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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

An improvement theorem for Descartes systems


Author: Philip W. Smith
Journal: Proc. Amer. Math. Soc. 70 (1978), 26-30
MSC: Primary 41A50
DOI: https://doi.org/10.1090/S0002-9939-1978-0467118-7
MathSciNet review: 0467118
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Abstract: An improvement (or comparison) theorem is proved for certain linear combinations of functions from a Descartes system. This theorem can then be applied to prove a conjecture of Lorentz, as well as more general results.


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DOI: https://doi.org/10.1090/S0002-9939-1978-0467118-7
Keywords: Approximation, Descartes system
Article copyright: © Copyright 1978 American Mathematical Society