On Hermite-Hadamard-Fejer-Type Inequalities for <i>η</i>-Convex Functions via Quantum Calculus
MATHEMATICS, cilt.11, sa.15, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 15
- Basım Tarihi: 2023
- Doi Numarası: 10.3390/math11153387
- Dergi Adı: MATHEMATICS
- Derginin Tarandığı İndeksler: 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 Üniversitesi Adresli: Hayır
Özet
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.