The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order α

Sharp lower and upper bounds for the second- and third-order Hermitian Toeplitz determinants for the classes of starlike and convex functions of order α ( α ∈ [ 0 , 1 ) ) are given.

Saved in:
Bibliographic Details
Published inBoletín de la Sociedad Matemática Mexicana Vol. 26; no. 2; pp. 361 - 375
Main Authors Cudna, K., Kwon, O. S., Lecko, A., Sim, Y. J., Śmiarowska, B.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.07.2020
Springer Nature B.V
Subjects
Convex analysis
Determinants
Mathematics
Mathematics and Statistics
Original Article
Upper bounds
30C45
30C50
Univalent functions
Functions convex of order
Carathéodory class
Hermitian Toeplitz determinants
Functions starlike of order
Online AccessGet full text

Cover

More Information
Summary:Sharp lower and upper bounds for the second- and third-order Hermitian Toeplitz determinants for the classes of starlike and convex functions of order α ( α ∈ [ 0 , 1 ) ) are given.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-019-00271-1