A Korovkin theorem in multivariate modular function spaces
In this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/863153 |
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| _version_ | 1832561106333204480 |
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| author | Carlo Bardaro Ilaria Mantellini |
| author_facet | Carlo Bardaro Ilaria Mantellini |
| author_sort | Carlo Bardaro |
| collection | DOAJ |
| description | In this paper a modular version of the classical Korovkin theorem
in multivariate modular function spaces is obtained and applications to some
multivariate discrete and integral operators, acting in Orlicz spaces, are given. |
| format | Article |
| id | doaj-art-a45173195d514014a352c2fd89b2066a |
| institution | Kabale University |
| issn | 0972-6802 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-a45173195d514014a352c2fd89b2066a2025-02-03T01:25:54ZengWileyJournal of Function Spaces and Applications0972-68022009-01-017210512010.1155/2009/863153A Korovkin theorem in multivariate modular function spacesCarlo Bardaro0Ilaria Mantellini1Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyDepartment of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123 Perugia, ItalyIn this paper a modular version of the classical Korovkin theorem in multivariate modular function spaces is obtained and applications to some multivariate discrete and integral operators, acting in Orlicz spaces, are given.http://dx.doi.org/10.1155/2009/863153 |
| spellingShingle | Carlo Bardaro Ilaria Mantellini A Korovkin theorem in multivariate modular function spaces Journal of Function Spaces and Applications |
| title | A Korovkin theorem in multivariate modular function spaces |
| title_full | A Korovkin theorem in multivariate modular function spaces |
| title_fullStr | A Korovkin theorem in multivariate modular function spaces |
| title_full_unstemmed | A Korovkin theorem in multivariate modular function spaces |
| title_short | A Korovkin theorem in multivariate modular function spaces |
| title_sort | korovkin theorem in multivariate modular function spaces |
| url | http://dx.doi.org/10.1155/2009/863153 |
| work_keys_str_mv | AT carlobardaro akorovkintheoreminmultivariatemodularfunctionspaces AT ilariamantellini akorovkintheoreminmultivariatemodularfunctionspaces AT carlobardaro korovkintheoreminmultivariatemodularfunctionspaces AT ilariamantellini korovkintheoreminmultivariatemodularfunctionspaces |