``Best'' interpolation, differentiation, and integration approximations on the Hardy space

Author:
Leon Winslow

Journal:
Math. Comp. **24** (1970), 523-527

MSC:
Primary 30A78; Secondary 41A50

DOI:
https://doi.org/10.1090/S0025-5718-1970-0293309-5

MathSciNet review:
0293309

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0025-5718-1970-0293309-5

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