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Best constants in Sobolev inequalities for ultraspherical polynomials

✍ Scribed by J. Michael Pearson


Publisher
Springer
Year
1992
Tongue
English
Weight
480 KB
Volume
116
Category
Article
ISSN
0003-9527

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## We show that in the uniform norm for every real algebraic polynomial f of degree n which satisfies the inequalities | f (x)| |P (:, :) n (x)| at the points x of local extrema of the ultraspherical polynomial P (:, :) n in [&1, 1].