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.

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Bibliographic Details
Published in:Bulletin of the Malaysian Mathematical Sciences Society 2020-07, Vol.43 (4), p.3143-3158
Main Authors: Kowalczyk, Bogumiła, Kwon, Oh Sang, Lecko, Adam, Sim, Young Jae, Śmiarowska, Barbara
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Online Access:Get full text
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Description
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