Bullen-Mercer type inequalities for the<i> h</i>-convex function with twice differentiable functions

Benaissa B., Azzouz N., Budak H.

FILOMAT, vol.38, no.30, pp.10747-10763, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 30
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2430747b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.10747-10763
  • Kocaeli University Affiliated: No

Abstract

Bullen-type inequalities for h-convex functions using conformable fractional operators are established in this study on the cone of twice-differentiable functions. This is a novel fractional version of the existing Bullen-type inequalities with simple procedures using the B-function. Furthermore, new results on Bullen-type inequalities are presented for several specific cases of convexity, generalizing existing inequalities known in the literature.