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Bounds for the best constant in Landau/s inequality on the line*

Published online by Cambridge University Press:  14 November 2011

Z. M. Franco ,
Hans G. Kaper ,
Man Kam Kwong  and
A. Zettl
Z. M. Franco
Affiliation:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, U.S.A
Hans G. Kaper
Affiliation:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, U.S.A
Man Kam Kwong
Affiliation:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, U.S.A
A. Zettl
Affiliation:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439, U.S.A
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Synopsis

Explicit formulae and numerical values for upper and lower bounds for the best constant in Landau/s inequality on the real line are given. For p > 3, the value of the upper bound is less than the value of the best constant conjectured by Gindler and Goldstein (J. Analyse Math. 28 (1975), 213–238).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 95 , Issue 3-4 , 1983 , pp. 257 - 262
Copyright
Copyright © Royal Society of Edinburgh 1983

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References

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