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Academic Journal
On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities
Abdelkader Moumen, Rabah Debbar, Badreddine Meftah, Khaled Zennir, Hicham Saber, Tariq Alraqad, Etaf Alshawarbeh
Fractal and Fractional, Vol 9, Iss 2, p 129 (2025)
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| Title | On a Certain Class of GA-Convex Functions and Their Milne-Type Hadamard Fractional-Integral Inequalities |
|---|---|
| Authors | Abdelkader Moumen, Rabah Debbar, Badreddine Meftah, Khaled Zennir, Hicham Saber, Tariq Alraqad, Etaf Alshawarbeh |
| Publication Year |
2025
|
| Source |
Fractal and Fractional, Vol 9, Iss 2, p 129 (2025)
|
| Description |
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.
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| Document Type |
article
|
| Language |
English
|
| Publisher Information |
MDPI AG, 2025.
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| Subject Terms | |
