The eigenstructure of some positive linear operators
Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous semigroups \((T(t))_{t\geq 0}\) expressed in terms of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2014-02-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/994 |
| _version_ | 1828363827533578240 |
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| author | Antonio Attalienti Ioan Raşa |
| author_facet | Antonio Attalienti Ioan Raşa |
| author_sort | Antonio Attalienti |
| collection | DOAJ |
| description | Of concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous semigroups \((T(t))_{t\geq 0}\) expressed in terms of iterates of the operators under consideration are obtained as well. All the analysis carried out herein turns out to be quite general and includes some applications to concrete cases of interest, related to the classical Beta, Stancu and Bernstein operators. |
| first_indexed | 2024-04-14T05:06:13Z |
| format | Article |
| id | doaj.art-3e769fcdf25c45e68568a9091c261cd4 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-14T05:06:13Z |
| publishDate | 2014-02-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-3e769fcdf25c45e68568a9091c261cd42022-12-22T02:10:41ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2014-02-01431The eigenstructure of some positive linear operatorsAntonio Attalienti0Ioan Raşa1University of BariTechnical University of Cluj-NapocaOf concern is the study of the eigenstructure of some classes of positive linear operators satisfying particular conditions. As a consequence, some results concerning the asymptotic behaviour as \(t\to +\infty\) of particular strongly continuous semigroups \((T(t))_{t\geq 0}\) expressed in terms of iterates of the operators under consideration are obtained as well. All the analysis carried out herein turns out to be quite general and includes some applications to concrete cases of interest, related to the classical Beta, Stancu and Bernstein operators.https://ictp.acad.ro/jnaat/journal/article/view/994positive linear operatorseigenvalues and eigenpolynomialsiterates and series of positive linear operatorsstrongly continuous semigroupsasymptotic behaviour |
| spellingShingle | Antonio Attalienti Ioan Raşa The eigenstructure of some positive linear operators Journal of Numerical Analysis and Approximation Theory positive linear operators eigenvalues and eigenpolynomials iterates and series of positive linear operators strongly continuous semigroups asymptotic behaviour |
| title | The eigenstructure of some positive linear operators |
| title_full | The eigenstructure of some positive linear operators |
| title_fullStr | The eigenstructure of some positive linear operators |
| title_full_unstemmed | The eigenstructure of some positive linear operators |
| title_short | The eigenstructure of some positive linear operators |
| title_sort | eigenstructure of some positive linear operators |
| topic | positive linear operators eigenvalues and eigenpolynomials iterates and series of positive linear operators strongly continuous semigroups asymptotic behaviour |
| url | https://ictp.acad.ro/jnaat/journal/article/view/994 |
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