Interpolatory properties of best rational \(L_ 1\)-approximations

DOI10.1007/BF02075450zbMath0676.41018OpenAlexW1994199810MaRDI QIDQ1122722

Franz Peherstorfer, András Kroó

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf02075450

zbMATH Keywords

examplesbest \(L_ 1\) approximation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by rational functions (41A20) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Interpolation in approximation theory (41A05)

Related Items (5)

The Density of Alternation Points in Rational Approximation ⋮ On density of interpolation points, a Kadec-type theorem, and Saff's principle of contamination in \(L_ p\)-approximation ⋮ Distribution of alternation points in best rational approximations ⋮ Interpolatory properties of best \(L_ 2\)-approximants ⋮ On the asymptotic distribution of oscillation points in rational approximation

Cites Work

• Critical points in nonlinear \(L^ 1\) approximation
• On the representation of extremal functions in the \(L^1\)-norm
• Nonlinear \(L_1\) approximation of smooth functions
• Chebyshev Rank in L 1 -Approximation
• The Lipschitz constant of the operator of best approximation

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