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)
Muhammad,
B.
, &
Asif,
R.
K.
(2025). , 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
- 투고일Received
- 2025-06-10
- 수정일Revised
- 2025-08-19
- 게재확정일Accepted
- 2025-09-24
- 출판일Published
- 2025-11-30