The Third-Order Hermitian Toeplitz Determinant for Classes of Functions Convex in One Direction

In this paper, the sharp bounds for the third Hermitian Toeplitz determinant over classes of functions convex in the direction of the imaginary axis and convex in the direction of the positive real axis are computed.

Saved in:
Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 43; no. 4; pp. 3143 - 3158
Main Authors Kowalczyk, Bogumiła, Kwon, Oh Sang, Lecko, Adam, Sim, Young Jae, Śmiarowska, Barbara
Format Journal Article
LanguageEnglish
Published Singapore Springer Singapore 01.07.2020
Springer Nature B.V
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
30C45
Functions convex in the direction of the positive real axis
30C50
Univalent functions
Functions convex in the direction of the imaginary axis
Hermitian Toeplitz matrix
Carathéodory class
Online AccessGet full text

Cover

More Information
Summary:In this paper, the sharp bounds for the third Hermitian Toeplitz determinant over classes of functions convex in the direction of the imaginary axis and convex in the direction of the positive real axis are computed.
ISSN:0126-6705
2180-4206
DOI:10.1007/s40840-019-00859-w