On some inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex

Karabayir I., Tunç M., Yüksel E.

Georgian Mathematical Journal, vol.22, no.2, pp.251-257, 2015 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1515/gmj-2015-0002
  • Journal Name: Georgian Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.251-257
  • Keywords: Cauchy's inequality, Hadamard's inequality, Hölder's inequality, power mean inequality, α-, m-, (α, m)-logarithmically convex
  • Hatay Mustafa Kemal University Affiliated: Yes

Abstract

In this paper, we establish some new Hadamard-type inequalities using elementary well-known inequalities for functions whose absolute values of the second derivatives are α-, m-, (α,m)-logarithmically convex.