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Descent methods in smooth, rotund spaces with applications to approximation in L\(^p\)

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Publication:1845159
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DOI10.1016/0022-247X(74)90223-6zbMath0284.41014MaRDI QIDQ1845159

Barbro Atlestam, Francis E. Sullivan

Publication date: 1974

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



Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)


Related Items (3)

The multi-dimensional von Neumann alternating direction search algorithm in \(C(B)\) and \(L_1\) ⋮ A generalization of best approximation operators ⋮ Approximating the permanent via importance sampling with application to the dimer covering problem



Cites Work

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  • Smoothness of approximation
  • Construction of nearest points in the \(L^ p\), p even, and \(L^ \infty\) norms. I
  • A course on optimization and best approximation
  • Orthogonality and Linear Functionals in Normed Linear Spaces


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