On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators
We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of t...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/1035253 |
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| author | M. Mursaleen Abdullah Alotaibi Khursheed J. Ansari |
| author_facet | M. Mursaleen Abdullah Alotaibi Khursheed J. Ansari |
| author_sort | M. Mursaleen |
| collection | DOAJ |
| description | We propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of these new operators in terms of modulus of continuity are studied. |
| format | Article |
| id | doaj-art-c474e42317454a1fb103a36d1f20f0df |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c474e42317454a1fb103a36d1f20f0df2025-08-20T03:23:03ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/10352531035253On a Kantorovich Variant of (p,q)-Szász-Mirakjan OperatorsM. Mursaleen0Abdullah Alotaibi1Khursheed J. Ansari2Department of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaOperator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaWe propose a Kantorovich variant of (p,q)-analogue of Szász-Mirakjan operators. We establish the moments of the operators with the help of a recurrence relation that we have derived and then prove the basic convergence theorem. Next, the local approximation and weighted approximation properties of these new operators in terms of modulus of continuity are studied.http://dx.doi.org/10.1155/2016/1035253 |
| spellingShingle | M. Mursaleen Abdullah Alotaibi Khursheed J. Ansari On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators Journal of Function Spaces |
| title | On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators |
| title_full | On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators |
| title_fullStr | On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators |
| title_full_unstemmed | On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators |
| title_short | On a Kantorovich Variant of (p,q)-Szász-Mirakjan Operators |
| title_sort | on a kantorovich variant of p q szasz mirakjan operators |
| url | http://dx.doi.org/10.1155/2016/1035253 |
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