# American Institute of Mathematical Sciences

2013, 3(4): 615-625. doi: 10.3934/naco.2013.3.615

## Some properties of a class of $(F,E)$-$G$ generalized convex functions

 1 Department of Mathematics, Chongqing Normal University, Chongqing 400047, China

Received  April 2013 Revised  August 2013 Published  October 2013

In this paper, firstly, a new class of $(F,E)$-$G$ generalized convex functions, which is the generalization of $F$-$G$ generalized convex functions, is introduced. Secondly, some properties of $(F,E)$-$G$ generalized convex functions are obtained. Finally, some relations between $(F,E)$-$G$ generalized convex functions and other generalizations of convex functions are established.
Citation: Lijia Yan. Some properties of a class of $(F,E)$-$G$ generalized convex functions. Numerical Algebra, Control & Optimization, 2013, 3 (4) : 615-625. doi: 10.3934/naco.2013.3.615
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