New Refinements of Hermite-Hadamard Inequalities for Quantum Integrals

BUDAK H.

Journal of Nonlinear Modeling and Analysis, vol.8, no.1, pp.1-8, 2026 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.12150/jnma.2026.1
  • Journal Name: Journal of Nonlinear Modeling and Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-8
  • Keywords: Convex functions, Hermite-Hadamard inequality, quantum inte grals
  • Kocaeli University Affiliated: No

Abstract

In this study, we first introduce two functions including quantum integrals. Then, we prove some properties of these mappings such as convexity and monotony. Moreover, by using the newly defined mappings, we prove some refinements of the left hand side of Hermite-Hadamard inequality for left and right quantum integrals.