BOUNDS FOR EIGENVALUES OF AN INTEGRAL OPERATOR.
Abstract
The report illustrates the application of the method of intermediate problems for estimating the eigenvalues of integral operators. The method yields upper bounds to the positive eigenvalues of integral operators; lower bounds are obtained using the Rayleigh-Ritz procedure. Close bounds are given for eigenvalues of the operator with symmetric kernel K(x,y) = summation from i,j = 1 to i,j = infinity, of the quantity (sin ix sin jy/(i to the 4th power + j to the 4th power)). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1968
- Accession Number
- AD0668143
Entities
People
- J. T. Stadter
Organizations
- Johns Hopkins University Applied Physics Laboratory