Moduli of Monotonicity with Applications to Monotone Polynomial Approximation

1976 ◽  
Vol 7 (1) ◽  
pp. 117-130 ◽  
Author(s):  
Vasant A. Ubhaya
Keyword(s):  
Polynomial Approximation ◽  
Monotone Polynomial Approximation

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.

On monotone and doubly monotone polynomial approximation

1992 ◽  
Vol 59 (3-4) ◽  
pp. 395-399 ◽  
Author(s):  
S. G. Gal ◽  
J. Szabados
Keyword(s):  
Polynomial Approximation ◽  
Monotone Polynomial Approximation

scholarly journals Monotone polynomial approximation in $L^p$

1989 ◽  
Vol 19 (1) ◽  
pp. 231-242
Author(s):  
D. Leviatan
Keyword(s):  
Polynomial Approximation ◽  
Monotone Polynomial Approximation

Monotone polynomial approximation inL p space

1987 ◽  
Vol 3 (4) ◽  
pp. 315-326 ◽  
Author(s):  
Yu Xiangming
Keyword(s):  
Polynomial Approximation ◽  
Monotone Polynomial Approximation

scholarly journals Interpolatory pointwise estimates for monotone polynomial approximation

2018 ◽  
Vol 459 (2) ◽  
pp. 1260-1295 ◽  
Author(s):  
K.A. Kopotun ◽  
D. Leviatan ◽  
I.A. Shevchuk
Keyword(s):  
Polynomial Approximation ◽  
Pointwise Estimates ◽  
Monotone Polynomial Approximation

scholarly journals Pointwise estimates for monotone polynomial approximation

1985 ◽  
Vol 1 (1) ◽  
pp. 323-331 ◽  
Author(s):  
Ronald A. DeVore ◽  
Xiang Ming Yu
Keyword(s):  
Polynomial Approximation ◽  
Pointwise Estimates ◽  
Monotone Polynomial Approximation

scholarly journals Piecewise monotone polynomial approximation

1972 ◽  
Vol 172 ◽  
pp. 465-465 ◽  
Author(s):  
D. J. Newman ◽  
Eli Passow ◽  
Louis Raymon
Keyword(s):  
Polynomial Approximation ◽  
Piecewise Monotone ◽  
Monotone Polynomial Approximation

Nonlinear Piecewise Polynomial Approximation Beyond Besov Spaces

2001 ◽  
Author(s):  
Borislav Karaivanov ◽  
Pencho Petrushev
Keyword(s):  
Polynomial Approximation ◽  
Besov Spaces ◽  
Piecewise Polynomial ◽  
Piecewise Polynomial Approximation
Sign in / Sign up

Export Citation Format

Share Document