关于k-折对称点的近于凸函数和拟凸函数子类的邻域

On the Neighborhoods of Certain Subclasses of Close-to-Convexand Quasi-Convex Functions with Respect to k-Symmetric Points

研究了关于k-折对称点的近于凸函数和拟凸函数子类的邻域.对于S(s,k n)[A,B]或者C(s,k n)[A,B]中的函数f,得到了使得所有函数g Nδ(f)包含在S(s,k n)[A,B]内的充分条件,且δ是最好的可能.

The neighborhoods of certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points are studied.If f is in S（k）s,n [A,B] or C（k）s,n[A,B],some sufficient conditions are established such that all functions g∈Nδ（f） are included in S（k）s,n [A,B] with this δ being the best possibility.