Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände
Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization of a proposition of Muller dealing with appro...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2015-12-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/1061 |
| _version_ | 1818529535949275136 |
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| author | Heiner Gonska |
| author_facet | Heiner Gonska |
| author_sort | Heiner Gonska |
| collection | DOAJ |
| description |
Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization of a proposition of Muller dealing with approximation in Banach function spaces.
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| first_indexed | 2024-12-11T17:08:07Z |
| format | Article |
| id | doaj.art-5ed01a2813dd46e39d099203fd2bff08 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-12-11T17:08:07Z |
| publishDate | 2015-12-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-5ed01a2813dd46e39d099203fd2bff082022-12-22T00:57:37ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2015-12-01441Sätze vom Bohman-Korovkin-Typ für lokalkonvexe VektorverbändeHeiner Gonska0University of Duisburg-Essen Two Korovkin-type theorems inspired by the work of Scheffold are given concerning the approximation of a continuous lattice homomorphism \(P\) by a sequence of certain positive linear operators \(T_n\). The first result is used to prove a generalization of a proposition of Muller dealing with approximation in Banach function spaces. https://ictp.acad.ro/jnaat/journal/article/view/1061Korovkin-type theoremapproximation of lattice homomorphismspositive linear operatorsBanach function spaces. |
| spellingShingle | Heiner Gonska Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände Journal of Numerical Analysis and Approximation Theory Korovkin-type theorem approximation of lattice homomorphisms positive linear operators Banach function spaces. |
| title | Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände |
| title_full | Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände |
| title_fullStr | Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände |
| title_full_unstemmed | Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände |
| title_short | Sätze vom Bohman-Korovkin-Typ für lokalkonvexe Vektorverbände |
| title_sort | satze vom bohman korovkin typ fur lokalkonvexe vektorverbande |
| topic | Korovkin-type theorem approximation of lattice homomorphisms positive linear operators Banach function spaces. |
| url | https://ictp.acad.ro/jnaat/journal/article/view/1061 |
| work_keys_str_mv | AT heinergonska satzevombohmankorovkintypfurlokalkonvexevektorverbande |