ON THE FEKETE-SZEG$\ddot{O}$ PROBLEM AND ARGUMENT INEQUALITY FOR STRONGLY QUASI-CONVEX FUNCTIONS

  • Cho, Nak-Eun (DEPARTMENT OF APPLIED MATHEMATICS, COLLEGE OF NATURAL SCIENCES, PUKYONG NATIONAL UNIVERSITY)
  • Published : 2001.05.01

Abstract

Let $Q(\beta)$ be the class of normalized strongly quasiconvex functions of order $\beta$ in the open unit disk. Sharp Fekete-Szego inequalities are obtained for functions belonging to the class $Q(\beta)$. We also consider the integral preserving properties in a sector.

Keywords

References

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