Some integral inequalities via new generalized harmonically convexity
Mathematical Methods in the Applied Sciences, vol.46, no.16, pp.17226-17241, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 16
- Publication Date: 2023
- Doi Number: 10.1002/mma.9496
- Journal Name: Mathematical Methods in the Applied Sciences
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
- Page Numbers: pp.17226-17241
- Keywords: convexity, harmonic convexity, Hermite–Hadamard inequality
- Karadeniz Technical University Affiliated: Yes
Abstract
In this paper, we present a new generalized class of harmonically convex functions and discuss some of their algebraic properties. Furthermore, we establish some Hermite–Hadamard-type inequalities via new generalized harmonically convexity. As applications of the findings in this study, some particular cases are described.