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Volume 34, Issue 3
Erdös Type Inequality for Lorentz Polynomials

Laiyi Zhu, Dapeng Zhou & Zhiyong Huang

Anal. Theory Appl., 34 (2018), pp. 232-240.

Published online: 2018-11

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  • Abstract

An elementary, but very useful tool for proving inequalities for polynomials with restricted zeros is the Bernstein or Lorentz representation of polynomials. In the present paper, we give two classes of Lorentz polynomials, for which the Erdös-type inequality holds.

  • AMS Subject Headings

11C08, 41A17

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COPYRIGHT: © Global Science Press

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@Article{ATA-34-232, author = {Laiyi Zhu, Dapeng Zhou and Zhiyong Huang}, title = {Erdös Type Inequality for Lorentz Polynomials}, journal = {Analysis in Theory and Applications}, year = {2018}, volume = {34}, number = {3}, pages = {232--240}, abstract = {

An elementary, but very useful tool for proving inequalities for polynomials with restricted zeros is the Bernstein or Lorentz representation of polynomials. In the present paper, we give two classes of Lorentz polynomials, for which the Erdös-type inequality holds.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2017-0002}, url = {http://global-sci.org/intro/article_detail/ata/12838.html} }
TY - JOUR T1 - Erdös Type Inequality for Lorentz Polynomials AU - Laiyi Zhu, Dapeng Zhou & Zhiyong Huang JO - Analysis in Theory and Applications VL - 3 SP - 232 EP - 240 PY - 2018 DA - 2018/11 SN - 34 DO - http://doi.org/10.4208/ata.OA-2017-0002 UR - https://global-sci.org/intro/article_detail/ata/12838.html KW - Lorentz representation of polynomials, constrained polynomials, Morkov-type inequalities, Erdös-type inequality. AB -

An elementary, but very useful tool for proving inequalities for polynomials with restricted zeros is the Bernstein or Lorentz representation of polynomials. In the present paper, we give two classes of Lorentz polynomials, for which the Erdös-type inequality holds.

Laiyi Zhu, Dapeng Zhou and Zhiyong Huang. (2018). Erdös Type Inequality for Lorentz Polynomials. Analysis in Theory and Applications. 34 (3). 232-240. doi:10.4208/ata.OA-2017-0002
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