Ul'yanov-type inequality for bounded convex sets in \(\mathbb R^d\)

DOI10.1016/j.jat.2007.09.002zbMath1138.41003OpenAlexW1990220728MaRDI QIDQ2481511

Z. Ditzian, Andriy Prymak

Publication date: 10 April 2008

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

Full work available at URL: https://doi.org/10.1016/j.jat.2007.09.002

zbMATH Keywords

moduli of smoothnessWhitney-type inequalityUl'yanov-type inequalityrealization results

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (3)

On directional Whitney inequality ⋮ On the analysis of anisotropic smoothness ⋮ On the equivalence of the modulus of smoothness and the \(K\)-functional over convex domains

Cites Work

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• Multivariate Bernstein and Markov inequalities
• Orthonormal systems satisfying an inequality of S. M. Nikol'skii
• Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type
• Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation
• Ul'yanov and Nikol'skii-type inequalities
• Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
• Besov Spaces on Domains in ℝ d
• On the impossibility of certain inequalities between function norms

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