On The Construction of a Class of Smoothing Splines in Several Variables,
Abstract
Smoothing polynomial plines have been defined by I. J. Schoenberg. Generalizations of this notion have been given for example by M. Atteia and G. M. Nielson. In this report the author presents first the general abstract definition of the smoothing spline functions given by M. Atteia and describes the projection method of construction given by P. M. Anselone and P. J. Laurent. Then a certain type of smoothing spline in several variables are defined. Finally, a minimization property of the splines introduced above are studied. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1971
- Accession Number
- AD0728237
Entities
People
- Marie-jeanne Munteanu
Organizations
- University of Texas at Austin