Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight
We introduce a new norm and a new K-functional Kφλ(f;t)w,λ. Using this K-functional, direct and inverse approximation theorems for the Baskakov operators with the Jacobi-type weight are obtained in this paper.
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/101852 |
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| _version_ | 1832553281212121088 |
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| author | Guo Feng |
| author_facet | Guo Feng |
| author_sort | Guo Feng |
| collection | DOAJ |
| description | We introduce a new norm and a new K-functional Kφλ(f;t)w,λ. Using this K-functional, direct and inverse approximation theorems for the Baskakov operators with the Jacobi-type weight are obtained in this paper. |
| format | Article |
| id | doaj-art-a6ab04e74a394a64af831d536e1c1743 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a6ab04e74a394a64af831d536e1c17432025-02-03T05:54:30ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/101852101852Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type WeightGuo Feng0School of Mathematics and Information Engineering, Taizhou University, Zhejiang, Taizhou 317000, ChinaWe introduce a new norm and a new K-functional Kφλ(f;t)w,λ. Using this K-functional, direct and inverse approximation theorems for the Baskakov operators with the Jacobi-type weight are obtained in this paper.http://dx.doi.org/10.1155/2011/101852 |
| spellingShingle | Guo Feng Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight Abstract and Applied Analysis |
| title | Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight |
| title_full | Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight |
| title_fullStr | Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight |
| title_full_unstemmed | Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight |
| title_short | Direct and Inverse Approximation Theorems for Baskakov Operators with the Jacobi-Type Weight |
| title_sort | direct and inverse approximation theorems for baskakov operators with the jacobi type weight |
| url | http://dx.doi.org/10.1155/2011/101852 |
| work_keys_str_mv | AT guofeng directandinverseapproximationtheoremsforbaskakovoperatorswiththejacobitypeweight |