Inequalities between height and deviation of polynomials

In this paper, for polynomials with real coefficients P,QP,Q satisfying ∣P(x)∣≤∣Q(x)∣| P\left(x)| \le | Q\left(x)| for each xx in a real interval II, we prove the bound L(P)≤cL(Q)L\left(P)\le cL\left(Q) between the lengths of PP and QQ with a constant cc, which is exponential in the degree dd of PP...

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Bibliographic Details
Main Author: Dubickas Artūras
Format: article
Language:EN
Published: De Gruyter 2021
Subjects:
Online Access:https://doaj.org/article/9b3a9d2c544f4164a840c186b77435a0
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