| File | |
| Title |
Inequalities on Infinite Networks
|
| Creator |
Murakami Atsushi
Yamasaki Maretsugu
|
| Source Title |
島根大学総合理工学部紀要. シリーズB
|
| Volume | 33 |
| Start Page | 47 |
| End Page | 62 |
| Journal Identifire |
ISSN 13427121
|
| Descriptions |
Abstract
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.
|
| Subjects |
Infinite Network
Discrete Inequalities
Eigenvalue of Discrete Laplacian
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学総合理工学部
|
| Date of Issued | 2000-03 |
| Publish Type | Version of Record |
| Access Rights | open access |
| Relation |
[NCID]
AA11157123
|
