Article ID Journal Published Year Pages File Type
4598569 Linear Algebra and its Applications 2016 12 Pages PDF
Abstract

In this paper, two types of discrete Sobolev inequalities that correspond to the generalized graph Laplacian A   on a weighted Toeplitz graph are obtained. The sharp constants C0(a)C0(a) and C0C0 are calculated using the Green matrix G(a)=(A+aI)−1(0

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Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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Two types of discrete Sobolev inequalities on a weighted Toeplitz graph
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