Perfect splines of minimum norm for monotone norms and norms induced by inner products, with applications to tensor product approximations and n-widths of integral operators

Author:

Dyn Nira

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference15 articles.

1. Extremal Properties of the Polynomials of Best Approximation of a Continuous Function;Bernstein,1937

2. On the uniqueness of monosplines and perfect splines of least L1-and L2-norm;Braess;J. Analyse Math.,1982

3. A moment problem in L1 approximation;Hobby,1965

4. A. Jakimovski and D. C. Russell, Representation of continuous linear functional on a subspace of a countable Cartesian product of Banach spaces, Studia Math., to appear.

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On best rank n matrix approximations;Linear Algebra and its Applications;2012-11

2. Generalised sk-Spline Interpolation on Compact Abelian Groups;Journal of Approximation Theory;1999-04

3. A BIBLIOGRAPHY OF MULTIVARIATE APPROXIMATION;Topics in Multivariate Approximation;1987

4. Generalized monosplines and optimal approximation;Constructive Approximation;1985-12

5. On the uniqueness of monosplines and perfect splines of leastL 1-andL 2-norm;Journal d'Analyse Mathématique;1982-12

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