On Hermite-Hadamard-Fejer-Type Inequalities for <i>η</i>-Convex Functions via Quantum Calculus
MATHEMATICS, vol.11, no.15, 2023 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 11 Issue: 15
- Publication Date: 2023
- Doi Number: 10.3390/math11153387
- Journal Name: MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Kocaeli University Affiliated: No
Abstract
In this paper, we use qa- and qb-integrals to establish some quantum Hermite-Hadamard-Fejer-type inequalities for ?-convex functions. By taking q & RARR;1, our results reduce to classical results on Hermite-Hadamard-Fejer-type inequalities for ?-convex functions. Moreover, we give some examples for quantum Hermite-Hadamard-Fejer-type inequalities for ?-convex functions. Some results presented here for ?-convex functions provide extensions of others given in earlier works for convex and ?-convex functions.