Polynomial approximation with an exponential weight in [-1,1] (revisiting some of Lubinsky's results)
Revisiting the results in [7], [8], we consider the polynomial approximation on (—1,1) with the weight w(x) = e~(1 x ' , a > 0. We introduce new moduli of smoothness, equivalent to suitable K-functionals, and we prove the Jackson theorem, also in its weaker form. Moreover, we state a new Be...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
|
| Sorozat: | Acta scientiarum mathematicarum
77 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16384 |
| LEADER | 01330nab a2200229 i 4500 | ||
|---|---|---|---|
| 001 | acta16384 | ||
| 005 | 20260309133524.0 | ||
| 008 | 161015s2011 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Mastroianni Giuseppe | |
| 245 | 1 | 0 | |a Polynomial approximation with an exponential weight in [-1,1] (revisiting some of Lubinsky's results) |h [elektronikus dokumentum] / |c Mastroianni Giuseppe |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2011 | ||
| 300 | |a 167-207 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 77 No. 1-2 | |
| 520 | 3 | |a Revisiting the results in [7], [8], we consider the polynomial approximation on (—1,1) with the weight w(x) = e~(1 x ' , a > 0. We introduce new moduli of smoothness, equivalent to suitable K-functionals, and we prove the Jackson theorem, also in its weaker form. Moreover, we state a new Bernstein inequality, which allows us to prove the Salem-Stechkin inequality. Finally, also the behaviour of the derivatives of the polynomials of best approximation is discussed. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika | ||
| 700 | 0 | 1 | |a Notarangelo Incoronata |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16384/1/math_077_numb_001_002_167-207.pdf |z Dokumentum-elérés |