arXiv:1501.03230 Abstract | arXiv Analytics

arXiv:1501.03230 [math.PR]Abstract References Reviews Resources

The optimal constant in Hardy-type inequalities

Published 2015-01-14Version 1

To estimate the optimal constant in Hardy-type inequalities, some variational formulas and approximating procedures are introduced. The known basic estimates are improved considerably. The results are illustrated by typical examples. It is shown that the sharp factor is meaningful for each finite interval and a classical sharp model is re-examined.

Comments: 29 pages, 7 figures in Acta Mathematica Sinica, English Series 2015

Categories: math.PR, math.CA, math.FA

Subjects: 26D10, 60J60, 34L15

Keywords: hardy-type inequalities, optimal constant, variational formulas, classical sharp model, finite interval

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