Some Inequalities for the Maximum Modulus of Rational Functions

Robert Gardner, Narendra Kumar Govil and Prasanna Kumar

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

Abstract: For a polynomial p(z) of degree n, it follows from the maximum modulus theorem that max|z|=R≥1|p(z)| ≤ Rnmax|z|=1|p(z)|. It was shown by Ankeny and Rivlin that if p(z) ≠ 0 for |z|

Date: 2021
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https://doi.org/10.1155/2021/2263550

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