منابع مشابه
Inequalities for Weierstrass Products
The aim of this note is to find new inequalities for the Weierstrass products n ∏
متن کاملInequalities for Products of Polynomials I
We study inequalities connecting the product of uniform norms of polynomials with the norm of their product. This circle of problems include the Gelfond-Mahler inequality for the unit disk and the KneserBorwein inequality for the segment [−1, 1]. Furthermore, the asymptotically sharp constants are known for such inequalities over arbitrary compact sets in the complex plane. It is shown here tha...
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We derive sharp probability bounds on the tails of a product of symmetric non-negative random variables using only information about their first two moments. If the covariance matrix of the random variables is known exactly, these bounds can be computed numerically using semidefinite programming. If only an upper bound on the covariance matrix is available, the probability bounds on the right t...
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We give a characterization for isoperimetric invariants, including the Cheeger constant and the isoperimetric number of a graph. This leads to an isoperimetric inequality for the cartesian products of graphs.
متن کاملInequalities for Products of Polynomials. II
In this paper, we continue the study of inequalities connecting the product of uniform norms of polynomials with the norm of their product, begun in [28]. Asymptotically sharp constants are known for such inequalities over arbitrary compact sets in the complex plane. We show here that such constants can be improved under some natural additional assumptions. Thus we find the best constants for r...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2013
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2013.13.1733