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 (unauthenticated)

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.

References

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Published

2025-05-23

Issue

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

Section

Research Article

License

Copyright (c) 2025 Pradyumn Singh, Shashi Kant Mishra, Pankaj Kumar, Abdelouahed Hamdi

Creative Commons License

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

How to Cite

1.
On Some New Milne-type Inequalities for Strongly Convex Functions. Contemp. Math. [Internet]. 2025 May 23 [cited 2025 Dec. 24];6(3):3253-68. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/6831