On Quantum Hermite-Hadamard Inequalities for Differentiable Convex Functions

Kara H., Ali M., Budak H.

FILOMAT, vol.36, no.5, pp.1477-1486, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 5
  • Publication Date: 2022
  • Doi Number: 10.2298/fil2205477k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1477-1486
  • Kocaeli University Affiliated: No

Abstract

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.