Geodesic
Some new integral inequalities for $n$-times differentiable convex and concave functions
Maden, Selahattin 1 ; Kadakal, Huriye 2 ; Kadakal, Mahir 3 ; İscan, İmdat3
1 Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey
2 Institute of Science, Ordu University, Ordu, Turkey
3 Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Turkey
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6141-6148.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.12.01
Classification : 26A51, 26D10, 26D15
Keywords: Convex function, concave function, Holder integral inequality, power-mean integral inequality

Maden, Selahattin  1 ; Kadakal, Huriye  2 ; Kadakal, Mahir  3 ; İscan, İmdat 3

1 Department of Mathematics, Faculty of Sciences and Arts, Ordu University, Ordu, Turkey
2 Institute of Science, Ordu University, Ordu, Turkey
3 Department of Mathematics, Faculty of Sciences and Arts, Giresun University, Giresun, Turkey 
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Maden, Selahattin ; Kadakal, Huriye ; Kadakal, Mahir ; İscan,  İmdat. Some new integral inequalities for \(n\)-times differentiable convex and concave functions. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 12, p. 6141-6148. doi : 10.22436/jnsa.010.12.01. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.12.01/

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