Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators
Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞).
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Language: | English |
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/546784 |
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author | Hee Sun Jung Ryozi Sakai |
author_facet | Hee Sun Jung Ryozi Sakai |
author_sort | Hee Sun Jung |
collection | DOAJ |
description | Lupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞). |
format | Article |
id | doaj-art-5016118d04df4fbcb67763a90fe21459 |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-5016118d04df4fbcb67763a90fe214592025-02-03T05:52:42ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/546784546784Approximation by Lupas-Type Operators and Szász-Mirakyan-Type OperatorsHee Sun Jung0Ryozi Sakai1Department of Mathematics Education, Sungkyunkwan University, Seoul 110-745, Republic of KoreaDepartment of Mathematics, Meijo University, Nagoya 468-8502, JapanLupas-type operators and Szász-Mirakyan-type operators are the modifications of Bernstein polynomials to infinite intervals. In this paper, we investigate the convergence of Lupas-type operators and Szász-Mirakyan-type operators on [0,∞).http://dx.doi.org/10.1155/2012/546784 |
spellingShingle | Hee Sun Jung Ryozi Sakai Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators Journal of Applied Mathematics |
title | Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators |
title_full | Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators |
title_fullStr | Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators |
title_full_unstemmed | Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators |
title_short | Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators |
title_sort | approximation by lupas type operators and szasz mirakyan type operators |
url | http://dx.doi.org/10.1155/2012/546784 |
work_keys_str_mv | AT heesunjung approximationbylupastypeoperatorsandszaszmirakyantypeoperators AT ryozisakai approximationbylupastypeoperatorsandszaszmirakyantypeoperators |