Linear operators that preserve some test functions
The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem. Quantitative estimates of the rate of convergence are g...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/94136 |
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| _version_ | 1849309295907176448 |
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| author | Octavian Agratini |
| author_facet | Octavian Agratini |
| author_sort | Octavian Agratini |
| collection | DOAJ |
| description | The paper centers around a pair of sequences of linear positive
operators. The former has the degree of exactness one and the
latter has its degree of exactness null, but, as a novelty, it
reproduces the third test function of Korovkin theorem.
Quantitative estimates of the rate of convergence are given in
different function spaces traveling from classical approximation
to approximation in abstract spaces. Particular classes are also
studied. |
| format | Article |
| id | doaj-art-18eb9d53b5ff4d15b5ff466bd9116a1a |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-18eb9d53b5ff4d15b5ff466bd9116a1a2025-08-20T03:54:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9413694136Linear operators that preserve some test functionsOctavian Agratini0Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca 400084, RomaniaThe paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness one and the latter has its degree of exactness null, but, as a novelty, it reproduces the third test function of Korovkin theorem. Quantitative estimates of the rate of convergence are given in different function spaces traveling from classical approximation to approximation in abstract spaces. Particular classes are also studied.http://dx.doi.org/10.1155/IJMMS/2006/94136 |
| spellingShingle | Octavian Agratini Linear operators that preserve some test functions International Journal of Mathematics and Mathematical Sciences |
| title | Linear operators that preserve some test functions |
| title_full | Linear operators that preserve some test functions |
| title_fullStr | Linear operators that preserve some test functions |
| title_full_unstemmed | Linear operators that preserve some test functions |
| title_short | Linear operators that preserve some test functions |
| title_sort | linear operators that preserve some test functions |
| url | http://dx.doi.org/10.1155/IJMMS/2006/94136 |
| work_keys_str_mv | AT octavianagratini linearoperatorsthatpreservesometestfunctions |