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The Converses of the Cauchy-Holder Inequality and the Solutions of the Inequality g(x+y)<=g(x)+g(y)

✍ Scribed by Cooper, R.


Book ID
120104652
Publisher
Oxford University Press
Year
1927
Tongue
English
Weight
375 KB
Volume
s2-26
Category
Article
ISSN
0024-6115

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Let \(F(x, y), G(x, y) \in \mathbf{Z}[x, y]\) be polynomials of degree \(n\) and \(m\), respectively. Assume, that \(F\) is homogeneous and \(n-m \geq 3\). We give a fast algorithm for the resolution of the inequality \(|F(x, y)| \leq|G(x, y)|\) in \(x, y \in \mathbf{Z}, \max (|x|,|y|)<C\). We illus