Geodesic
Important inequalities for preinvex functions
Pavic, Zlatko1 ; Wu, Shanhe2 ; Novoselac, Vedran1
1 Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000, Croatia
2 Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3570-3579.

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

The paper deals with fundamental inequalities for preinvex functions. The result relating to preinvex functions on the invex set that satisfies condition C shows that such functions are convex on every generated line segment. As an effect of that convexity, the paper provides symmetric forms of the most important inequalities which can be applied to preinvex functions.
DOI : 10.22436/jnsa.009.06.11
Classification : 26D15, 52A01
Keywords: Preinvex function, convex function, inequality.

Pavic, Zlatko 1 ; Wu, Shanhe 2 ; Novoselac, Vedran 1

1 Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000, Croatia
2 Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China 
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Pavic, Zlatko; Wu, Shanhe; Novoselac, Vedran. Important inequalities for preinvex functions. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 6, p. 3570-3579. doi : 10.22436/jnsa.009.06.11. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.06.11/

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