scientific article

DOI10.1090/memo/1091zbMath1305.41009OpenAlexW4246453428MaRDI QIDQ2925659

Vilmos Totik

Publication date: 17 October 2014

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

Full work available at URL: https://doi.org/10.1090/memo/1091

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

approximationpolynomialsmoduli of smoothnessseveral variables\(K\)-functionalsstrong inequalities

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10)

Related Items (9)

𝐿^{𝑝}-Bernstein inequalities on 𝐶²-domains and applications to discretization ⋮ Problems and conjectures in approximation that I would like settled ⋮ Approximation and orthogonality in Sobolev spaces on a triangle ⋮ On the K-functional in learning theory ⋮ Bernstein inequality on conic domains and triangles ⋮ Approximation and localized polynomial frame on double hyperbolic and conic domains ⋮ Best polynomial approximation on the triangle ⋮ Approximation and localized polynomial frame on conic domains ⋮ Polynomial approximation in several variables

Cites Work

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• Sharp converse theorem of \(L^ p\)-polynomial approximation
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• Weighted approximation of functions on the unit sphere
• Generalized translation operator and approximation in several variables
• Fast decreasing polynomials
• On best polynomial approximation in \(L_ w^ 2 (S)\)
• The theory of multi-dimensional polynomial approximation
• Polynomial approximation in \(L_ p(S)\) for \(p>0\)
• Convexity, moduli of smoothness and a Jackson-type inequality
• Sharp Jackson inequalities
• Sharp Marchaud and converse inequalities in Orlicz spaces
• Equivalence of measures of smoothness in L_p(S^d-1), 1<p<∞
• A SURVEY OF POLYNOMIAL APPROXIMATION ON THE SPHERE
• Orthogonal polynomials for exponential weights

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