Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators
We introduce summation-integral-type q-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem. Also we estimate the rate of convergence of these operators for functions of polynomial growth on t...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/614810 |
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| _version_ | 1832558743789764608 |
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| author | Mei-Ying Ren Xiao-Ming Zeng |
| author_facet | Mei-Ying Ren Xiao-Ming Zeng |
| author_sort | Mei-Ying Ren |
| collection | DOAJ |
| description | We introduce summation-integral-type q-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem. Also we estimate the rate of convergence of these operators for functions of polynomial growth on the interval [0,∞). |
| format | Article |
| id | doaj-art-9a0f016eb4204e1f99d6657195a4c483 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9a0f016eb4204e1f99d6657195a4c4832025-02-03T01:31:41ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/614810614810Approximation of the Summation-Integral-Type q-Szász-Mirakjan OperatorsMei-Ying Ren0Xiao-Ming Zeng1Department of Mathematics and Computer Science, Wuyi University, Wuyishan 354300, ChinaDepartment of Mathematics, Xiamen University, Xiamen 361005, ChinaWe introduce summation-integral-type q-Szász-Mirakjan operators and study approximation properties of these operators. We establish local approximation theorem. We give weighted approximation theorem. Also we estimate the rate of convergence of these operators for functions of polynomial growth on the interval [0,∞).http://dx.doi.org/10.1155/2012/614810 |
| spellingShingle | Mei-Ying Ren Xiao-Ming Zeng Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators Abstract and Applied Analysis |
| title | Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators |
| title_full | Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators |
| title_fullStr | Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators |
| title_full_unstemmed | Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators |
| title_short | Approximation of the Summation-Integral-Type q-Szász-Mirakjan Operators |
| title_sort | approximation of the summation integral type q szasz mirakjan operators |
| url | http://dx.doi.org/10.1155/2012/614810 |
| work_keys_str_mv | AT meiyingren approximationofthesummationintegraltypeqszaszmirakjanoperators AT xiaomingzeng approximationofthesummationintegraltypeqszaszmirakjanoperators |