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arxiv: 1606.03773 · v1 · pith:XLQIY36Knew · submitted 2016-06-12 · 🧮 math.CA · cs.NA· math.NA

Remez-type inequalities for the hyperbolic cross polynomials

classification 🧮 math.CA cs.NAmath.NA
keywords inequalitieshyperbolicpolynomialsremez-typeapplicationscrosscrossesdiscussed
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In this paper we study the Remez-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses. The interrelation between the Remez and Nikolskii inequalities for individual functions and its applications are discussed.

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