Advancements in Hermite–Hadamard inequalities via conformable fractional integrals for subadditive functions

This study advances Hermite–Hadamard inequalities for subadditive functions using conformable fractional integrals. It establishes and explores numerous versions of these inequalities, as well as fractional integral inequalities for the product of two subadditive functions via conformable fractional integrals. The findings indicate that these inequalities improve and extend prior results for convex and subadditive functions, significantly enhancing the theoretical framework of fractional calculus and inequality theory. Moreover, computational analysis is conducted on these inequalities for subadditive functions, and mathematical examples are given to validate the newly established results within the framework of conformable fractional calculus.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-01-09
DOI
https://doi.org/10.1142/s0219887825500999
Citations
1
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
3.73
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article

Advancements in Hermite–Hadamard inequalities via conformable fractional integrals for subadditive functions

Hüseyin Budak, Fatih Hezenci, Wali Haider, Asia Shehzadi et al.
1 citations
International Journal of Geometric Methods in Modern Physics
Mathematical Inequalities and Applications
3.73
article

Advancements in Hermite–Hadamard inequalities via conformable fractional integrals for subadditive functions

Hüseyin Budak, Fatih Hezenci, Wali Haider, Asia Shehzadi, Haibo Chen
article en
1 citations

Abstract

This study advances Hermite–Hadamard inequalities for subadditive functions using conformable fractional integrals. It establishes and explores numerous versions of these inequalities, as well as fractional integral inequalities for the product of two subadditive functions via conformable fractional integrals. The findings indicate that these inequalities improve and extend prior results for convex and subadditive functions, significantly enhancing the theoretical framework of fractional calculus and inequality theory. Moreover, computational analysis is conducted on these inequalities for subadditive functions, and mathematical examples are given to validate the newly established results within the framework of conformable fractional calculus.

International Journal of Geometric Methods in Modern PhysicsVol. 22(12)
Central South University (CN), Kocaeli Üniversitesi (TR), Düzce Üniversitesi (TR), Saveetha University (IN)
Reduced inequalities
Openalex Percentile: Top 14%
Mathematical Inequalities and Applications
3.73
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Advancements in Hermite–Hadamard inequalities via conformable fractional integrals for subadditive functions — Hüseyin Budak, Fatih Hezenci, et al. · International Journal of Geometric Methods in Modern Physics (2025) | TGRS Research Map | TGRS