Unicity in one-sided \(L_ 1\)-approximation and quadrature formulae

DOI10.1016/0021-9045(85)90050-4zbMath0582.41021OpenAlexW2018307032MaRDI QIDQ1069080

Günther Nürnberger

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-9045(85)90050-4

zbMATH Keywords

quadrature formulapositive weightsbest one-sided \(L_ 1\)-approximationsglobal unicity

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Best approximation, Chebyshev systems (41A50) Uniqueness of best approximation (41A52) Approximate quadratures (41A55)

Related Items

The almost chebyshev property in linear semi-infinite programming

Cites Work

• Unicity of best one-sided L//1-approximations
• One-sided \(L^1\) approximation by splines with fixed knots
• Global unicity in semi-infinite optimization
• A Note on the Spectrum of the Time Structure Function
• Unicity of best one-sided L¹-approximations for certain classes of spline functions
• One-sided approximation of functions
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