Bombieri's Inequality
For homogeneous polynomials P and Q of degree m and n, then
![画像: sqrt((m!n!)/((m+n)!))[P]_2[Q]_2<=[P·Q]_2<=[P]_2[Q]_2,](/index.cgi/contrast/https://mathworld.wolfram.com/images/equations/BombierisInequality/NumberedEquation1.svg){kind=link}
where [P·Q]_2 is the Bombieri norm.
See also
Beauzamy and Dégot's Identity, Bombieri Norm, Boundedly Compact Space, Reznick's IdentityExplore with Wolfram|Alpha
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References
Borwein, P. and Erdélyi, T. "Bombieri's Norm." §5.3.E.7 in Polynomials and Polynomial Inequalities. New York: Springer-Verlag, p. 274, 1995.Referenced on Wolfram|Alpha
Bombieri's InequalityCite this as:
Weisstein, Eric W. "Bombieri's Inequality." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BombierisInequality.html