Statistical approximation of modified Schurer-type q-Bernstein Kantorovich operators

被引:0
作者
Qiu Lin
机构
[1] Northeastern University at Qinhuangdao,School of Mathematics and Statistics
来源
Journal of Inequalities and Applications | / 2014卷
关键词
modified Schurer-type ; -Bernstein Kantorovich operators; local approximation; modulus of continuity; statistical approximation;
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学科分类号
摘要
New modified Schurer-type q-Bernstein Kantorovich operators are introduced. The local theorem and statistical Korovkin-type approximation properties of these operators are investigated. Furthermore, the rate of approximation is examined in terms of the modulus of continuity and the elements of Lipschitz class functions.
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[1]  
Phillips GM(1997)Bernstein polynomials based on the Ann. Numer. Math 4 511-518
[2]  
Gupta V(2008)-integers Appl. Math. Comput 197 172-178
[3]  
Maheshwari P(2012)Some approximation properties of Rend. Circ. Mat. Palermo 61 297-305
[4]  
Sharma D(2014)-Durrmeyer operators Appl. Math. Comput 226 765-776
[5]  
Agrawal PN(2002)Approximation by Rocky Mt. J. Math 32 129-138
[6]  
Sathish Kumar A(2009) Baskakov-Beta-Stancu operators Math. Comput. Model 49 1595-1606
[7]  
Sinha TAK(2010)Stancu type generalization of modified Schurer operators based on Math. Comput. Model 52 760-771
[8]  
Gadjiev AD(2011)-integers Bull. Malays. Math. Soc 34 465-474
[9]  
Orhan C(2011)Some approximation theorems via statistical convergence Appl. Math. Comput 217 7913-7919
[10]  
Ersan S(2013)Statistical approximation properties of Miskolc Math. Notes 14 191-200