Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators
In the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dn(α,β)(f,x). We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2012-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X12000132 |
| _version_ | 1818596953100910592 |
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| author | Vijay Gupta D.K. Verma P.N. Agrawal |
| author_facet | Vijay Gupta D.K. Verma P.N. Agrawal |
| author_sort | Vijay Gupta |
| collection | DOAJ |
| description | In the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dn(α,β)(f,x). We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function. |
| first_indexed | 2024-12-16T11:40:06Z |
| format | Article |
| id | doaj.art-59403ff00ec7410b834f7972535311e4 |
| institution | Directory Open Access Journal |
| issn | 1110-256X |
| language | English |
| last_indexed | 2024-12-16T11:40:06Z |
| publishDate | 2012-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-59403ff00ec7410b834f7972535311e42022-12-21T22:32:58ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2012-10-0120318318710.1016/j.joems.2012.07.001Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operatorsVijay Gupta0D.K. Verma1P.N. Agrawal2School of Applied Sciences, Netaji Subhash Institute of Technology Sector 3 Dwarka, New Delhi 110 078, IndiaDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, IndiaDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247 667, IndiaIn the present paper, we establish some direct results in simultaneous approximation for Baskakov–Durrmeyer–Stancu (abbr. BDS) operators Dn(α,β)(f,x). We establish point-wise convergence, Voronovskaja type asymptotic formula and an error estimate in terms of second order modulus of continuity of the function.http://www.sciencedirect.com/science/article/pii/S1110256X12000132BDS operatorsPoint-wise convergenceVoronovskaja type asymptotic formulaError estimationSimultaneous approximation |
| spellingShingle | Vijay Gupta D.K. Verma P.N. Agrawal Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators Journal of the Egyptian Mathematical Society BDS operators Point-wise convergence Voronovskaja type asymptotic formula Error estimation Simultaneous approximation |
| title | Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators |
| title_full | Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators |
| title_fullStr | Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators |
| title_full_unstemmed | Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators |
| title_short | Simultaneous approximation by certain Baskakov–Durrmeyer–Stancu operators |
| title_sort | simultaneous approximation by certain baskakov durrmeyer stancu operators |
| topic | BDS operators Point-wise convergence Voronovskaja type asymptotic formula Error estimation Simultaneous approximation |
| url | http://www.sciencedirect.com/science/article/pii/S1110256X12000132 |
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