New Ostrowski Type Inequalities for Trigonometrically Convex Functions Via Classical Integrals
GAZI UNIVERSITY JOURNAL OF SCIENCE, vol.0, no.0, 2022 (ESCI, Scopus, TRDizin)
- 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.