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

Yıl 2023, Cilt: 41 Sayı: 2, 415 - 422, 30.04.2023

Lütfi Akın , Yusuf Zeren

Öz

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.

Anahtar Kelimeler

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

Kaynakça

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