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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Horizontal chords of the graph of a continuous function
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by Uwe Herzberg
Proc. Amer. Math. Soc. 49 (1975), 179-184
DOI: https://doi.org/10.1090/S0002-9939-1975-0357701-9

Abstract:

The continuous function $f$, defined on $[a,b]$, changing sign exactly $n$ times on $(a,b)$, and $f(a) = f(b) = 0$, has horizontal chords of every length $h < H$ with endpoints in $(a,b)$. We determine the largest such $H$ as a function of $n$.
References
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Bibliographic Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 49 (1975), 179-184
  • MSC: Primary 26A15
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0357701-9
  • MathSciNet review: 0357701