Refinements of the Hermite-Hadamard inequality for co-ordinated convex mappings

Budak H., Usta F., Sarikaya M. Z.

JOURNAL OF APPLIED ANALYSIS, vol.25, no.1, pp.73-81, 2019 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1515/jaa-2019-0008
  • Journal Name: JOURNAL OF APPLIED ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.73-81
  • Kocaeli University Affiliated: No

Abstract

This paper is motivated by the recent progress on the Hermite-Hadamard inequality for convex functions defined on the bounded closed interval, obtained by Z. Pavic [Z. Pavic, Improvements of the Hermite-Hadamard inequality, J. Inequal. Appl. 2015 (2015), Article ID 222]. As a generalization, we obtained a new refinement of the Hermite-Hadamard inequality for co-ordinated convex functions defined on the rectangle.