Nonexistence of best alternating approximations with isolated extrema

DOI10.1016/0021-9045(82)90073-9zbMath0507.41022OpenAlexW1983481563MaRDI QIDQ1837356

Charles B. Dunham

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)90073-9

zbMATH Keywords

isolated pointsalternating familiesbest alternating approximationsisolated extrema

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)

Cites Work

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• Alternation in (weighted) ordinary rational approximation on a subset
• Chebyshev approximation with respect to a weight function
• On N-parameter and unisolvent families
• Approximation by alternating families on subsets
• Nonexistence of Best Alternating Approximations on Subsets
• Alternating Chebyshev Approximation with A Non-Continuous Weight Function
• Continuity of the varisolvent Chebyshev operator
• Approximation by Exponential-Polynomial Products on Finite Point Sets
• A Comparison of Algorithms for Rational l ∞ Approximation
• Alternating Chebyshev Approximation

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