New developments in fractional Hermite-Hadamard type inequalities through $(\alpha,m)$-convex functions

This work aims to establish new fractional integral inequalities of the Hermite-Hadamard type. These results are explored by combining the Riemann-Liouville fractional integrals in a new identity and then applying extended class of convex functions. The limiting cases of the novel results are presented in terms of remarks that connect our findings to the body of existing literature. Furthermore, we present inequalities in the form of some special means as applications of the main results.

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Publication Details

Journal
Hacettepe Journal of Mathematics and Statistics
Published
2025-04-11
DOI
https://doi.org/10.15672/hujms.1554049
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

New developments in fractional Hermite-Hadamard type inequalities through $(\alpha,m)$-convex functions

Muhammad Samraiz, Muzammil Mukhtar, Ayesha Firdous
Hacettepe Journal of Mathematics and Statistics
Mathematical Inequalities and Applications
article

New developments in fractional Hermite-Hadamard type inequalities through $(\alpha,m)$-convex functions

Muhammad Samraiz, Muzammil Mukhtar, Ayesha Firdous
article en

Abstract

This work aims to establish new fractional integral inequalities of the Hermite-Hadamard type. These results are explored by combining the Riemann-Liouville fractional integrals in a new identity and then applying extended class of convex functions. The limiting cases of the novel results are presented in terms of remarks that connect our findings to the body of existing literature. Furthermore, we present inequalities in the form of some special means as applications of the main results.

Hacettepe Journal of Mathematics and StatisticsVol. 54(5)
University of Sargodha (PK), Islamia University of Bahawalpur (PK)
Openalex Percentile: Top 90%
Mathematical Inequalities and Applications
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