Trigonometric polynomial approximation in the \(L^1\)-norm

DOI10.1007/BF01214840zbMath0404.41003MaRDI QIDQ1256672

Franz Peherstorfer

Publication date: 1979

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172895

zbMATH Keywords

Solotareff-ProblemTrigonometric Polynomial Approximation

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation by polynomials (41A10)

Related Items (4)

Explicit generalized Zolotarev polynomials with complex coefficients ⋮ Best \(L_{1}\) approximation of Heaviside-type functions from Chebyshev and weak-Chebyshev spaces ⋮ On the connection of Posse's \(L_ 1\)- and Zolotarev's maximum-norm problem ⋮ On an extremal problem for nonnegative trigonometric polynomials and the characterization of positive quadrature formulas with Chebyshev weight function

Cites Work

• Best and partial best \(L_1\) approximations by polynomials to certain rational functions
• Approximation in the Metric of L 1 (X,μ)
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