As we know, the Chebyshev weight w(x)=(1&x 2 ) &1Â2 has the property: For each fixed n, the solutions of the extremal problem dx for every even m are the same. This paper proves that the Chebyshev weight is the only weight having this property (up to a linear transformation).
✦ LIBER ✦
On chebyshev quadrature and variance of quadrature formulas
✍ Scribed by Klaus-Jürgen Förster
- Publisher
- Springer Netherlands
- Year
- 1988
- Tongue
- English
- Weight
- 165 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0006-3835
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
On Turán Quadrature Formulas for the Che
✍
Guang Shi Ying
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 107 KB
On Gaussian Quadrature Formulas for the
✍
Ying Guang Shi
📂
Article
📅
1999
🏛
Elsevier Science
🌐
English
⚖ 126 KB
New interpolatory quadrature formulae wi
✍
Sotirios E. Notaris
📂
Article
📅
1998
🏛
Elsevier Science
🌐
English
⚖ 747 KB
We study interpolatory quadrature formulae, relative to the Legendre weight function on [-1, 1], having as nodes the zeros of any one of the four Chebyshev polynomials of degree n plus one of the points 1 or -1. In particular, we derive explicit formulae for the weights and examine their positivity,
Estimates for the variance of positive q
✍
Klaus-Jürgen Förster
📂
Article
📅
1995
🏛
Elsevier Science
🌐
English
⚖ 538 KB
Best quadrature formula on Sobolev class
✍
Congcong Xie
📂
Article
📅
2008
🏛
Elsevier Science
🌐
English
⚖ 218 KB
Automatic quadrature on Chebyshev points
✍
M. Geppini; F. Romani
📂
Article
📅
1988
🏛
Elsevier Science
🌐
English
⚖ 464 KB