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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Best uniform approximation by bounded analytic functions
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by M. Papadimitrakis
Proc. Amer. Math. Soc. 103 (1988), 882-886
DOI: https://doi.org/10.1090/S0002-9939-1988-0947674-9

Abstract:

This paper gives a counterexample to the conjecture that the continuity of the conjugate $\tilde f$ of an $f \in C\left ( T \right )$ implies the continuity of the best uniform approximation $g \in {H^\infty }\left ( T \right )$ of $f$. It also states two conditions which imply the continuity of $g$.
References
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Bibliographic Information
  • © Copyright 1988 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 103 (1988), 882-886
  • MSC: Primary 30E10; Secondary 30D50, 41A50
  • DOI: https://doi.org/10.1090/S0002-9939-1988-0947674-9
  • MathSciNet review: 947674