Generalized Fractional Hermite Hadamard Type Inequalities for (s, m)-Convex Functions in the 1st and 2nd Kinds

Muhammad Bilal; Asif R. Khan

논문KCI 등재

Generalized Fractional Hermite Hadamard Type Inequalities for (s, m)-Convex Functions in the 1st and 2nd Kinds

Muhammad Bilal|Asif R. Khan

한국수학교육학회|2025.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제32권 제4호|pp. 289-312

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키워드

Fractional Hermite Hadamard type inequalities (s m)−convex function of 1st kind m)−convex function of 2nd kind

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초록

Hermite-Hadamard type inequalities are among the most well-known integral inequalities in mathematics. In this article, we have established several results concerning fractional Hermite-Hadamard type inequalities for twice differentiable (s,m)-convex functions of both the 1st and 2nd kinds. These findings offer a broader generalization compared to the results presented in [9].

Abstract

Hermite-Hadamard type inequalities are among the most well-known integral inequalities in mathematics. In this article, we have established several results concerning fractional Hermite-Hadamard type inequalities for twice differentiable (s,m)-convex functions of both the 1st and 2nd kinds. These findings offer a broader generalization compared to the results presented in [9].

관련 논문AI추천

Fractional versions of Hadamard inequalities for strongly $(s,m)$-convex functions via Caputo fractional derivativesGhulam Farid, Lakshmi Narayan Mishra, Laxmi Rathour, Sidra Bibi, Vishnu Narayan Mishra강원경기수학회 · 한국수학논문집2023 · 제31권 제1호 $k-$fractional integral inequalities for $(h-m)-$convex functions via Caputo $k-$fractional derivativesAtiq Ur Rehman, Ghulam Farid, Lakshmi Narayan Mishra, Qurat Ul Ain강원경기수학회 · 한국수학논문집2019 · 제27권 제2호 On some new fractional Hermite-Hadamard type inequalities for convex and co-ordinated convex functionsHuseyin Budak, Muhammad Aamir Ali, Sadia Sakhi강원경기수학회 · 한국수학논문집2020 · 제28권 제4호 Riemann-Liouville fractional versions of Hadamard inequality for strongly $(\alpha,m)$-convex functionsGhulam Farid, Lakshmi Narayan Mishra, Laxmi Rathour, Saira Bano Akbar강원경기수학회 · 한국수학논문집2021 · 제29권 제4호 Fractional integral inequalities of Hermite-Hadamard type for m-HH convex functions with applicationsHui Zhou, Imdat Iscan, Wen Wang장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제3호 FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR n-TIMES r-CONVEX FUNCTIONSBADREDDINE MEFTAH, MERIEM MERAD, NAWEL OUANAS장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제2호

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