Approximation results in Orlicz spaces by modified sampling Kantorovich operators
Abstract
Abstract This paper deals with the modified sampling Kantorovich operators. We start by presenting the primary notations of Orlicz spaces and fundamental auxiliary results. To show modular convergence of the corresponding operators in Orlicz spaces, we obtain well definiteness in Orlicz spaces and norm convergence in the space of continuous functions with compact support. In the last section, we present some examples of ρ -kernels which satisfy the corresponding assumptions and present some graphical representations.
Fields of Study & Subjects
Approximation Theory and Sequence Spaces
Fixed Point Theorems Analysis
Advanced Banach Space Theory
Publication details
- Journal / source
- Demonstratio Mathematica
- Publisher
- Walter de Gruyter GmbH
- Volume
- 59
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN