On (p,q)-Analogue of Gamma Operators
In this paper, a kind of new analogue of Gamma type operators based on (p,q)-integers is introduced. The Voronovskaja type asymptotic formula of these operators is investigated. And some other results of these operators are studied by means of modulus of continuity and Peetre K-functional. Finally,...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/9607517 |
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| _version_ | 1832565538274934784 |
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| author | Wen-Tao Cheng Wen-Hui Zhang |
| author_facet | Wen-Tao Cheng Wen-Hui Zhang |
| author_sort | Wen-Tao Cheng |
| collection | DOAJ |
| description | In this paper, a kind of new analogue of Gamma type operators based on (p,q)-integers is introduced. The Voronovskaja type asymptotic formula of these operators is investigated. And some other results of these operators are studied by means of modulus of continuity and Peetre K-functional. Finally, some direct theorems concerned with the rate of convergence and the weighted approximation for these operators are also obtained. |
| format | Article |
| id | doaj-art-d80ed66da70641cc8576a094d5a6fb9f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d80ed66da70641cc8576a094d5a6fb9f2025-02-03T01:07:28ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/96075179607517On (p,q)-Analogue of Gamma OperatorsWen-Tao Cheng0Wen-Hui Zhang1School of Mathematical Sciences, Anqing Normal University, Anhui 246133, ChinaQingdao Hengxing University of Science and Technology, Shandong 266041, ChinaIn this paper, a kind of new analogue of Gamma type operators based on (p,q)-integers is introduced. The Voronovskaja type asymptotic formula of these operators is investigated. And some other results of these operators are studied by means of modulus of continuity and Peetre K-functional. Finally, some direct theorems concerned with the rate of convergence and the weighted approximation for these operators are also obtained.http://dx.doi.org/10.1155/2019/9607517 |
| spellingShingle | Wen-Tao Cheng Wen-Hui Zhang On (p,q)-Analogue of Gamma Operators Journal of Function Spaces |
| title | On (p,q)-Analogue of Gamma Operators |
| title_full | On (p,q)-Analogue of Gamma Operators |
| title_fullStr | On (p,q)-Analogue of Gamma Operators |
| title_full_unstemmed | On (p,q)-Analogue of Gamma Operators |
| title_short | On (p,q)-Analogue of Gamma Operators |
| title_sort | on p q analogue of gamma operators |
| url | http://dx.doi.org/10.1155/2019/9607517 |
| work_keys_str_mv | AT wentaocheng onpqanalogueofgammaoperators AT wenhuizhang onpqanalogueofgammaoperators |