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A Systematic Review on Hermite-Hadamard Inequality: Theory and\n Applications

2021/10/21 by Ohud Almutairi, Adem Kılıçman, Almutairi, Ohud +1
Mathematics · #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Mathematical functions and polynomials #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2111.10731

openalex publication_date 2021/10/21 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Inequalities play important roles not only in mathematics, but also in other\nfields, such as economics and engineering. Even though many results are\npublished on Hermite-Hadamard (H-H) type inequalities, new researcher to this\nfields often found it difficult to understand them. Thus, some important\ndiscoverers, such as the formulations of H-H type inequalities via various\nclasses of convexity, through differentiable mappings and for fractional\nintegrals, are presented. Some well-known examples from previous literature are\nused as illustrations.\n

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