On the optimal constants in the two-sided Stechkin inequalities

DOI10.1016/j.jat.2021.105607zbMath1473.41002arXiv2006.07441OpenAlexW3175788966MaRDI QIDQ2045837

Thomas Jahn, Tino Ullrich

Publication date: 16 August 2021

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.07441

zbMATH Keywords

sparse approximationoptimal constantsStechkin inequalityMarcinkiewicz interpolation theoremapproximation space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Best constants in approximation theory (41A44)

Cites Work

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• On a result of Levin and Stečkin
• Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross
• Approximation spaces
• SOME ELEMENTARY INEQUALITIES, II
• Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem
• Inequalities

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