On the asymptotically optimal rate of approximation of multiplier operators from \(L_p\) into \(L_q\)

DOI10.1007/s003659900068zbMath0901.41014OpenAlexW2005982394WikidataQ126778495 ScholiaQ126778495MaRDI QIDQ1384660

Alexander Kushpel, Jeremy Levesley, Klaus Wilderotter

Publication date: 17 November 1998

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s003659900068

zbMATH Keywords

widthconvolution operatormultiplier operatorLevy means

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Rate of convergence, degree of approximation (41A25) Multipliers in one variable harmonic analysis (42A45) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (11)

Widths and entropy of sets of smooth functions on compact homogeneous manifolds ⋮ Optimal recovery and volume estimates ⋮ Estimates for entropy numbers of multiplier operators of multiple series ⋮ Entropy and widths of multiplier operators on two-point homogeneous spaces ⋮ Best \(m\)-term one-sided trigonometric approximation of some function classes defined by a kind of multipliers ⋮ Estimates for \(n\)-widths of sets of smooth functions on the torus \(\mathbb{T}^d\) ⋮ The radii of sections of origin-symmetric convex bodies and their applications ⋮ On the optimality of the trigonometric system ⋮ Estimates for \(n\)-widths of multiplier operators of multiple Walsh series ⋮ Lower bounds of cowidths and widths of multiplier operators ⋮ Optimal approximation on \(S^d\)

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