Best approximation in tensor product spaces

1980 ◽  
pp. 25-32 ◽  
Author(s):  
E. W. Cheney
Keyword(s):  
Tensor Product ◽  
Best Approximation ◽  
Product Spaces

scholarly journals Best approximation problems in tensor-product spaces

1982 ◽  
Vol 102 (2) ◽  
pp. 437-446 ◽  
Author(s):  
J. R. Respess ◽  
Elliott Cheney
Keyword(s):  
Tensor Product ◽  
Best Approximation ◽  
Product Spaces ◽  
Approximation Problems

Some best-approximation theorems in tensor-product spaces

1981 ◽  
Vol 89 (3) ◽  
pp. 385-390 ◽  
Author(s):  
W. A. Light ◽  
E. W. Cheney
Keyword(s):  
Tensor Product ◽  
Best Approximation ◽  
Product Form ◽  
Product Spaces ◽  
Approximation Theorems ◽  
Univariate Functions ◽  
Bivariate Function ◽  
Image Position

We begin by describing a concrete example from the class of problems to be considered. A continuous bivariate function f defined on the square |t| ≤ 1, |s| ≤ 1 is to be approximated by a tensor-product form involving univariate functions. For example, the approximation may be prescribed to have the formin which the Ti are the Tchebycheff polynomials, and the coefficient functions xi(t) and yi(s) are to be chosen to achieve a good or best approximation. Will a best approximation exist? If so, how can it be obtained?

scholarly journals Approximation with monotone norms in tensor product spaces

1992 ◽  
Vol 68 (2) ◽  
pp. 183-205 ◽  
Author(s):  
W.A Light ◽  
M.v Golitschek ◽  
E.W Cheney
Keyword(s):  
Tensor Product ◽  
Product Spaces

THE CHARACTERIZATION OF BEST APPROXIMATIONS IN TENSOR-PRODUCT SPACES

Analysis ◽  
1984 ◽  
Vol 4 (1-2) ◽  
pp. 1-26 ◽  
Author(s):  
W.A. Light ◽  
E.W. Cheney
Keyword(s):  
Tensor Product ◽  
Product Spaces ◽  
Best Approximations
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