Article 2025 · 0 citations

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

Rahman, Gauhar, Samraiz, Muhammad, Yildiz, Cetin, Alghafli, Maryam Ali, Mlaiki, Nabil

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 Ho<spacing diaeresis>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.

Keywords

Young inequality convex function power mean inequality fractional operators

WoS Categories

Mathematics

Citation

Journal: EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Year: 2025
Volume: 18
Issue: 2
ISSN: 1307-5543
DOI: 10.29020/nybg.ejpam.v18i2.5816
WoS UID: WOS:001487032000010

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