``Best'' interpolation, differentiation, and integration approximations on the Hardy space
Author:
Leon Winslow
Journal:
Math. Comp. 24 (1970), 523527
MSC:
Primary 30A78; Secondary 41A50
MathSciNet review:
0293309
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Abstract 
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Abstract: A general formula is developed which gives the "best" approximation for any linear functional on the Hardy space . Some "best" approximations are given for interpolation, differentiation, and integration and are compared to polynomial approximations.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00255718197002933095
PII:
S 00255718(1970)02933095
Keywords:
Approximation of linear functionals,
best approximations,
Hardy space ,
numerical interpolation,
numerical differentiation,
numerical integration,
analytic functions,
approximation by rational functions
Article copyright:
© Copyright 1970
American Mathematical Society
