On Hermite-Hadamard type inequalities for co-ordinated trigonometrically ρ-convex functions


BUDAK H., Kara H., Kiris M. E.

TBILISI MATHEMATICAL JOURNAL, vol.13, no.2, pp.1-26, 2020 (ESCI)

  • Publication Type: Article / Article
  • Volume: 13 Issue: 2
  • Publication Date: 2020
  • Journal Name: TBILISI MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.1-26
  • Hatay Mustafa Kemal University Affiliated: No

Abstract

In this study, we first introduce the co-ordinated trigonometrically rho-convex functions. Then we establish some Hermite-Hadamard type inequalities for this kind of functions. We also give refinement of the obtained inequalities by using the result given by Budak. The inequalities obtained in this study provide generalizations of some result given in earlier works.