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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Main Authors: Hee Sun Jung, Ryozi Sakai
Format: Article
Language:English
Published: Wiley 2012-01-01
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
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institution Kabale University
issn 1110-757X
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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
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AT ryozisakai approximationbylupastypeoperatorsandszaszmirakyantypeoperators