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Proceedings of the American Mathematical Society

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

 
 

 

Existence of best $ n$-convex approximations


Author: D. Zwick
Journal: Proc. Amer. Math. Soc. 97 (1986), 273-276
MSC: Primary 41A25; Secondary 26A51
DOI: https://doi.org/10.1090/S0002-9939-1986-0835879-5
MathSciNet review: 835879
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Abstract: We prove that every function $ f$, continuous on a compact interval $ [a,b]$, has a continuous, best $ n$-convex approximation with respect to the uniform norm on $ [a,b]$.


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DOI: https://doi.org/10.1090/S0002-9939-1986-0835879-5
Article copyright: © Copyright 1986 American Mathematical Society

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