On Quantum Hermite-Hadamard Inequalities for Differentiable Convex Functions

Kara H., Ali M., Budak H.

FILOMAT, cilt.36, sa.5, ss.1477-1486, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 5
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2205477k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1477-1486
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

In this paper, we establish some new quantum Hermite-Hadamard type inequalities for differentiable convex functions by using the q(kappa 2)-quantum integral. The results presented in this paper extend the results of Bermudo et al. (On q-Hermite-Hadamard inequalities for general convex functions, Acta Mathematica Hungarica, 2020, 162, 363-374). Finally, we give some examples to show validation of new results of this paper.