Some pretty simple inequalities I

Some pretty simple inequalities I We show that a great variety of inequalities are best understood via an extrapolation principle: they hold true simply because they are valid on a small set of test sequences (or functions). The real challenge then is to determine the best constant. This invariably leads to interesting discussions of monotonicities of sequences. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Some pretty simple inequalities I

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Publisher
Springer Basel
Copyright
Copyright © 2014 by Springer Basel
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-014-0294-4
Publisher site
See Article on Publisher Site

Abstract

We show that a great variety of inequalities are best understood via an extrapolation principle: they hold true simply because they are valid on a small set of test sequences (or functions). The real challenge then is to determine the best constant. This invariably leads to interesting discussions of monotonicities of sequences.

Journal

PositivitySpringer Journals

Published: Jun 6, 2014

References

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