Constrained approximation by splines with free knots

1997 ◽  
Vol 37 (1) ◽  
pp. 105-137 ◽  
Author(s):  
Torsten Schütze ◽  
Hubert Schwetlick
Keyword(s):  
Constrained Approximation ◽  
Splines With Free Knots

NSM constrained approximation of Lipschitz functions from data

2010 ◽  
Vol 59 (7) ◽  
pp. 396-403 ◽  
Author(s):  
M. Canale ◽  
C. Novara ◽  
M. Milanese
Keyword(s):  
Lipschitz Functions ◽  
Constrained Approximation

scholarly journals Algorithms for piecewise polynomials and splines with free knots

1989 ◽  
Vol 53 (187) ◽  
pp. 235-235 ◽  
Author(s):  
G. Meinardus ◽  
G. N{ürnberger ◽  
M. Sommer ◽  
H. Strauss
Keyword(s):  
Piecewise Polynomials ◽  
Splines With Free Knots

Constrained Approximation with Jacobi Weights

2016 ◽  
Vol 68 (1) ◽  
pp. 109-128 ◽  
Author(s):  
Kirill Kopotun ◽  
Dany Leviatan ◽  
Igor Shevchuk
Keyword(s):  
Polynomial Approximation ◽  
Spline Approximation ◽  
Modulus Of Smoothness ◽  
Jacobi Weights ◽  
Jacobi Weight ◽  
Constrained Approximation ◽  
Monotone Polynomial Approximation

AbstractIn this paper, we prove that for ℓ = 1 or 2 the rate of best ℓ- monotone polynomial approximation in the Lp norm (1 ≤ p ≤) weighted by the Jacobi weight with , is bounded by an appropriate (ℓ + 1)-st modulus of smoothness with the same weight, and that this rate cannot be bounded by the (ℓ + 2)-nd modulus. Related results on constrained weighted spline approximation and applications of our estimates are also given.

scholarly journals Uniform approximation by generalized splines with free knots

1989 ◽  
Vol 59 (2) ◽  
pp. 150-169 ◽  
Author(s):  
G Nürnberger ◽  
L Schumaker ◽  
M Sommer ◽  
H Strauss
Keyword(s):  
Uniform Approximation ◽  
Splines With Free Knots
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