Important inequalities for preinvex functions

Volume 9, Issue 6, pp 3570--3579 http://dx.doi.org/10.22436/jnsa.009.06.11

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Authors

Zlatko Pavic - Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000, Croatia. Shanhe Wu - Department of Mathematics, Longyan University, Longyan, Fujian, 364012, P. R. China. Vedran Novoselac - Mechanical Engineering Faculty in Slavonski Brod, University of Osijek, Slavonski Brod, 35000, Croatia.

Abstract

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.

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Keywords

• Preinvex function
• convex function
• inequality.

MSC

•  26D15
•  52A01

References

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