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Proceedings of the American Mathematical Society

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Approximation by rational functions

Author: Ronald A. DeVore
Journal: Proc. Amer. Math. Soc. 98 (1986), 601-604
MSC: Primary 41A20; Secondary 41A25, 41A63, 42B25
MathSciNet review: 861758
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Abstract: Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If $ f'$ is in $ L\log L$ on a finite interval, then $ f$ can be approximated in the uniform norm by rational functions of degree $ n$ to an error $ O(1/n)$ on that interval.

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Article copyright: © Copyright 1986 American Mathematical Society

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