2 papers
math.SP2007★ 18 cited
On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a Self-Adjoint Operator
Mark S. Ashbaugh, Lotfi Hermi
We produce a new proof and extend results by Harrell and Stubbe for the discrete spectrum of a self-adjoint operator. An abstract approach--based on commutator algebra, the Rayleig…
math.SP2000
Isoperimetric and Universal Inequalities for Eigenvalues
Mark S. Ashbaugh
This paper reviews many of the known inequalities for the eigenvalues of the Laplacian and bi-Laplacian on bounded domains in Euclidean space. In particular, we focus on isoperimet…