We consider exponential weights of the form w :=e &Q on (&1, 1) where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove Jackson theorems in weighted L p spaces with norm & fw& Lp(&1,
✦ LIBER ✦
Polynomial inequalities and embedding theorems with exponential weights on (−1,1)
✍ Scribed by I. Notarangelo
- Publisher
- Akadmiai Kiad
- Year
- 2011
- Tongue
- English
- Weight
- 637 KB
- Volume
- 134
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Forward and Converse Theorems of Polynom
Forward and Converse Theorems of Polynomial Approximation for Exponential Weights on [−1, 1], I
✍
D.S. Lubinsky
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 522 KB
Forward and Converse Theorems of Polynom
✍
D.S. Lubinsky
📂
Article
📅
1997
🏛
Elsevier Science
🌐
English
⚖ 506 KB
We consider exponential weights of the form w :=e &Q on [&1, 1] where Q(x) is even and grows faster than (1&x 2 ) &$ near \1, some $>0. For example, we can take where exp k denotes the kth iterated exponential and exp 0 (x)=x. We prove converse theorems of polynomial approximation in weighted L p s
Gaussian quadrature rules with exponenti
✍
M. C. De Bonis; G. Mastroianni; I. Notarangelo
📂
Article
📅
2011
🏛
Springer-Verlag
🌐
English
⚖ 433 KB
A note on L1-approximations by exponenti
✍
D.D Ang; L Knopoff
📂
Article
📅
1972
🏛
Elsevier Science
🌐
English
⚖ 138 KB
Polynomials, Higher Order Sobolev Extens
✍
Guozhen Lu
📂
Article
📅
2000
🏛
Institute of Mathematics, Chinese Academy of Scien
🌐
English
⚖ 436 KB
On polynomial approximation with the wei
✍
G. Freud
📂
Article
📅
1973
🏛
Akadmiai Kiad
🌐
English
⚖ 322 KB