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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Existence of best $n$-convex approximations
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by D. Zwick PDF
Proc. Amer. Math. Soc. 97 (1986), 273-276 Request permission

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 $[a,b]$.
References
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • 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