Oscillatory behavior of orthogonal polynomials
It is shown that under fairly weak conditions on the measure the orthonormal polynomials have almost everywhere oscillatory behavior. A simple lower bound for the amplitude of oscillation is also given in terms of the measure and the equilibrium density of the support. This bound is also shown to be...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
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2020
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| Sorozat: | ACTA MATHEMATICA HUNGARICA
160 No. 2 |
| doi: | 10.1007/s10474-019-00990-x |
| mtmt: | 31431158 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/21006 |
| Tartalmi kivonat: | It is shown that under fairly weak conditions on the measure the orthonormal polynomials have almost everywhere oscillatory behavior. A simple lower bound for the amplitude of oscillation is also given in terms of the measure and the equilibrium density of the support. This bound is also shown to be exact in some situations. |
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| Terjedelem/Fizikai jellemzők: | 453-467 |
| ISSN: | 0236-5294 |