Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers
In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximatio...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5511610 |
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| author | Abdullah Alotaibi |
| author_facet | Abdullah Alotaibi |
| author_sort | Abdullah Alotaibi |
| collection | DOAJ |
| description | In this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces. |
| format | Article |
| id | doaj-art-ceec002bcb6c4ba59f95dd61bc5f01d8 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-ceec002bcb6c4ba59f95dd61bc5f01d82025-02-03T06:05:45ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55116105511610Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-IntegersAbdullah Alotaibi0Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this article, our main purpose is to define the p,q-variant of Szász-Durrmeyer type operators with the help of Dunkl generalization generated by an exponential function. We estimate moments and establish some direct results of the aforementioned operators. Moreover, we establish some approximation results in weighted spaces.http://dx.doi.org/10.1155/2021/5511610 |
| spellingShingle | Abdullah Alotaibi Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers Journal of Function Spaces |
| title | Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers |
| title_full | Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers |
| title_fullStr | Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers |
| title_full_unstemmed | Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers |
| title_short | Approximation of Functions by Dunkl-Type Generalization of Szász-Durrmeyer Operators Based on p,q-Integers |
| title_sort | approximation of functions by dunkl type generalization of szasz durrmeyer operators based on p q integers |
| url | http://dx.doi.org/10.1155/2021/5511610 |
| work_keys_str_mv | AT abdullahalotaibi approximationoffunctionsbydunkltypegeneralizationofszaszdurrmeyeroperatorsbasedonpqintegers |