Moment Theory for Weak Chebyshev Systems with Applications to Monosplines, Quadrature Formulae and Best One-Sided $L^1 $-Approximation by Spline Functions with Fixed Knots
Authors:
- C. A. MicchelliCMC. A. Micchelli
- Allan PinkusAPAllan Pinkus
- 1 April 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 8 (2) , 206-230
Abstract
The chief purpose of this paper is to present an alternative approach to results concerning the existence and uniqueness of monosplines which have a maximum number of zeros (the fundamental theorem of algebra for monosplines). In addition, we discuss the related problems of “double precision” quadrature formulae and one-sided $L^1 $-approximation by spline functions with fixed knots.Keywords
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