Best \(L_ 1\)-approximation of bounded, approximately continuous functions on [0,1] by nondecreasing functions
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Publication:2266401
DOI10.1016/0021-9045(85)90125-XzbMath0561.41028OpenAlexW2056177876MaRDI QIDQ2266401
Robert Huotari, Richard B. Darst
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)90125-x
Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by other special function classes (41A30)
Related Items (11)
Best \(L_ 1\) approximation by convex functions ⋮ Simultaneous monotone approximation in low-order mean ⋮ Shape preserving approximations by polynomials and splines ⋮ On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)] ⋮ Construction of the best monotone approximation on \(L_ p[0,1\)] ⋮ On the monotone simultaneous approximation on [0, 1] ⋮ Best Simultaneous Monotone Approximants in Orlicz Spaces ⋮ Best approximation by monotone functions ⋮ Lipschitz condition in minimum norm problems on bounded functions ⋮ Best \(L_ 1\)-approximation of quasi continuous functions on [0,1 by nondecreasing functions] ⋮ Monotone approximation in several variables
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