Riemann's function has an exponential bound

Author:
Paul R. Beesack

Journal:
Proc. Amer. Math. Soc. **88** (1983), 313-316

MSC:
Primary 26D15; Secondary 35L99

DOI:
https://doi.org/10.1090/S0002-9939-1983-0695265-5

MathSciNet review:
695265

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Abstract: The Riemann function of a hyperbolic characteristic initial value problem has been much used in recent years to provide upper bounds for functions which satisfy Gronwall-type integral inequalities. This note gives a direct proof of the fact that satisfies an inequality of the form .

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DOI:
https://doi.org/10.1090/S0002-9939-1983-0695265-5

Article copyright:
© Copyright 1983
American Mathematical Society