Monotone Approximation by Splines
- 1 October 1977
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 8 (5), 891-905
- https://doi.org/10.1137/0508068
Abstract
We prove Jackson type estimates for the approximation of monotone nondecreasing functions by monotone nondecreasing splines with equally spaced knots. Our results are of the same order as the Jackson type estimates for unconstrained approximation by splines with equally spaced knots.Keywords
This publication has 8 references indexed in Scilit:
- Monotone Approximation by PolynomialsSIAM Journal on Mathematical Analysis, 1977
- Spline approximation by quasiinterpolantsJournal of Approximation Theory, 1973
- The Approximation of Continuous Functions by Positive Linear OperatorsLecture Notes in Mathematics, 1972
- On the Best Approximation of Continuous Functions by SplinesSIAM Journal on Numerical Analysis, 1970
- Classes characterized by best-possible approximation by spline functionsMathematical Notes, 1970
- An identity for spline functions with applications to variation-diminishing spline approximationJournal of Approximation Theory, 1970
- Degree of approximation by monotone polynomials IJournal of Approximation Theory, 1968
- On Pólya frequency functions IV: The fundamental spline functions and their limitsJournal d'Analyse Mathématique, 1966