On Multivariate Polynomials with Largest
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AndrΓ‘s KroΓ³
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Article
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2001
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Elsevier Science
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English
β 106 KB
In this paper we study the extremal polynomials for the Markov inequality on a convex symmetric body K ; β«ήβ¬ m , that is, norm 1 polynomials on K whose gradients attain the largest value on K. It is shown that any such polynomial must coincide with the Chebyshev polynomial along a certain line. More