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  • P-ISSN3059-0604
  • E-ISSN3059-1309
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ISSN : 3059-0604

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Vol.32 No.4

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

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2025, v.32 no.4, pp.289-312
https://doi.org/10.7468/jksmeb.2025.32.4.289
Muhammad Bilal (University of Karachi)
Asif R. Khan (University of Karachi)
Muhammad, B. , & Asif, R. K. (2025). Generalized Fractional Hermite Hadamard Type Inequalities for (s, m)-Convex Functions in the 1st and 2nd Kinds, 32(4), 289-312, https://doi.org/10.7468/jksmeb.2025.32.4.289

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].

keywords
Fractional Hermite Hadamard type inequalities, (s, m)−convex function of 1st kind, (s, m)−convex function of 2nd kind
Received
2025-06-10
Revised
2025-08-19
Accepted
2025-09-24
Published
2025-11-30

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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