Cardinal t-Perfect Splines.

Abstract

Cardinal t-perfect splines are introduced here as cardinal splines of degree m with leading term in (nu,nu + 1) equal to (t sup nu)(x sup m), all nu, as a connection between cardinal monosplines (t = 1) and cardinal perfect splines (t = -1). A cardinal t-perfect spline of minimal t-norm is determined for various choices of m and of the number s of continuous derivatives of the spline. An extremum problem for t-perfect cardinal splines is solved.

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1975
Accession Number
ADA010050

Entities

People

  • Aashish Sharma
  • J. Tzimbalario

Organizations

  • University of Wisconsin–Madison

Tags

Readers

  • Analytical Mechanics
  • Approximation Theory.