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

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

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.

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Veröffentlicht in:Constructive approximation 2017-12, Vol.46 (3), p.593-615
Hauptverfasser: Temlyakov, V., Tikhonov, S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Functions (mathematics)
Inequalities
Mathematical analysis
Mathematics
Mathematics and Statistics
Numerical Analysis
Polynomials
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Beschreibung
Zusammenfassung: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.
ISSN:0176-4276
1432-0940
DOI:10.1007/s00365-017-9370-x