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

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

JOURNAL OF APPLIED ANALYSIS, cilt.25, sa.1, ss.73-81, 2019 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/jaa-2019-0008
  • Dergi Adı: JOURNAL OF APPLIED ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.73-81
  • Kocaeli Üniversitesi Adresli: Hayır

Özet

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.