The B-spline recurrence relations of Chakalov and of Popoviciu

  • Authors:

  • Carl de Boor;Allan Pinkus

  • Affiliations:

  • Department of Computer Sciences, University of Wisconsin-Madison, 1210 W. Dayton St., Madison WI;Department of Mathematics, Technion, Haifa, Israel

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2003

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Abstract

We discuss the early history of B-splines with an arbitrary knot sequence, and of their recurrence relations. These seem to have first appeared in papers of Popoviciu and Chakalov from the 1930s.