On Opial-Type Inequalities for Superquadratic Functions and Applications in Fractional Calculus-Reference-Cited by-同舟云学术

On Opial-Type Inequalities for Superquadratic Functions and Applications in Fractional Calculus

Published:2021-06-29 Issue: Volume:2021 Page:1-11
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Nazeer Waqas¹,Farid Ghulam²,Salleh Zabidin³^ORCID,Bibi Ayesha²

Affiliation:

1. Department of Mathematics, GC University, Lahore, Pakistan

2. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock, Pakistan

3. Department of Mathematics, Faculty of Ocean Engineering Technology and Informatics, Universiti Malaysia Terengganu, Kuala Nerus 21030, Terengganu, Malaysia

Abstract

We have studied the Opial-type inequalities for superquadratic functions proved for arbitrary kernels. These are estimated by applying mean value theorems. Furthermore, by analyzing specific functions, the fractional integral and fractional derivative inequalities are obtained.

Funder

Universiti Malaysia Terengganu

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2021/6379883.pdf

Reference25 articles.

1. Sur une inégalité;Z. Opial;Annales Polonici Mathematici,1960

2. Opial Inequalities with Applications in Differential and Difference Equations

3. Opial type inequalities involving fractional derivatives of functions;G. A. Anastassiou;Nonlinear Studies,1999

4. New aspects of Opial-type integral inequalities

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