On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities

In this article, we prove a new Milne-type inequality involving Hadamard fractional integrals for functions with GA-convex first derivatives. The limits of the error estimates involve incomplete gamma and confluent hypergeometric functions. The results of this study open the door to further investig...

Full description

Saved in:
Bibliographic Details
Published inFractal and fractional Vol. 9; no. 2; p. 129
Main Authors Moumen, Abdelkader, Debbar, Rabah, Meftah, Badreddine, Zennir, Khaled, Saber, Hicham, Alraqad, Tariq, Alshawarbeh, Etaf
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.02.2025
Subjects
Approximation
Convex analysis
Convexity
Fractals
Fractional calculus
GA-convex functions
Hadamard fractional integrals
Hypergeometric functions
incomplete confluent hypergeometric function
incomplete gamma function
Inequality
Milne-type integral inequalities
Online AccessGet full text

Cover

More Information
Summary:In this article, we prove a new Milne-type inequality involving Hadamard fractional integrals for functions with GA-convex first derivatives. The limits of the error estimates involve incomplete gamma and confluent hypergeometric functions. The results of this study open the door to further investigation of this subject, as well as extensions to other forms of generalized convexity, weighted formulas, and higher dimensions.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract9020129