Extensions and Improvements of Jensen's and Majorization Type Inequalities for p-harmonic Convex Functions

Authors

Faiza Azhar Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan https://orcid.org/0009-0002-0025-6973
Muhammad Imran Asjad Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan https://orcid.org/0000-0002-1484-5114
Majeed Ahmad Yousif Department of Mathematics, College of Education, University of Zakho, Duhok, 42001, Iraq https://orcid.org/0000-0002-0206-3828
Imran Abbas Baloch Department of Mathematics, Abdus Salam School of Mathematical Sciences, Government College University, Lahore, 54600, Pakistan https://orcid.org/0000-0001-8941-2527
Dumitru Baleanu Department of Computer Science and Mathematics, Lebanese American University, Beirut, 11022801, Lebanon https://orcid.org/0000-0002-0286-7244
Pshtiwan Othman Mohammed Department of Mathematics, College of Education, University of Sulaimani, Sulaymaniyah, 46001, Iraq https://orcid.org/0000-0001-6837-8075

DOI:

https://doi.org/10.37256/cm.7220268821

Keywords:

convex functions, harmonic convex functions, p-harmonic convex functions, Jensen's inequality, majorization inequality

Abstract

In this paper some integral inequalities of Jensen's type for generalised non-convex functions defined on real-line intervals and some results on Majorization type inequalities are established. We introduce a novel category of harmonic convex functions, referred to as p-harmonic convex functions. Additionally, new findings are also presented, with generalizations of previously established results. Further validation of the obtained solutions with the existing literature is also discussed.

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Published

2026-03-09

How to Cite

Azhar F, Asjad MI, Yousif MA, Baloch IA, Baleanu D, Mohammed PO. Extensions and Improvements of Jensen’s and Majorization Type Inequalities for <i>p</i>-harmonic Convex Functions. Contemp. Math. [Internet]. 2026 Mar. 9 [cited 2026 Apr. 1];7(2):1915-44. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/8821

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Issue

Contemporary Mathematics, Volume 7 Issue 2 (2026)

Section

Research Article

License

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