About Some Linear Operators
Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/91781 |
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| _version_ | 1850232551877115904 |
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| author | Ovidiu T. Pop |
| author_facet | Ovidiu T. Pop |
| author_sort | Ovidiu T. Pop |
| collection | DOAJ |
| description | Using the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators. |
| format | Article |
| id | doaj-art-04c04a40ebea451586998f04d3f8167d |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-04c04a40ebea451586998f04d3f8167d2025-08-20T02:03:08ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/9178191781About Some Linear OperatorsOvidiu T. Pop0Department of Mathematics, National College “Mihai Eminescu”, 5 Mihai Eminescu Street, Satu Mare 440014, RomaniaUsing the method of Jakimovski and Leviatan from their work in 1969, we construct a general class of linear positive operators. We study the convergence, the evaluation for the rate of convergence in terms of the first modulus of smoothness and we give a Voronovskaja-type theorem for these operators.http://dx.doi.org/10.1155/2007/91781 |
| spellingShingle | Ovidiu T. Pop About Some Linear Operators International Journal of Mathematics and Mathematical Sciences |
| title | About Some Linear Operators |
| title_full | About Some Linear Operators |
| title_fullStr | About Some Linear Operators |
| title_full_unstemmed | About Some Linear Operators |
| title_short | About Some Linear Operators |
| title_sort | about some linear operators |
| url | http://dx.doi.org/10.1155/2007/91781 |
| work_keys_str_mv | AT ovidiutpop aboutsomelinearoperators |