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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Dimension of the graph of Riemann integrable functions


Author: James Foran
Journal: Proc. Amer. Math. Soc. 104 (1988), 219-220
MSC: Primary 28A75; Secondary 26A42
MathSciNet review: 958070
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Abstract: The Hausdorff $ h - m$ measure of the graph of a Riemann integrable function is shown to be finite provided $ h$ satisfies an inequality related to the rate of convergence of the upper and lower Riemann sums.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0958070-2
PII: S 0002-9939(1988)0958070-2
Keywords: Hausdorff measure, Riemann integral
Article copyright: © Copyright 1988 American Mathematical Society