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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.33 No.1

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On Generalization of Hermite-Hadamard Inequality for (s, r)-Convex Functions

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
2026, v.33 no.1, pp.37-61
https://doi.org/10.7468/jksmeb.2026.33.1.37
Muhammad Bilal (University of Karachi)
Muhammad Imtiaz (University of Karachi)
Asif R. Khan (University of Karachi)
Ihsan Ullah (University of Karachi)
Muhammad Zafran (University of Karachi)
Muhammad, B. , Muhammad, I. , Asif, R. K. , Ihsan, U. , & Muhammad, Z. (2026). On Generalization of Hermite-Hadamard Inequality for (s, r)-Convex Functions, 33(1), 37-61, https://doi.org/10.7468/jksmeb.2026.33.1.37

Abstract

In this paper, we establish the Hermite-Hadamard dual inequality for the class of (s, r)-convex functions. Furthermore, we present several additional results related to the Hermite-Hadamard inequality for (s, r)-convex functions by employing Riemann-Liouville fractional integrals through distinct techniques. As a consequence, various known results are obtained as special cases. In addition, we provide applications of our findings in terms of special means.

keywords
Fractional Hermite-Hadamard inequality, s-convex function in the first, kind, s-convex function in the second kind, (s, r)-convex function.

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

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