关于k-折对称点的近于凸函数和拟凸函数子类的邻域

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 ${\mathcal S_{s,\ n}^{(k)}}A, B]$ 或者 ${\mathcal C_{s,\ n}^{(k)}}A, B]$中的函数$f$, 得到了使得所有函数$g\in{\mathcal N_{\delta}}(f)$包含在 ${\mathcal S_{s,\ n}^{(k)}}A, B]$内的充分条件，且 $\delta$ 是最好的可能。

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

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,nA,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.