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《Mathematics in Practice and Theory》 2013-01
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Pointwise Approximation for Bernstein-Sikkema-Bezier Operators

LIU Guo-fen (College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang 050024,China)  
We give a pointwise equivalent approximation theorem for Bernstein-SikkemaBezier operators,by the method of inserting term we get the direct theorem,then use the general operators method to obtain the inverse theorem.
【Fund】: 国家自然科学基金(10801043)
【CateGory Index】: O177
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【Citations】
Chinese Journal Full-text Database 3 Hits
1 GUO Shun-sheng, LIU Guo-fen (College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050016);Pointwise Approximation for Szsz-Durrmeyer-Bzier Operators[J];Chinese Journal of Engineering Mathematics;2008-01
2 Liu Zhexin Department of Mathematics Henan University China;APPROXIMATION OF CONTINUOUS FUNCTIONS BY THE GENERALIZED BERNSTEIN-BEZIER POLYNOMIALS[J];逼近论及其应用(英文版);1986-04
3 LI SONG(Department of Mathematics, Wuhan Univeraity, Wuhan 430072);THE DIRECT AND INVERSE THEOREMS FOR BERNSTEIN-SIKKEMA OPERATORS[J];ACTA MATHEMATICAE APPLICATAE SINICA;1996-01
【Co-citations】
Chinese Journal Full-text Database 8 Hits
1 LI Ya-nan(Department of Basic Courses,Zhaoqing Science and Technology Polytechnic College,Zhaoqing 526114,China);The Direct and Inverse Theorems for Generalized Sikkema-Bernstein Operators[J];Journal of Gansu Lianhe University(Natural Science Edition);2011-02
2 MA Huilong~1 LU Min~2 1.Department of Mathematics and Computer Science,Ningxia Normal College,Guyuan,Ningxia 756000;2.College of Mathematics and Computer,Ningxia University,Yinchuan,Ningxia 750021;The Pointwise Approximation of Sikkema Operators[J];Journal of Ningxia Teachers University;2008-03
3 LIU Guo-fen1,YU Chang-long2(1.College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang Hebei 050024,China; 2.College of Sciences,Hebei University of Science and Technology,Shijiazhuang Hebei 050018,China);Pointwise weighted approximation by degree of Szsz-Bézier and Baskakov-Bézier operators[J];Journal of Hebei University of Science and Technology;2011-06
4 LI Cui-xiang~1,LIU Ya-na~2(1.College of Mathematics and Information Sciences,Hebei Normal University,Hebei Shijiazhuang 050016,China;2.Department of Mathematics,Shijiazhuang College,Hebei Shijiazhuang 050035,China);Approximation of Bernstein-Sikkema Operators and Their Derivatives[J];;2006-03
5 Gao Yi, Xue Yinchuan(School of Mathematics and Computer Science, Ningxia University,Yinchuan 750021,China);The Direct and Inverse Theorems for a Kind of Generalized Bernstein Operators[J];Journal of Ningxia University(Natural Science Edition);2005-01
6 Yang Ruyue (Cao FeilongDepartment of Mathematics & Computing Engineering,Ningxia University,750021,Yinchuan,China);WEIGHTED APPROXIMATION BY SIKKEMA POLYNOMIALS[J];Journal of Ningxia University(Natural Science Edition);1997-04
7 LIU Li-xia, GUO Shun-sheng, LIU Qiu-ju(College of Mathematics and Information Science, Hebei Normal University,Shijiazhuang 050016, China);Pointwise Approximation for Bernstein-Sikkema Operators[J];Journal of Sichuan University (Natural Science Edition);2004-03
8 Xiong Qingliang Cao Feilong (Shaoxing Lu Xun′s College, Zhejiang 312000) (Dept of Math., Ningxia Univ., Yinchuan 750021);Approximation of Bernstein Sikkema Operators[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1999-S1
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