Nikolskii-type inequalities for shift invariant function spaces

DOI10.1090/S0002-9939-06-08533-9zbMath1113.41017MaRDI QIDQ3419901

Peter B. Borwein, Tamás Erdélyi

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

exponential sumsNikolskii-type inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (7)

A modulation invariant Carleson embedding theorem outside local \(L^2\) ⋮ Markov-Type Inequalities for Products of Müntz Polynomials Revisited ⋮ On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\) ⋮ George Lorentz and inequalities in approximation ⋮ On the size of the polynomials orthonormal on the unit circle with respect to a measure which is a sum of the Lebesgue measure and 𝑃 point masses ⋮ Endpoint bounds for the bilinear Hilbert transform ⋮ Remez-type inequality on sets with cusps

Cites Work

• Unnamed Item
• Markov-Nikolskii type inequalities for exponential sums on finite intervals
• On certain mean values of polynomials on the unit interval.
• Pointwise Remez- and Nikolskii-type inequalities for exponential sums
• On certain mean values of polynomials

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