On innovations of the multivariable fractional Hardy-type inequalities on time scales

Year 2023, Volume: 41 Issue: 2, 415 - 422, 30.04.2023

Lütfi Akın Yusuf Zeren

Abstract

Fractional integral-type inequalities, dynamic equations, integral operators and variable expo-nents have an important place in time scales theory and harmonic analysis. Our main goal in this study is to obtain the multivariable fractional Hardy-type integral inequality using a new version of Jensen’s inequality for super-quadratic and sub-quadratic functions on time scales with variable exponents.

Keywords

Time Scales, Jensen’s Inequality, Fractional Hardy-Type Inequalities

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