Remez-type inequalities for the hyperbolic cross polynomials
V. Temlyakov, S. Tikhonov
TL;DR
This paper investigates Remez-type inequalities for hyperbolic cross trigonometric polynomials, exploring their relationship with Nikolskii inequalities and potential applications in approximation theory.
Contribution
It introduces new Remez-type inequalities specific to hyperbolic cross polynomials and examines their connection with Nikolskii inequalities.
Findings
Established Remez-type inequalities for hyperbolic cross polynomials
Analyzed the relationship between Remez and Nikolskii inequalities
Discussed applications in approximation theory
Abstract
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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Taxonomy
TopicsMathematical functions and polynomials · Mathematical Inequalities and Applications · Differential Equations and Boundary Problems