Best \(L_ p\) approximation with multiple constraints for \(1\leq p<\infty\)
From MaRDI portal
Publication:757769
DOI10.1016/0021-9045(91)90114-PzbMath0723.41021OpenAlexW244577202MaRDI QIDQ757769
Yuesheng Xu, Stanley E. Weinstein, John J. Swetits
Publication date: 1991
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(91)90114-p
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) Approximation with constraints (41A29) Spline approximation (41A15)
Related Items (2)
Cites Work
- Best approximation by monotone functions
- Best approximation by continuous n-convex functions
- Multiply monotone functions and their Laplace transforms
- On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)]
- Some aspects of best n-convex approximations
- Recurrence formula for B-splines with respect to a class of differential operators
- Best mean approximation by splines satisfying generalized convexity constraints
- \(L_ p\)-approximation from nonconvex subsets of special classes of functions
- On the characterization of measures of the cone dual to a generalized convexity cone
- Generalized convexity cones
- A criterion for \(n\)-convexity
- Approximation in the mean by convex functions
- Characterizing Shape Preserving L 1 -Approximation
- Existence of Best n-Convex Approximations
- Another Proof that Convex Functions are Locally Lipschitz
- Seven Kinds of Convexity
- Applications of the Hahn-Banach Theorem in Approximation Theory
- Extremal positive splines with applications to interpolation and approximation by generalized convex functions
- What is the Laplace Transform?
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Best \(L_ p\) approximation with multiple constraints for \(1\leq p<\infty\)
