Two Extensions of the Sard-Schoenberg Theory of Best Approximation
Two Extensions of the Sard-Schoenberg Theory of Best Approximation
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Philadelphia: Society for Industrial and Applied Mathematics
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English
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Philadelphia: Society for Industrial and Applied Mathematics
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A linear functional J(f) defined on Cm - 1[ a, b ] can be approximated by appropriate linear combinations of function values f(xi) at discrete points x1, ⋯, xn∈ [ a, b ]. The problem of best approximation with respect to a given class of functions was posed by Sard [11] and solved for special classes by Schoenberg [12]. We give a simplified proof o...
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Two Extensions of the Sard-Schoenberg Theory of Best Approximation
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TN_cdi_proquest_journals_923638719
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_923638719
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ISSN
0036-1429
E-ISSN
1095-7170
DOI
10.1137/0711006
