On Some New Milne-type Inequalities for Strongly Convex Functions

In this paper, we explore new Milne-type fractional integral inequalities, focusing on functions that are strongly convex and differentiable. We use tools like the Hölder inequality and the power-mean inequality to derive these results. Our findings offer a notable improvement over earlier work in this area, providing more advanced and refined mathematical insights.

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Publication Details

Journal
Contemporary Mathematics
Published
2025-05-23
DOI
https://doi.org/10.37256/cm.6320256831
Primary Topic
Mathematical Inequalities and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

On Some New Milne-type Inequalities for Strongly Convex Functions

Pradyumn Singh, Abdelouahed Hamdi, Shashi Kant Mishra, Pankaj Kumar
Contemporary Mathematics
Mathematical Inequalities and Applications
article

On Some New Milne-type Inequalities for Strongly Convex Functions

Pradyumn Singh, Abdelouahed Hamdi, Shashi Kant Mishra, Pankaj Kumar
article en

Abstract

In this paper, we explore new Milne-type fractional integral inequalities, focusing on functions that are strongly convex and differentiable. We use tools like the Hölder inequality and the power-mean inequality to derive these results. Our findings offer a notable improvement over earlier work in this area, providing more advanced and refined mathematical insights.

Contemporary Mathematics
Qatar University (QA), Banaras Hindu University (IN)
Openalex Percentile: Top 84%
Mathematical Inequalities and Applications
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