Relating coefficients of expansion of a function to its norm

DOI10.1016/j.jmaa.2016.07.002zbMath1348.42028OpenAlexW2467864014MaRDI QIDQ739529

Z. Ditzian

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.002

zbMATH Keywords

Christoffel functions\(L_p\) normHausdorff-Young, Hardy-Littlewood and Nikolskii inequalities

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (2)

Problems and conjectures in approximation that I would like settled ⋮ Expansion by orthogonal systems with respect to Freud weights related to Hardy spaces

Cites Work

• Unnamed Item
• Smoothness and best approximation with respect to Freud-type weights, a new approach
• On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\)
• Expansion by polynomials with respect to Freud-type weights
• Sharp Nikolskij inequalities with exponential weights
• Multivariate approximating averages.
• Optimal cubature formulas in weighted Besov spaces with \(A _{\infty }\) weights on multivariate domains
• Norm and smoothness of a function related to the coefficients of its expansion
• New moduli of smoothness on the unit ball, applications and computability
• Interpolation of Linear Operators
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Orthogonal polynomials for exponential weights

This page was built for publication: Relating coefficients of expansion of a function to its norm