Some general Kantorovich type operators
A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence theorems are studied.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2012-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/973 |
| _version_ | 1811291486857199616 |
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| author | Petru I. Braica Ovidiu T. Pop |
| author_facet | Petru I. Braica Ovidiu T. Pop |
| author_sort | Petru I. Braica |
| collection | DOAJ |
| description | A general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence theorems are studied. |
| first_indexed | 2024-04-13T04:30:09Z |
| format | Article |
| id | doaj.art-16301bd150524001af40f5c7c249e3b3 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T04:30:09Z |
| publishDate | 2012-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-16301bd150524001af40f5c7c249e3b32022-12-22T03:02:21ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X2012-08-01412Some general Kantorovich type operatorsPetru I. Braica0Ovidiu T. Pop1Secondary School Grigore Moisil, Satu MareNational College "Mihai Eminescu", Satu MareA general class of linear and positive operators of Kantorovich-type is constructed. The operators of this type which preserve exactly two test functions from the set \(\{e_0, e_1, e_2\}\) are determined and their approximation properties and convergence theorems are studied.https://ictp.acad.ro/jnaat/journal/article/view/973Kantorovich operatorsapproximation and convergence theoremVoronovskaja-type theorem |
| spellingShingle | Petru I. Braica Ovidiu T. Pop Some general Kantorovich type operators Journal of Numerical Analysis and Approximation Theory Kantorovich operators approximation and convergence theorem Voronovskaja-type theorem |
| title | Some general Kantorovich type operators |
| title_full | Some general Kantorovich type operators |
| title_fullStr | Some general Kantorovich type operators |
| title_full_unstemmed | Some general Kantorovich type operators |
| title_short | Some general Kantorovich type operators |
| title_sort | some general kantorovich type operators |
| topic | Kantorovich operators approximation and convergence theorem Voronovskaja-type theorem |
| url | https://ictp.acad.ro/jnaat/journal/article/view/973 |
| work_keys_str_mv | AT petruibraica somegeneralkantorovichtypeoperators AT ovidiutpop somegeneralkantorovichtypeoperators |