TY - JOUR T1 - Erdös Type Inequality for Lorentz Polynomials 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.