Inequalities via s-convexity and log -convexity

Akdemir A. O., Ardıç M. A., ÖZDEMİR M. E.

Topological Algebra and its Applications, vol.5, no.1, pp.74-85, 2017 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 5 Issue: 1
  • Publication Date: 2017
  • Doi Number: 10.1515/taa-2017-0012
  • Journal Name: Topological Algebra and its Applications
  • Journal Indexes: Scopus
  • Page Numbers: pp.74-85
  • Keywords: Convex function, Hölder inequality, Log -convex function, Ostrowski inequality, Power-mean inequality, S-convex function
  • Bursa Uludag University Affiliated: Yes

Abstract

In this paper, we obtain some new inequalities for functions whose second derivatives' absolute value is s-convex and log -convex. Also, we give some applications for numerical integration.