Some extensions of the Hermite-Hadamard inequalities for quasi-convex functions via weighted integral

BAYRAKTAR B., Valdés J. E. N., Rabossi F., Samaniego A. D.

Proyecciones, vol.42, no.5, pp.1221-1239, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.22199/issn.0717-6279-5610
  • Journal Name: Proyecciones
  • Journal Indexes: Scopus, Academic Search Premier, Fuente Academica Plus, zbMATH, DIALNET
  • Page Numbers: pp.1221-1239
  • Keywords: Convex functions, Hadamard type inequality, integral operators weighted, quasi-convex functions
  • Bursa Uludag University Affiliated: Yes

Abstract

In this note, starting with a lemma, we obtain several extensions of the well-known Hermite-Hadamard inequality for convex functions, using generalized weighted integral operators.