On a problem of H.Shapiro
| dc.citation.epage | 232 | en_US |
| dc.citation.issueNumber | 2 | en_US |
| dc.citation.spage | 218 | en_US |
| dc.citation.volumeNumber | 126 | en_US |
| dc.contributor.author | Ostrovskii, I. | en_US |
| dc.contributor.author | Ulanovskii, A. | en_US |
| dc.date.accessioned | 2015-07-28T11:57:18Z | |
| dc.date.available | 2015-07-28T11:57:18Z | |
| dc.date.issued | 2004-02 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | Let μ be a real measure on the line such that its Poisson integral M(z) converges and satisfies M(x+ iy) ≤ Ae-cyα, y → + ∞, for some constants A, c > 0 and 0 < α ≤ 1. We show that for 1/2 < α ≤ 1 the measure μ must have many sign changes on both positive and negative rays. For 0 < α ≤ 1/2 this is true for at least one of the rays, and not always true for both rays. Asymptotical bounds for the number of sign changes are given which are sharp in some sense. © 2003 Elsevier Inc. All rights reserved. | en_US |
| dc.description.provenance | Made available in DSpace on 2015-07-28T11:57:18Z (GMT). No. of bitstreams: 1 10.1016-j.jat.2003.12.003.pdf: 265957 bytes, checksum: 5ca55300780f16c21db719cd4c7e9f71 (MD5) | en |
| dc.identifier.doi | 10.1016/j.jat.2003.12.003 | en_US |
| dc.identifier.issn | 0021-9045 | |
| dc.identifier.uri | http://hdl.handle.net/11693/11277 | |
| dc.language.iso | English | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1016/j.jat.2003.12.003 | en_US |
| dc.source.title | Journal of Approximation Theory | en_US |
| dc.subject | Oscillations | en_US |
| dc.subject | Poisson Integral | en_US |
| dc.subject | Sign Changes | en_US |
| dc.title | On a problem of H.Shapiro | en_US |
| dc.type | Article | en_US |
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