HERMITE-HADAMARD TYPE INEQUALITIES FOR (M_ω, M_ψ)-CONVEX FUNCTIONS


Aykan Alan E., İşcan İ., Set E.

Miskolc Mathematical Notes, vol.27, no.1, pp.5-13, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 27 Issue: 1
  • Publication Date: 2026
  • Doi Number: 10.18514/mmn.2026.5211
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, MathSciNet, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO), East & Central Europe Database (ProQuest), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Page Numbers: pp.5-13
  • Keywords: convex functions, Hermite-Hadamard inequalities, weighted means
  • Karadeniz Technical University Affiliated: No

Abstract

In this paper, the authors introduce the generalization of Hermite-Hadamard inequality by using (M_φ,M_ψ)-convex functions and getting some other theorems with (M_φ,M_ψ)-convex functions. Some natural applications to special means of real numbers are also given.