New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals

Demir Ş., Maden S.

GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.0, no.0, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 0 Issue: 0
  • Publication Date: 2022
  • Doi Number: 10.35378/gujs.934699
  • Journal Name: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Karadeniz Technical University Affiliated: Yes

Abstract

In the paper, we introduce the class of trigonometrically convex functions and using the Holder, Holder-Iscan, Power-mean and Improved power-mean integral inequality together with an identity we establish some new inequalities of Ostrowski-type for functions whose second derivatives are trigonometrically convex which is a special case of h -convex functions. Some applications for special means are also given.