Approximation of continuously Gâteaux derivable functionals by Markov operators
The main purpose of this paper is to extend a classical quantitative result in approximation of continuously derivable functions on [a, b] by positive and linear operators, to the approximation by Markov operators of the real-valued functions defined and having a continuous Gateaux derivative on a c...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
1996-08-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
| Subjects: | |
| Online Access: | https://ictp.acad.ro/jnaat/journal/article/view/547 |
| _version_ | 1811291506826280960 |
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| author | S. G. Gal |
| author_facet | S. G. Gal |
| author_sort | S. G. Gal |
| collection | DOAJ |
| description | The main purpose of this paper is to extend a classical quantitative result in approximation of continuously derivable functions on [a, b] by positive and linear operators, to the approximation by Markov operators of the real-valued functions defined and having a continuous Gateaux derivative on a compact convex subset of a normed space. |
| first_indexed | 2024-04-13T04:30:29Z |
| format | Article |
| id | doaj.art-738ae299c65443a5a6ecc30b36a07d25 |
| institution | Directory Open Access Journal |
| issn | 2457-6794 2501-059X |
| language | English |
| last_indexed | 2024-04-13T04:30:29Z |
| publishDate | 1996-08-01 |
| publisher | Publishing House of the Romanian Academy |
| record_format | Article |
| series | Journal of Numerical Analysis and Approximation Theory |
| spelling | doaj.art-738ae299c65443a5a6ecc30b36a07d252022-12-22T03:02:21ZengPublishing House of the Romanian AcademyJournal of Numerical Analysis and Approximation Theory2457-67942501-059X1996-08-01251Approximation of continuously Gâteaux derivable functionals by Markov operatorsS. G. Gal0Universtiy of Oradea, RomaniaThe main purpose of this paper is to extend a classical quantitative result in approximation of continuously derivable functions on [a, b] by positive and linear operators, to the approximation by Markov operators of the real-valued functions defined and having a continuous Gateaux derivative on a compact convex subset of a normed space.https://ictp.acad.ro/jnaat/journal/article/view/547Markov operatorsGâteaux derivativenormed spaceBernstein-Lotosky-Schnabl operators |
| spellingShingle | S. G. Gal Approximation of continuously Gâteaux derivable functionals by Markov operators Journal of Numerical Analysis and Approximation Theory Markov operators Gâteaux derivative normed space Bernstein-Lotosky-Schnabl operators |
| title | Approximation of continuously Gâteaux derivable functionals by Markov operators |
| title_full | Approximation of continuously Gâteaux derivable functionals by Markov operators |
| title_fullStr | Approximation of continuously Gâteaux derivable functionals by Markov operators |
| title_full_unstemmed | Approximation of continuously Gâteaux derivable functionals by Markov operators |
| title_short | Approximation of continuously Gâteaux derivable functionals by Markov operators |
| title_sort | approximation of continuously gateaux derivable functionals by markov operators |
| topic | Markov operators Gâteaux derivative normed space Bernstein-Lotosky-Schnabl operators |
| url | https://ictp.acad.ro/jnaat/journal/article/view/547 |
| work_keys_str_mv | AT sggal approximationofcontinuouslygateauxderivablefunctionalsbymarkovoperators |