2000年
Inequalities on Infinite Networks
島根大学総合理工学部紀要. シリーズB
- ,
- 巻
- 33
- 号
- 開始ページ
- 47
- 終了ページ
- 62
- 記述言語
- 英語
- 掲載種別
- 出版者・発行元
- 島根大学
Inequalities on networks have played important roles in the theory of netwoks. We study several famous inequalities on networks such as Wirtinger's inequality, Hardy's inequality, Poincare-Sobolev's inequality and the strong isoperimetric inequality, etc. These inequalities are closely related to the smallest eigenvalue of weighted discrete Laplacian. We discuss some relations between these inequalities and the potential-theorerteic magnitude of the ideal boundary of an infinite network.
- リンク情報
- ID情報
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- ISSN : 1342-7121
- CiNii Articles ID : 110006939903
- CiNii Books ID : AA11157123