Approximation by family of max-min sampling operators in function spaces

Kruti Vayeda

Session: General

Keywords: Approximation of functions; Max-min operators; Orlicz space; Modulus of Continuity.

TL;DR: We study approximation of functions using generalized max-min operators and Kantorovich type max-min sampling operators in function spaces.

Abstract: The approximation of functions using sampling-based operators has emerged as a prominent research area within approximation theory, with potential applications in signal analysis and image reconstruction. This note aims to introduce study the approximation capabilities of a novel family of sampling operators, namely generalized max-min sampling operators and Kantorovich type max-min sampling operators. This study has been carried out in the space of continuous functions, classical Lebesgue spaces and Orlicz spaces. Following the theoretical groundwork, we illustrate the practical performance of our operators through numerical examples, graphical representations.

Submission Number: 90