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Duffin and Schaeffer Type Inequality for Ultraspherical Polynomials

✍ Scribed by Borislav Bojanov; Geno Nikolov

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
280 KB
Volume
84
Category
Article
ISSN
0021-9045

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✦ Synopsis

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].

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