Article 2025 · 1 citations

Advancements in Integral Inequalities Through Hattaf Fractional Operators

Rahman, Gauhar, Mlaiki, Nabil, Aloqaily, Ahmad, Samraiz, Muhammad, Yildiz, Cetin

Abstract

In studies of inequality theory, integral identities are developed to support numerous inequalities. Various fractional integral and derivative operators have been employed recently to accomplish these identities. In this article, we first establish an integral identity by employing Hattaf fractional integral operators. Then, we use this identity to give some novel generalizations of integral inequalities for the convexity of |aleph| using the Jensen integral inequality, Young's inequality, power-mean inequality, and H & ouml;lder inequality. The main motivating goal of this study is to use Hattaf-fractional integral operators with strong kernel structure to derive new and general form of integral inequalities.

Keywords

young inequality convex function power-mean inequality fractional operators

WoS Categories

Mathematics, Applied Mathematics

Citation

Journal: CONTEMPORARY MATHEMATICS
Year: 2025
Volume: 6
Issue: 1
Pages: 1110-1126
ISSN: 2705-1064
eISSN: 2705-1056
DOI: 10.37256/cm.6120256060
WoS UID: WOS:001560533300010

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