On Hermite-Hadamard Inequality for s-convex Functions in the Fourth Sense and Its Applications
WSEAS Transactions on Mathematics, vol.24, pp.443-449, 2025 (Scopus)
- Publication Type: Article / Article
- Volume: 24
- Publication Date: 2025
- Doi Number: 10.37394/23206.2025.24.42
- Journal Name: WSEAS Transactions on Mathematics
- Journal Indexes: Scopus, INSPEC, zbMATH
- Page Numbers: pp.443-449
- Keywords: Abstract convex functions, Beta function, Convex functions, Digamma function, Hermite-Hadamard inequality, Integral inequalities, Logaritmic integral functions, s-Convex functions in the fourth sense, s-Convexity
- Akdeniz University Affiliated: Yes
Abstract
In this article, a generator function is given for s-convex functions in the fourth sense, and then the Hermite-Hadamard type inequality is obtained for s-convex functions in the fourth sense. Using the generator function and the Hermite-Hadamard type inequality, some implementations of the results are given, including some inequality relations between the generalized logarithmic mean itself and other averages, as well as some inequalities for the digamma, beta function, and logarithmic integral function.