Generalizations of E-convex and B-vex functions
نویسندگان
چکیده
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. © 2009 Elsevier Ltd. All rights reserved.
منابع مشابه
Generalized Differentiable -Invex Functions and Their Applications in Optimization
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 58 شماره
صفحات -
تاریخ انتشار 2009