Some Hardy-Type Inequalities for Superquadratic Functions via Delta Fractional Integrals-Reference-Cited by-同舟云学术

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

Published:2021-05-28 Issue: Volume:2021 Page:1-14
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Hanif Usama¹^ORCID,Nosheen Ammara¹^ORCID,Bibi Rabia²^ORCID,Khan Khuram Ali³^ORCID,Moradi Hamid Reza³^ORCID

Affiliation:

1. Department of Mathematics and Statistics, The University of Lahore, Sargodha Sub-Campus, Sargodha, Pakistan

2. Department of Mathematics, Abbottabad University of Science and Technology, Havelian, Abbottabad, Pakistan

3. Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan

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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/9939468.pdf

Reference33 articles.

1. On the Eigenvalues of Operators with Gaps. Application to Dirac Operators

2. The role of the Hardy type inequalities in the theory of function spaces;P. Mironescu;Revue roumaine de mathématiques pures et appliquées,2018

3. Inequalities based on convex functions;E. K. Godunova;Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika,1965

4. Hardy-type inequalities via convexity

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