바로가기메뉴

본문 바로가기 주메뉴 바로가기
 
 

logo

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

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

한국수학교육학회지시리즈B:순수및응용수학 / 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)

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
투고일Received
2025-06-10
수정일Revised
2025-08-19
게재확정일Accepted
2025-09-24
출판일Published
2025-11-30

한국수학교육학회지시리즈B:순수및응용수학