NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR <i>s</i>-CONVEX FUNCTIONS


Sarikaya M. Z., Kiris M. E.

MISKOLC MATHEMATICAL NOTES, vol.16, no.1, pp.491-501, 2015 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.18514/mmn.2015.1099
  • Journal Name: MISKOLC MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.491-501
  • Hatay Mustafa Kemal University Affiliated: No

Abstract

Some new results related of the left-hand side of the Hermite-Hadamard type inequalities for the class of mappings whose second derivatives at certain powers are s-convex in the second sense are established. Also, some applications to special means of real numbers are provided.