Bivariate Positive Operators in Polynomial Weighted Spaces
This paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums. With respect to these two new classes designed, we investigate their approximation properties in polynomial weigh...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/850760 |
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| _version_ | 1849400407124606976 |
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| author | Octavian Agratini |
| author_facet | Octavian Agratini |
| author_sort | Octavian Agratini |
| collection | DOAJ |
| description | This paper aims to two-dimensional extension of some univariate
positive approximation processes expressed by series. To be easier
to use, we also modify this extension into finite sums. With respect to these
two new classes designed, we investigate their approximation properties in
polynomial weighted spaces. The rate of convergence is established, and
special cases of our construction are highlighted. |
| format | Article |
| id | doaj-art-87d01989aeb74bb8bcc49b6fd30e02d3 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-87d01989aeb74bb8bcc49b6fd30e02d32025-08-20T03:38:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/850760850760Bivariate Positive Operators in Polynomial Weighted SpacesOctavian Agratini0Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Street Kogălniceanu 1, 400084 Cluj-Napoca, RomaniaThis paper aims to two-dimensional extension of some univariate positive approximation processes expressed by series. To be easier to use, we also modify this extension into finite sums. With respect to these two new classes designed, we investigate their approximation properties in polynomial weighted spaces. The rate of convergence is established, and special cases of our construction are highlighted.http://dx.doi.org/10.1155/2013/850760 |
| spellingShingle | Octavian Agratini Bivariate Positive Operators in Polynomial Weighted Spaces Abstract and Applied Analysis |
| title | Bivariate Positive Operators in Polynomial Weighted Spaces |
| title_full | Bivariate Positive Operators in Polynomial Weighted Spaces |
| title_fullStr | Bivariate Positive Operators in Polynomial Weighted Spaces |
| title_full_unstemmed | Bivariate Positive Operators in Polynomial Weighted Spaces |
| title_short | Bivariate Positive Operators in Polynomial Weighted Spaces |
| title_sort | bivariate positive operators in polynomial weighted spaces |
| url | http://dx.doi.org/10.1155/2013/850760 |
| work_keys_str_mv | AT octavianagratini bivariatepositiveoperatorsinpolynomialweightedspaces |