On sharp solutions to majorization and Fekete-Szegő problems for starlike functions

Abstract

. This paper is concerned with sharp solutions to majorization and Fekete-Szeg˝o problems for several relatively new normalized subfamilies of starlike functions. Regarding starlike functions which are subordinated to Sine and Cosine functions, a number of new results are established. The results provide improvements to some recent results. As applications, some interesting deductions are also listed. The findings of this study are thoroughly supported by examples wherever necessary.