On Hermite-Hadamard-Fejer-Type Inequalities for <i>η</i>-Convex Functions via Quantum Calculus

Arunrat N., Nonlaopon K., Budak H.

MATHEMATICS, cilt.11, sa.15, 2023 (SCI-Expanded) identifier identifier

  • 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.