Approximation of Mellin convolution-type nonlinear integral operators in variable bounded variation spaces
Abstract
In this paper, we investigate approximation properties using a family of Mellin convolution-type integral operators within the framework of variable bounded variation spaces with the help of summability methods. In this approximation, we use Bell-type summability methods. We also investigate the impact of regular summability methods on the approximation properties of these operators. Moreover, we examine the rate of approximation for certain functions belonging to a suitable Lipschitz class.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Mathematical Inequalities and Applications
Advanced Harmonic Analysis Research
Publication details
- Journal / source
- Journal of Inequalities and Applications
- Volume
- 2026
- Issue
- 1
- Publication date
- 11 February 2026
- Language
- EN