NEW INEQUALITIES FOR n- TIME DIFFERENTIABLE FUNCTIONS
Tbilisi Mathematical Journal, vol.12, no.2, pp.1-15, 2019 (SCI-Expanded, ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 12 Issue: 2
- Publication Date: 2019
- Doi Number: 10.18514/mmn.2019.2489
- Journal Name: Tbilisi Mathematical Journal
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.1-15
- Keywords: convex function, r-convex function, Holder integral inequality and power-mean integral inequality, HADAMARDS INEQUALITY
- Bursa Uludag University Affiliated: Yes
Abstract
In this work, by using an integral identity together with both the Holder and the Power-Mean integral inequality we establish several new inequalities for n-time differentiable r-convex and concave functions.