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Inequalities of Duffin--Schaeffer Type

โœ Scribed by Nikolov, Geno

Book ID
118200008
Publisher
Society for Industrial and Applied Mathematics
Year
2001
Tongue
English
Weight
171 KB
Volume
33
Category
Article
ISSN
0036-1410

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๐Ÿ“œ SIMILAR VOLUMES

On Certain Duffin and Schaeffer Type Ine
On Certain Duffin and Schaeffer Type Inequalities
โœ Geno Nikolov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 285 KB

Duffin and Schaeffer type inequalities related to some ultraspherical polynomials are established. One of the results obtained reads as follows: Let f be a real algebraic polynomial of degree at most n, 1) for all k # [1, ..., n]. Moreover, equality holds if and only if f =\T n . 1998 Academic Pres

Duffin and Schaeffer Type Inequality for
Duffin and Schaeffer Type Inequality for Ultraspherical Polynomials
โœ Borislav Bojanov; Geno Nikolov ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 280 KB

## 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].