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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Best approximations in $ L\sp 1$ are near best in $ L\sp p,\ p<1$


Authors: Lawrence G. Brown and Bradley J. Lucier
Journal: Proc. Amer. Math. Soc. 120 (1994), 97-100
MSC: Primary 41A10; Secondary 41A50, 46E30
MathSciNet review: 1107269
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Abstract: We show that any best $ {L^1}$ polynomial approximation to a function $ f$ in $ {L^p},\,0 < p < 1$, is near best in $ {L^p}$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1107269-6
PII: S 0002-9939(1994)1107269-6
Keywords: Best approximation, $ {L^p}$ spaces
Article copyright: © Copyright 1994 American Mathematical Society