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Best quasi-convex uniform approximation

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Publication:805957
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DOI10.1016/0022-247X(90)90101-KzbMath0729.41026MaRDI QIDQ805957

Yuesheng Xu, Stanley E. Weinstein

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

optimal knotsbest quasi-convex approximations


Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation by other special function classes (41A30)


Related Items (6)

A duality approach to regularized learning problems in Banach spaces ⋮ Duality and Lipschitzian selections in best approximation from nonconvex cones ⋮ Uniform approximation by a non-convex cone of continuous functions ⋮ A duality approach to best uniform convex approximation ⋮ Best piecewise monotone uniform approximation ⋮ Approximation complexity for piecewise monotone functions and real data



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On the characterization and computation of best monotone approximation in \(L_ p[0,1\) for \(1\leq p<\infty\)]
  • Quasi-convex optimization
  • Isotone optimization. II
  • Isotone optimization. I
  • O(n) algorithms for discrete n-point approximation by quasi-convex functions
  • Another Proof that Convex Functions are Locally Lipschitz


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