Finite rank approximations to integral operators which satisfy certain total positivity conditions
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Publication:1164226
DOI10.1016/0021-9045(82)90113-7zbMath0485.41022OpenAlexW2024018282MaRDI QIDQ1164226
Publication date: 1982
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(82)90113-7
General theory of linear operators (47A99) Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
Related Items (2)
Best approximation by periodic smooth functions (with an appendix by D. Davydov) ⋮ Error estimates for two-dimensional cross approximation
Cites Work
- Remarks on de la Vallée Poussin means and convex conformal maps of the circle
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- On n-widths of periodic functions
- Diameters of Sobolev classes and splines deviating least from zero
- Diameters of certain classes of differentiable periodic functions
- Some problems in the approximation of functions of two variables and n- widths of integral operators
- The fixed point theory of multi-valued mappings in topological vector spaces
- Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
- DIAMETERS OF SETS IN FUNCTION SPACES AND THE THEORY OF BEST APPROXIMATIONS
- On the Basis Problem in Normed Spaces
- The Borsuk-Ulam Theorem and Orthogonality in Normed Linear Spaces
- s-Numbers of operators in Banach spaces
- A Simple Proof of the Hobby-Rice Theorem
- On n-Widths in L ∞
- A Moment Problem in L 1 Approximation
- Total positivity and the exact \(n\)-width of certain sets in \(L^1\)
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