Generalizations of E-convex and B-vex functions

Authors:
Yu-Ru Syau;Lixing Jia;E. Stanley Lee
Affiliations:
Department of Information Management, National Formosa University, Huwei Township, Yunlin, 632, Taiwan;Department of Mathematics & Computer Science, Chicago State University, Chicago, IL 60628, United States;Department of Industrial & Manufacturing Systems Engineering, Kansas State University, Manhattan, KS 66506, United States
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 5
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Abstract

A class of functions called E-B-vex functions is defined as a generalization of E-convex and B-vex functions. Similarly, a class of E-B-preinvex functions, which are generalizations of E-convex and B-preinvex functions, is introduced. In addition, the concept of B-linear functions is also generalized to E-B-linear functions. Some properties of these proposed classes are studied. Furthermore, the equivalence between the class of E-B-vex functions and that of E-quasiconvex functions is proved.