On n-Widths in L ∞

DOI10.2307/1997997zbMath0412.41018OpenAlexW2313533920MaRDI QIDQ4200645

Allan Pinkus, Charles A. Micchelli

Publication date: 1977

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

Full work available at URL: https://doi.org/10.2307/1997997

zbMATH Keywords

total positivityabstract approximationn-width

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (17)

Error estimates for two-dimensional cross approximation ⋮ On n-widths of periodic functions ⋮ On n-widths and interpolation by polynomial splines ⋮ Matrices and n-widths ⋮ On discrete \(\ell ^{1}\)-regularization ⋮ Approximation of differentiable and analytic functions by splines on the torus ⋮ On best rank \(n\) matrix approximations ⋮ Finite rank approximations to integral operators which satisfy certain total positivity conditions ⋮ The fundamental theorem of algebra and the interpolating envelope for totally positive perfect splines ⋮ Optimal spline spaces of higher degree for \(L^2\) \(n\)-widths ⋮ Some problems in the approximation of functions of two variables and n- widths of integral operators ⋮ Optimal spline spaces for \(L^2\ n\)-width problems with boundary conditions ⋮ Generalised sk-spline interpolation on compact abelian groups ⋮ Approximation of sign-regular kernels ⋮ Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximations and n- widths of integral operators ⋮ Some extremal problems for strictly totally positive matrices ⋮ n-widths of Sobolev spaces in \(L^ p\)

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