On the Fractional Inequalities of the Milne Type

ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived. The acquired inequalities are supported by illustrative examples, which are calculated via their proofs. Additionally, graphical representations are to verify the examples visually. Furthermore, this investigation unveils fresh findings within the realm of inequalities.

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Publication Details

Journal
Mathematical Methods in the Applied Sciences
Published
2025-03-22
DOI
https://doi.org/10.1002/mma.10923
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Fractional Inequalities of the Milne Type

Hasan Öğünmez, Hasan Kara, Hüseyin Budak
Mathematical Methods in the Applied Sciences
Mathematical Inequalities and Applications
article

On the Fractional Inequalities of the Milne Type

Hasan Öğünmez, Hasan Kara, Hüseyin Budak
article en

Abstract

ABSTRACT Our investigations in this paper revolve around exploring fractional variants of inequalities of Milne type by applying twice differentiable convex mappings. Based on some principles of convexity, Hölder inequality, and power‐mean inequality, novel inequalities are derived. The acquired inequalities are supported by illustrative examples, which are calculated via their proofs. Additionally, graphical representations are to verify the examples visually. Furthermore, this investigation unveils fresh findings within the realm of inequalities.

Mathematical Methods in the Applied SciencesVol. 48(11)
Afyon Kocatepe University (TR), Düzce Üniversitesi (TR)
Openalex Percentile: Top 92%
Mathematical Inequalities and Applications
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On the Fractional Inequalities of the Milne Type — Hasan Öğünmez, Hasan Kara, et al. · Mathematical Methods in the Applied Sciences (2025) | TGRS Research Map | TGRS