Approximation by q-Post-Widder Operators Based on a New Parameter
The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K-functiona...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2024/4468538 |
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| _version_ | 1832565835076468736 |
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| author | Qiu Lin |
| author_facet | Qiu Lin |
| author_sort | Qiu Lin |
| collection | DOAJ |
| description | The purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K-functional are presented. Furthermore, the rate of convergence for these operators is obtained. Weighted approximation and the quantitative q-Voronovskaja type theorem are discussed. Finally, numerical illustrative examples have been given to show the convergence of these newly defined operators. |
| format | Article |
| id | doaj-art-0df513a7b16d4de08841adf4c7a0be80 |
| institution | Kabale University |
| issn | 1687-0409 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0df513a7b16d4de08841adf4c7a0be802025-02-03T01:06:27ZengWileyAbstract and Applied Analysis1687-04092024-01-01202410.1155/2024/4468538Approximation by q-Post-Widder Operators Based on a New ParameterQiu Lin0School of Mathematics and StatisticsThe purpose of this paper is to introduce q-Post–Widder operators based on a new parameter and study their approximation properties. The moments and central moments are investigated. And some local approximation properties of these operators by means of modulus of continuity and Peetre’s K-functional are presented. Furthermore, the rate of convergence for these operators is obtained. Weighted approximation and the quantitative q-Voronovskaja type theorem are discussed. Finally, numerical illustrative examples have been given to show the convergence of these newly defined operators.http://dx.doi.org/10.1155/2024/4468538 |
| spellingShingle | Qiu Lin Approximation by q-Post-Widder Operators Based on a New Parameter Abstract and Applied Analysis |
| title | Approximation by q-Post-Widder Operators Based on a New Parameter |
| title_full | Approximation by q-Post-Widder Operators Based on a New Parameter |
| title_fullStr | Approximation by q-Post-Widder Operators Based on a New Parameter |
| title_full_unstemmed | Approximation by q-Post-Widder Operators Based on a New Parameter |
| title_short | Approximation by q-Post-Widder Operators Based on a New Parameter |
| title_sort | approximation by q post widder operators based on a new parameter |
| url | http://dx.doi.org/10.1155/2024/4468538 |
| work_keys_str_mv | AT qiulin approximationbyqpostwidderoperatorsbasedonanewparameter |