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

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Abstract

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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Authors and Affiliations

  1. Department of Complex Analysis, Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, ul. Słoneczna 54, 10-710, Olsztyn, Poland

    Bogumiła Kowalczyk, Adam Lecko & Barbara Śmiarowska

  2. Department of Mathematics, Kyungsung University, Busan, 48434, Korea

    Oh Sang Kwon & Young Jae Sim

Authors
  1. Bogumiła Kowalczyk
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  2. Oh Sang Kwon
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  3. Adam Lecko
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  4. Young Jae Sim
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  5. Barbara Śmiarowska
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Corresponding author

Correspondence to Adam Lecko.

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The authors declare that they have no conflict of interest.

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Communicated by V. Ravichandran.

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The fourth author was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korea government (MSIP; Ministry of Science, ICT & Future Planning) (No. NRF-2017R1C1B5076778).

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Kowalczyk, B., Kwon, O.S., Lecko, A. et al. The Third-Order Hermitian Toeplitz Determinant for Classes of Functions Convex in One Direction. Bull. Malays. Math. Sci. Soc. 43, 3143–3158 (2020). https://doi.org/10.1007/s40840-019-00859-w

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  • DOI: https://doi.org/10.1007/s40840-019-00859-w

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