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Landau's Inequality via Hadamard's

✍ Scribed by Maurice Mignotte; Philippe Glesser

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
96 KB
Volume
18
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

✦ Synopsis

We give a new definition of the measure of a polynomial. This definition easily leads to a proof of Landau's inequality, (\mathrm{M}(P) \leq|P|), just using Hadamard's inequality. In the same way, it gives Jensen's formula for polynomials. It also allows us to produce an algorithm to compute the measure of a polynomial. Moreover, we get new inequalities of some interest.

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