New inequalities of hermite-hadamard type for functions whose second derivatives absolute values are exponential trigonometric convex

Demir Ş.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, vol.41, no.3, pp.451-456, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 3
  • Publication Date: 2022
  • Doi Number: 10.14744/sigma.2021.00072
  • Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Page Numbers: pp.451-456
  • Karadeniz Technical University Affiliated: Yes

Abstract

In this paper, a new class of convex functions, which is called exponential trigonometric con-vex functions is studied. We obtain some refinements of the Hermite-Hadamard type inequal-ities via functions whose second derivatives in absolute value at certain power are exponential trigonometric convex functions. The results of the research by the means of Holder-Iscan and improved-power-mean integral inequalities.