Compact Sets in Bide - Side Grand Lebesgue Spaces, with Applications

TL;DR

This paper establishes sufficient conditions for compactness in Bilateral Grand Lebesgue Spaces and explores applications in numerical methods and basis problems, advancing the understanding of these functional spaces.

Contribution

It provides new criteria for compactness in Bilateral Grand Lebesgue Spaces and demonstrates their applications in numerical analysis and basis theory.

Findings

Derived sufficient conditions for compactness in Bilateral Grand Lebesgue Spaces.

Applied these conditions to numerical methods.

Addressed the basis problem using the developed theory.

Abstract

In this article we find some sufficient conditions for the set in the Bilateral Grand Lebesgue Space to be compact set. We consider applications into numerical methods and in the basis problem.