Novel variants of Hermite-Hadamard inequalities for (α, η)−convex functions of 1st and 2nd kinds
Abstract
In this article, we aim to present generalized results related to the well-known Hermite-Hadamard dual inequality for two distinct types of \((\alpha, \eta)\) convex functions, employing various techniques such as Hölder's and Power mean inequalities. Consequently, both established and new results will be encompassed as special cases. Additionally, we intend to explore some relationships between our findings with well-known special means and trapezoidal formula.
Fields of Study & Subjects
Mathematical Inequalities and Applications
Approximation Theory and Sequence Spaces
Functional Equations Stability Results
Publication details
- Journal / source
- Rad Hrvatske akademije znanosti i umjetnosti Matematičke znanosti
- Publisher
- Croatian Academy of Sciences and Arts
- Volume
- 30
- Pages
- 93–109
- Publication date
- 1 January 2026
- Language
- EN