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Inequalities for ultraspherical polynomials and the gamma function

✍ Scribed by Lee Lorch


Book ID
107776867
Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
243 KB
Volume
40
Category
Article
ISSN
0021-9045

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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].