Some New Inequalities for Differentiable h-Convex Functions and Applications

Creative Commons License

ÇAKMAK M., Tunç M., Acem A.

Miskolc Mathematical Notes, vol.22, no.1, pp.107-121, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.18514/mmn.2021.2444
  • Journal Name: Miskolc Mathematical Notes
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.107-121
  • Keywords: h-convex function, Hadamard inequality, Hölder inequality, s-convex function, tgs-convex functions
  • Open Archive Collection: AVESIS Open Access Collection
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, the authors established a new identity for differentiable functions, afterwards they obtained some new inequalities for functions whose first derivatives in absolute value at certain powers are h-convex by using the identity. Also they give some applications for special means for arbitrary positive numbers.