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A Refinement of Carleman's Inequality

✍ Scribed by Horst Alzer


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
126 KB
Volume
95
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis


We prove a new sharpening of the inequality A detailed proof of (2) as well as many related results can be found in [3].


πŸ“œ SIMILAR VOLUMES


A Strengthened Carleman's Inequality
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In this paper, the results given in 2 have been generalized and a new simpler proof is given.

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In this paper, we obtain an improved discrete Wirtinger inequality associated with a nonlinear second order differential equation. We apply this result to prove a Bonnesen-style isoperimetric inequality for plane polygons and reinterpret the main theorem as a weighted exponential inequality.