Best and partial best \(L_1\) approximations by polynomials to certain rational functions

DOI10.1016/0021-9045(75)90113-6zbMath0317.41024OpenAlexW2060120448MaRDI QIDQ1221873

J. H. Freilich

Publication date: 1975

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(75)90113-6

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by polynomials (41A10)

Related Items (6)

Best \(L_ 1\)-approximation by polynomials ⋮ Trigonometric polynomial approximation in the L1-norm ⋮ Best uniform polynomial approximation to certain rational functions ⋮ On the representation of extremal functions in the \(L^1\)-norm ⋮ A remark on best \(L^ 1\)-approximation by polynomials ⋮ Trigonometric polynomial approximation in the \(L^1\)-norm

Cites Work

• Polynomials of best uniform approximation to certain rational functions
• Approximation in the Metric of L 1 (X,μ)
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