Generalized p,q-Gamma-type operators
In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Also, the rate of...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/8978121 |
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| _version_ | 1832559976181137408 |
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| author | Wen-Tao Cheng Qing-Bo Cai |
| author_facet | Wen-Tao Cheng Qing-Bo Cai |
| author_sort | Wen-Tao Cheng |
| collection | DOAJ |
| description | In the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented. |
| format | Article |
| id | doaj-art-69d19ce0a50f4d79a1faf856b17aade9 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-69d19ce0a50f4d79a1faf856b17aade92025-02-03T01:28:43ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/89781218978121Generalized p,q-Gamma-type operatorsWen-Tao Cheng0Qing-Bo Cai1School of Mathematics and Physics, Anqing Normal University, Anhui 246133, ChinaSchool of Mathematics and Computer Science, Quanzhou Normal University, Quanzhou 362000, ChinaIn the present paper, the generalized p,q-gamma-type operators based on p,q-calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre K-functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented.http://dx.doi.org/10.1155/2020/8978121 |
| spellingShingle | Wen-Tao Cheng Qing-Bo Cai Generalized p,q-Gamma-type operators Journal of Function Spaces |
| title | Generalized p,q-Gamma-type operators |
| title_full | Generalized p,q-Gamma-type operators |
| title_fullStr | Generalized p,q-Gamma-type operators |
| title_full_unstemmed | Generalized p,q-Gamma-type operators |
| title_short | Generalized p,q-Gamma-type operators |
| title_sort | generalized p q gamma type operators |
| url | http://dx.doi.org/10.1155/2020/8978121 |
| work_keys_str_mv | AT wentaocheng generalizedpqgammatypeoperators AT qingbocai generalizedpqgammatypeoperators |