On the Fekete-Szeg\"o problem and argument inequality for strongly quasi-convex functions
Bull. Korean Math. Soc. 2001 Vol. 38, No. 2, 357-367
Nak Eun Cho
Pukyong National University
Abstract : Let $\Cal Q(\b)$ be the class of normalized strongly quasi-convex functions of order $\b$ in the open unit disk. Sharp Fekete-Szeg\"o inequalities are obtained for functions belonging to the class $\Cal Q(\b)$. We also consider the integral preserving properties in a sector.
Keywords : close-to-convex, subordinate, strongly quasi-convex, Fekete-Szeg\"o inequality, integral operator
MSC numbers : 30C45
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