Some integral inequalities for α,-;M-; (α,M)-logarithmically convex functions

Tunç M., Yüksel E.

Khayyam Journal of Mathematics, vol.1, no.1, pp.115-124, 2015 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 1 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.22034/kjm.2015.12291
  • Journal Name: Khayyam Journal of Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.115-124
  • Keywords: (α,m)-logarithmically convex, Cauchy's inequality, Hadamard's inequality, Hölder's inequality, M-, Power mean inequality, α-
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, the authors establish some Hermite-Hadamard type inequalities by using elementary inequalities for functions whose first derivative absolute values are α-, m-; (α,m)-logarithmically convex.