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Some extremal properties of nonnegative trigonometric polynomials

โœ Scribed by A. V. Reztsov


Publisher
SP MAIK Nauka/Interperiodica
Year
1986
Tongue
English
Weight
13 KB
Volume
40
Category
Article
ISSN
0001-4346

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Some extremal problems for trigonometric
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