Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications

The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, som...

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Bibliographic Details
Published inMathematical problems in engineering Vol. 2022; pp. 1 - 27
Main Authors Awan, Muhammad Uzair, Akhtar, Nousheen, Raïssouli, Mustapha, Kashuri, Artion, Javed, Muhammad Zakria, Noor, Muhammad Aslam
Format Journal Article
LanguageEnglish
Published New York Hindawi 22.06.2022
John Wiley & Sons, Inc
Subjects
Calculus
Convex analysis
Fractional calculus
Harmonic functions
Inequalities
Integrals
Interdisciplinary subjects
Mathematical problems
Quadratures
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Summary:The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, some applications regarding error estimations for the Simpson quadrature formula are presented to support our theoretical results.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/4173915