Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials

V. Temlyakov; S. Tikhonov

doi:10.1007/s00365-017-9370-x

Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials

V. Temlyakov, S. Tikhonov

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6 Citations (Scopus)

Abstract

© 2017, Springer Science+Business Media New York. In this paper, we study the Remez-type and Nikol’skii-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between these inequalities for individual functions and its applications are discussed.

Original language	English
Pages (from-to)	593-615
Journal	Constructive Approximation
Volume	46
Issue number	3
DOIs	https://doi.org/10.1007/s00365-017-9370-x
Publication status	Published - 1 Dec 2017

Keywords

Hyperbolic cross polynomials
Nikol’skii-type inequalities
Remez-type inequalities

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10.1007/s00365-017-9370-x

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title = "Remez-Type and Nikol{\textquoteright}skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials",

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author = "V. Temlyakov and S. Tikhonov",

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AU - Temlyakov, V.

AU - Tikhonov, S.

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N2 - © 2017, Springer Science+Business Media New York. In this paper, we study the Remez-type and Nikol’skii-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between these inequalities for individual functions and its applications are discussed.

AB - © 2017, Springer Science+Business Media New York. In this paper, we study the Remez-type and Nikol’skii-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between these inequalities for individual functions and its applications are discussed.

KW - Hyperbolic cross polynomials

KW - Nikol’skii-type inequalities

KW - Remez-type inequalities

U2 - 10.1007/s00365-017-9370-x

DO - 10.1007/s00365-017-9370-x

M3 - Article

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JO - Constructive Approximation

JF - Constructive Approximation

SN - 0176-4276

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ER -

Remez-Type and Nikol’skii-Type Inequalities: General Relations and the Hyperbolic Cross Polynomials

Abstract

Keywords

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