Yet Another Kantorovich Variant of Lupaş-Jain Operators. |
| Authors: |
BODUR, Murat1 mbodur@ktun.edu.tr |
| Source: |
Gazi University Journal of Science. Sep2026, Vol. 39 Issue 3, p1692-1703. 12p. |
| Subjects: |
Approximation theory, Lipschitz spaces, Approximation error |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |