Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen's and Young's Inequalities

Authors

  • Gauhar Rahman Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan
  • Muhammad Samraiz Department of Mathematics, University of Sargodha P.O. Box 40100, Sargodha, Pakistan
  • Çetin Yıldız Deparment of Mathematics, K.K. Education Faculty, Atat¨urk University, 25240 Erzurum, Turkey
  • Maryam Ali Alghafli Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Nabil Mlaiki Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5816

Keywords:

Young inequality, convex function, power mean inequality, fractional operators

Abstract

Fractional integral operators and convexity have a close link due to their fascinating properties in the mathematical sciences.
In this paper,  we first establish an integral identity  involving the generalized Hattaf-fractional integral operators. By using the Jensen integral inequality, Young's inequality, power-mean inequality, and H\"{o}lder inequality, we then apply this identity to provide some new generalizations of Ostrowski type inequality for the convexity of $|\aleph|$. Furthermore, we deduce several special cases from the main results.  The results of this novel investigation should lead to new discoveries in the area of fractional calculus and inequalities.

Author Biography

  • Gauhar Rahman, Department of Mathematics and Statistics, Hazara University, Mansehra 21300, Pakistan

    Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Analysis

License

Copyright (c) 2025 Gauhar Rahman, Muhammad Samraiz, Çetin Yıldız, Maryam Ali Alghafli, Nabil Mlaiki

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How to Cite

Advancements in Ostrowski type fractional Integral Inequalities via Applications of Jensen’s and Young’s Inequalities. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5816. https://doi.org/10.29020/nybg.ejpam.v18i2.5816