Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals

Usama Hanif, Ammara Nosheen, Rabia Bibi, Khuram Ali Khan and Hamid Reza Moradi

Mathematical Problems in Engineering, 2021, vol. 2021, 1-14

Abstract:

In this paper, Jensen and Hardy inequalities, including Pólya–Knopp type inequalities for superquadratic functions, are extended using Riemann–Liouville delta fractional integrals. Furthermore, some inequalities are proved by using special kernels. Particular cases of obtained inequalities give us the results on time scales calculus, fractional calculus, discrete fractional calculus, and quantum fractional calculus.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9939468

DOI: 10.1155/2021/9939468

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