Rational approximation and \(n\)-dimensional diameter

DOI10.1016/0021-9045(72)90001-9zbMath0234.30023OpenAlexW2067553500MaRDI QIDQ2551537

Harold Widom

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-9045(72)90001-9

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Related Items (30)

A generalized ADI iterative method ⋮ New solution of a problem of Kolmogorov on width asymptotics in holomorphic function spaces ⋮ Pluricapacity and approximation numbers of composition operators ⋮ Widths and optimal sampling in spaces of analytic functions ⋮ Approximation numbers of composition operators on weighted besov spaces of analytic functions ⋮ Asymptotics of Kolmogorov's \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko's problem) ⋮ Estimates of Kolmogorov's \(\varepsilon\)-entropy for compact sets of infinitely differentiable aperiodic functions (Babenko's problem) ⋮ Rational approximation to \(x^\alpha\) on \([0,1\)] ⋮ Numerical analytic continuation ⋮ Extendible bases and Kolmogorov problem on asymptotics of entropy and widths of some class of analytic functions ⋮ On the absolute \(\varepsilon \)-entropy of some compact set of infinitely differentiable periodic functions ⋮ On Kolmogorov's \({\epsilon}\)-entropy for a compact set of infinitely differentiable aperiodic functions (Babenko's problem) ⋮ Approximation and entropy numbers of composition operators ⋮ A spectral radius type formula for approximation numbers of composition operators ⋮ Fast decreasing rational functions ⋮ Asymptotics of Kolmogorov diameters for some classes of harmonic functions of spheroids ⋮ The absolute \({\varepsilon}\)-entropy of a compact set of infinitely differentiable aperiodic functions ⋮ Interfacial roughening in field theory ⋮ The interfacial profile in two-loop order ⋮ Proof of a conjecture of Zahariuta concerning a problem of Kolmogorov on the \(\epsilon\)-entropy ⋮ Profile and width of rough interfaces ⋮ Optimal quadrature for analytic functions ⋮ Estimates of n-diameters of some classes of functions analytic on Riemann surfaces ⋮ The maximum principle for multiple-valued analytic functions ⋮ Some examples of composition operators and their approximation numbers on the Hardy space of the bidisk ⋮ On approximation numbers of composition operators ⋮ The asymptotic distribution of zeros of minimal Blaschke products ⋮ Piecewise rational approximation to continuous functions with characteristic singularities ⋮ Faber-Erokhin basic functions in the neighborhood of several continua ⋮ Widths of the unit ball of \(H^ \infty\) in the weighted spaces \(L_ q(\mu)\)

Cites Work

• BEST LINEAR APPROXIMATIONS OF FUNCTIONS ANALYTICALLY CONTINUABLE FROM A GIVEN CONTINUUM INTO A GIVEN REGION
• Shorter Note: An Inequality for Rational Functions
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