Rate of convergence of Szász-beta operators based on q-integers
The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obta...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-04-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0015/dema-2017-0015.xml?format=INT |
| _version_ | 1828346802546409472 |
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| author | Gupta Pooja Agrawal Purshottam Narain |
| author_facet | Gupta Pooja Agrawal Purshottam Narain |
| author_sort | Gupta Pooja |
| collection | DOAJ |
| description | The purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation. |
| first_indexed | 2024-04-14T00:31:08Z |
| format | Article |
| id | doaj.art-877b7044df6a43648e7a44edc015c7f6 |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-04-14T00:31:08Z |
| publishDate | 2017-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-877b7044df6a43648e7a44edc015c7f62022-12-22T02:22:32ZengDe GruyterDemonstratio Mathematica2391-46612017-04-0150113014310.1515/dema-2017-0015dema-2017-0015Rate of convergence of Szász-beta operators based on q-integersGupta Pooja0Agrawal Purshottam Narain1Department of Mathematics, IIT Roorkee, IndiaDepartment of Mathematics, IIT Roorkee, IndiaThe purpose of this paper is to establish the rate of convergence in terms of the weighted modulus of continuity and Lipschitz type maximal function for the q-Szász-beta operators. We also study the rate of A-statistical convergence. Lastly, we modify these operators using King type approach to obtain better approximation.http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0015/dema-2017-0015.xml?format=INTWeighted modulus of continuityLipschitz type maximal functionA-statistical convergence41A2526A1541A36 |
| spellingShingle | Gupta Pooja Agrawal Purshottam Narain Rate of convergence of Szász-beta operators based on q-integers Demonstratio Mathematica Weighted modulus of continuity Lipschitz type maximal function A-statistical convergence 41A25 26A15 41A36 |
| title | Rate of convergence of Szász-beta operators based on q-integers |
| title_full | Rate of convergence of Szász-beta operators based on q-integers |
| title_fullStr | Rate of convergence of Szász-beta operators based on q-integers |
| title_full_unstemmed | Rate of convergence of Szász-beta operators based on q-integers |
| title_short | Rate of convergence of Szász-beta operators based on q-integers |
| title_sort | rate of convergence of szasz beta operators based on q integers |
| topic | Weighted modulus of continuity Lipschitz type maximal function A-statistical convergence 41A25 26A15 41A36 |
| url | http://www.degruyter.com/view/j/dema.2017.50.issue-1/dema-2017-0015/dema-2017-0015.xml?format=INT |
| work_keys_str_mv | AT guptapooja rateofconvergenceofszaszbetaoperatorsbasedonqintegers AT agrawalpurshottamnarain rateofconvergenceofszaszbetaoperatorsbasedonqintegers |