L\(^1\) approximation of discontinuous functions with interpolation constraints

DOI10.1016/0022-247X(74)90287-XzbMath0282.41010MaRDI QIDQ1843927

M. P. Carroll

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (4)

The use of piecewise polynomial interpolation to generate best L₁approximates ⋮ Uniqueness of an algebraic polynomial of best approximation in the \(L_ 1 \)metric ⋮ On approximation of discontinuous functions in L-metric ⋮ Uniqueness of the polynomial of best \(L\)-approximation of discontinuous functions

Cites Work

• Sur l'approximation uniforme avec des noeuds
• Approximation in the Metric of L 1 (X,μ)
• A Moment Problem in L 1 Approximation
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