On Some New Milne-type Inequalities for Strongly Convex Functions

Pradyumn Singh; Shashi Kant Mishra; Pankaj Kumar; Abdelouahed  Hamdi

doi:10.37256/cm.6320256831

On Some New Milne-type Inequalities for Strongly Convex Functions

Authors

Pradyumn Singh Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India
Shashi Kant Mishra Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India
Pankaj Kumar Department of Mathematics, Institute of Science, Banaras Hindu University, Varanasi, 221005, India
Abdelouahed Hamdi Department of Mathematics and Statistics, College of Art and Science, CAS, Qatar University, Doha, P.O. Box, 2713, Qatar https://orcid.org/0000-0003-1950-8907

DOI:

https://doi.org/10.37256/cm.6320256831

Keywords:

milne-type inequalities, strongly convex function, riemann-liouville fractional integrals, Hölder’s inequality

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.

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Published

2025-05-23

How to Cite

Pradyumn Singh, Shashi Kant Mishra, Pankaj Kumar, Hamdi A. On Some New Milne-type Inequalities for Strongly Convex Functions. Contemp. Math. [Internet]. 2025 May 23 [cited 2026 Jun. 4];6(3):3253-68. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/6831

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Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.