SHARP INEQUALITIES FOR HERMITIAN TOEPLITZ. DETERMINANTS FOR STRONGLY STARLIKE AND STRONGLY CONVEX FUNCTIONS

被引：10
|
作者：
Kowalczyk, Bogumila [1 ]
Lecko, Adam [1 ]
Smiarowska, Barbara [1 ]
机构：
[1] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Stoneczna 54, PL-10710 Olsztyn, Poland
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2021年 / 15卷 / 01期
关键词：
Hermitian Toeplitz determinant; strongly starlike function; strongly convex function; Caratheodory class;
D O I：
10.7153/jmi-2021-15-24
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Sharp upper and lower bounds are found of the second and third order Hermitian Toeplitz determinants for the classes of strongly starlike and strongly convex functions of order alpha (alpha is an element of [0,1)).
引用
收藏
页码：323 / 332
页数：10
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