Cardinal Interpolation and Spline Functions. II. Interpolation of Data of Power Growth.
Abstract
This is a supplement to the paper in J. of Approx. Theory, 2(1969), 167-206. The cardinal interpolation problem S(nu) = y sub nu (- infinity < nu < infinity) is shown to have a unique solution S(x) which is a cardinal spline function of degree m-1 and satisfying S(x) = O(absolute value of x) to the power s) as x approaches plus or minus infinfinity, iff y sub nu = O((absolute value of nu) to the power s) as v approaches plus or minus infinity. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1970
- Accession Number
- AD0725089
Entities
People
- Isaac Jacob Schoenberg
Organizations
- University of Wisconsin–Madison