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Semilocal Semi( E,F)-Convex Function and It's Properties

GAO Ye;ZHANG Qing-xiang;XING Miao;College of Mathematics and Computer Science,Yan'an University;  
The definitions of some generalized convex functions are presented by using the concepts of local starshaped set,semi( E,F)-convex function and semilocal convex function,which are semilocal semi( E,F)-convex function,semilocal semi( E,F)-pseudo convex function,semilocal semi( E,F)-quasi convex function,semilocal semi( E,F)-strict convex function,and semilocal semi( E,F)-strong convex function. The properties of these generalized convex functions are researched.
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