The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials
| dc.contributor.author | Oleksik, Grzegorz | |
| dc.contributor.author | Różycki, Adam | |
| dc.date.accessioned | 2021-10-22T06:02:55Z | |
| dc.date.available | 2021-10-22T06:02:55Z | |
| dc.date.issued | 2018 | |
| dc.identifier.citation | Oleksik, G., Różycki, A. The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials. Bull Braz Math Soc, New Series 49, 743–759 (2018). https://doi.org/10.1007/s00574-018-0078-8 | pl_PL |
| dc.identifier.issn | 1678-7544 | |
| dc.identifier.uri | http://hdl.handle.net/11089/39501 | |
| dc.description.abstract | Let f be a real polynomial, non-negative at infinity with non-compact zero-set. Suppose that f is non-degenerate in the Kushnirenko sense at infinity. In this paper we give a formula for the Łojasiewicz exponent at infinity of f and a formula for the exponent of growth of f in terms of its Newton polyhedron. | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Nature | pl_PL |
| dc.relation.ispartofseries | Bulletin of the Brazilian Mathematical Society, New Series;49 | |
| dc.rights | Uznanie autorstwa 4.0 Międzynarodowe | * |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
| dc.subject | Kushnirenko nondegeneracy | pl_PL |
| dc.subject | Newton polyhedron | pl_PL |
| dc.subject | Łojasiewicz exponent | pl_PL |
| dc.title | The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 743–759 | pl_PL |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Lodz, S. Banacha 22, 90-238, Lodz, Poland | pl_PL |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science, University of Lodz, S. Banacha 22, 90-238, Lodz, Poland | pl_PL |
| dc.identifier.eissn | 1678-7714 | |
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| dc.identifier.doi | 10.1007/s00574-018-0078-8 | |
| dc.subject.msc | 14P10 | |
| dc.discipline | matematyka | pl_PL |
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