Some new integral inequalities for \(n\)-times differentiable convex and concave functions
Authors
Selahattin Maden
- Department of Mathematics, Faculty of Sciences and Arts, Ordu University-Ordu-Turkey
Huriye Kadakal
- Institute of Science, Ordu University-Ordu-Turkey
Mahir Kadakal
- Department of Mathematics, Faculty of Sciences and Arts, Giresun University-Giresun-Turkey
İmdat İscan
- Department of Mathematics, Faculty of Sciences and Arts, Giresun University-Giresun-Turkey
Abstract
In this work, by using an integral identity together with both the Holder and the Power-mean integral inequalities we establish several new inequalities for \(n\)-times differentiable convex and concave mappings.
Keywords
- Convex function
- concave function
- Holder integral inequality
- power-mean integral inequality
References
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