New Variant of Hermite-Hadamard-Type Inequality with Applications to Matrix and Bivariate Analysis

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DOI: https://doi.org/10.28924/2291-8639-24-2026-220
Published: Jul 17, 2026
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Hijaz Ahmad, Saima Bhatti, Ali Asghar, Muhammad Tariq, Waqar Afzal, Evren Hincal, Mustafa Bayram, Ilyas Khan, Waleed Mohammed Abdelfattah, New Variant of Hermite-Hadamard-Type Inequality with Applications to Matrix and Bivariate Analysis, Int. J. Anal. Appl., 24 (2026), 220.

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Hijaz Ahmad, Saima Bhatti, Ali Asghar, Muhammad Tariq, Waqar Afzal, Evren Hincal, Mustafa Bayram, Ilyas Khan, Waleed Mohammed Abdelfattah

Abstract

Convex analysis and mathematical inequalities are now essential to the development of numerous pure and applied scientific domains. In this article, first we introduce the concept of \(n\)-fractional polynomial \(\mathtt{s}\)-like \(\mathtt{m}\)-preinvex function. In addition, we introduce, the new variant of Hermite-Hadamard type inequality via newly introduced concept pertaining to the \(k\)-fractional operator. Furthermore, we demonstrate the applications to matrix and bivariat analysis via newly introduce Hermite-Hadamard type inequality. The study's conclusions present unique perspectives and contributions to the field, offering fresh and noteworthy improvements over previous research.

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