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Some extremal problems for algebraic polynomials in loaded spaces

โœ Scribed by B. P. Osilenker

Book ID
111503427
Publisher
Allerton Press, Inc.
Year
2010
Tongue
English
Weight
539 KB
Volume
54
Category
Article
ISSN
1066-369X

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Some extremal problems for trigonometric
Some extremal problems for trigonometric polynomials
โœ Eduard Belinsky ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 164 KB

Three extremal problems for trigonometric polynomials are studied in this paper. The first was initiated by Maiorov. It relates to the trigonometric polynomials with n nonzero harmonics. The L p -norm of the Weyl derivative is compared with the L q -norm of the polynomial. The other two problems hav