Some Refinements of the Hermite–Hadamard Inequality with the Help of Weighted Integrals

Bayraktar B., Nápoles J., Rabossi F.

Ukrainian Mathematical Journal, vol.75, no.6, pp.842-860, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 75 Issue: 6
  • Publication Date: 2023
  • Doi Number: 10.1007/s11253-023-02232-4
  • Journal Name: Ukrainian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.842-860
  • Bursa Uludag University Affiliated: Yes

Abstract

By using the definition of modified (h, m, s)-convex functions of the second type, we present various refinements of the classical Hermite–Hadamard inequality obtained within the framework of weighted integrals. Throughout the paper, we show that various known results available from the literature can be obtained as particular cases of our results.