ON SOME INEQUALITIES FOR EXPONENTIALLY WEIGHTED FRACTIONAL HARDY OPERATORS WITH ∆-INTEGRAL CALCULUS

Year 2024, Volume: 10 Issue: 1, 1 - 13, 30.06.2024

Lütfi Akın

https://doi.org/10.51477/mejs.1451041

Abstract

Dynamic equations, inequalities, and operators are the indispensable cornerstones of harmonic analysis and time-scale calculus. Undoubtedly, one of the most important of these operators and inequalities is the Hardy operator and inequality. Because especially when we say variable exponent Lebesgue space, the first thing that comes to our mind is the Hardy operator. We know that the topics in question have many applications in different scientific fields. In this paper, some inequalities will be proved for variable exponentially weighted Hardy operators with ∆-integral calculus.

Keywords

Hardy inequality, Variable exponent, Weight function, Time scale

Ethical Statement

The authors declare that this document does not require ethics committee approval or any special permission.

Thanks

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