On Descartes’ rule for polynomials with two variations of signs
Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots co...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Cheriha, Hassen [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2020 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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| Übergeordnetes Werk: |
Enthalten in: Lithuanian mathematical journal - Springer US, 1975, 60(2020), 4 vom: 26. Aug., Seite 456-469 |
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| Übergeordnetes Werk: |
volume:60 ; year:2020 ; number:4 ; day:26 ; month:08 ; pages:456-469 |
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| DOI / URN: |
10.1007/s10986-020-09491-9 |
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| 520 | |a Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. | ||
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10.1007/s10986-020-09491-9 doi (DE-627)OLC2121128174 (DE-He213)s10986-020-09491-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Cheriha, Hassen verfasserin aut On Descartes’ rule for polynomials with two variations of signs 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. real polynomial in one variable Descartes’ rule of signs sign pattern Gati, Yousra aut Kostov, Vladimir Petrov aut Enthalten in Lithuanian mathematical journal Springer US, 1975 60(2020), 4 vom: 26. Aug., Seite 456-469 (DE-627)130618624 (DE-600)795211-9 (DE-576)016125312 0363-1672 nnns volume:60 year:2020 number:4 day:26 month:08 pages:456-469 https://doi.org/10.1007/s10986-020-09491-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 60 2020 4 26 08 456-469 |
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10.1007/s10986-020-09491-9 doi (DE-627)OLC2121128174 (DE-He213)s10986-020-09491-9-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Cheriha, Hassen verfasserin aut On Descartes’ rule for polynomials with two variations of signs 2020 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. real polynomial in one variable Descartes’ rule of signs sign pattern Gati, Yousra aut Kostov, Vladimir Petrov aut Enthalten in Lithuanian mathematical journal Springer US, 1975 60(2020), 4 vom: 26. Aug., Seite 456-469 (DE-627)130618624 (DE-600)795211-9 (DE-576)016125312 0363-1672 nnns volume:60 year:2020 number:4 day:26 month:08 pages:456-469 https://doi.org/10.1007/s10986-020-09491-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 60 2020 4 26 08 456-469 |
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Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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Abstract For sequences of d + 1 signs + and − beginning with a + and having exactly two variations of sign, we give some sufficient conditions for the (non)existence of degree d real univariate polynomials with such signs of the coefficients and having given numbers of positive and negative roots compatible with Descartes’ rule of signs. © Springer Science+Business Media, LLC, part of Springer Nature 2020 |
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