On new versions of Milne-type inequalities based on tempered fractional integrals

This investigation reveals significant identity related to the Milne-type inequalities. Utilizing this identity, we derive Milne-type inequalities by incorporating differentiable convex mappings, including tempered fractional integrals. Our strategy involves delving into notable functional categories such as convex, bounded, Lipschitzian, and functions with bounded variation. What’s more, new findings are achieved through special choices.

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Publication Details

Journal
International Journal of Geometric Methods in Modern Physics
Published
2025-02-28
DOI
https://doi.org/10.1142/s0219887825501506
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
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article

On new versions of Milne-type inequalities based on tempered fractional integrals

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

On new versions of Milne-type inequalities based on tempered fractional integrals

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

Abstract

This investigation reveals significant identity related to the Milne-type inequalities. Utilizing this identity, we derive Milne-type inequalities by incorporating differentiable convex mappings, including tempered fractional integrals. Our strategy involves delving into notable functional categories such as convex, bounded, Lipschitzian, and functions with bounded variation. What’s more, new findings are achieved through special choices.

International Journal of Geometric Methods in Modern PhysicsVol. 23(02)
Central South University (CN), Kocaeli Üniversitesi (TR), Düzce Üniversitesi (TR)
Reduced inequalities
Openalex Percentile: Top 94%
Mathematical Inequalities and Applications
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On new versions of Milne-type inequalities based on tempered fractional integrals — Hüseyin Budak, Fatih Hezenci, et al. · International Journal of Geometric Methods in Modern Physics (2025) | TGRS Research Map | TGRS