In this paper we show that the best approximation of a convex function by convex algebraic polynomials in \(L_{p}, 1 \leqslant p<x\), is \(O\left(n^{-2 / p}\right)\). 1993 Academic Press. Inc.
β¦ LIBER β¦
Convex Polynomial Approximation in Lp (0 < p < 1)
β Scribed by R.A. Devore; D. Leviatan
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 177 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Approximation of a Convex Function by Co
β
M. Nikoltjevahedberg
π
Article
π
1993
π
Elsevier Science
π
English
β 276 KB
A Note on Simultaneous Polynomial Approx
β
Z. Ditzian
π
Article
π
1995
π
Elsevier Science
π
English
β 55 KB
In this note we will show that for \(0<p<1\) simultaneous polynomial approximation is not possible. "1995 Academic Press. Inc.
Discrete Nonlinear Lp Approximation, 0pβ€
β
Charles B. Dunham
π
Article
π
1982
π
John Wiley and Sons
π
English
β 230 KB
A Note on Convex Approximation in Lp
β
M. Nikoltjevahedberg; V. Operstein
π
Article
π
1995
π
Elsevier Science
π
English
β 116 KB
A convex function \(f\) given on \([-1,1]\) can be approximated in \(L_{r}, 1<p<x\). by convex polynomials \(P_{n}\) of degree at most \(n\) with the accuracy \(o\left(n^{-2 i p}\right)\). This follows from the estimate \(\left\|f-P_{n}\right\|_{p} \leqslant c \cdot n^{-2 / p} \cdot \omega_{2}^{\var
Polynomial Approximation in Ep(D) with 0
β
L.F. Zhong
π
Article
π
1993
π
Elsevier Science
π
English
β 276 KB
One-Sided Trigonometric Approximation in
β
Roman Taberski
π
Article
π
1985
π
John Wiley and Sons
π
English
β 271 KB