Remez-type inequalities for the hyperbolic cross polynomials
arXiv:1606.037734 citationsh-index: 38
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It advances the theoretical understanding of polynomial inequalities in approximation theory for a specific function class.
The paper establishes Remez-type inequalities for trigonometric polynomials with harmonics from hyperbolic crosses and discusses their interrelation with Nikolskii inequalities, providing theoretical results for this function class.
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.