Results 21 to 30 of about 1,061 (255)
On the Rates of Approximation of Bernstein Type Operators
Journal of Approximation Theory, 2001 The asymptotic behavior of two Bernstein-Type operators is studied. In the first case, the rate of convergence of a Bernstein operator for a bounded founction \(f\) is studied at points \(x\) where \(f(x+)\) and \(f(x-)\) exist. In the second case, the rate of convergence of a Szász operator for a function of \(f\) whose derivative is of bounded ...
Zeng, X. M., Cheng, F. F.
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On the Iterates of Some Bernstein-Type Operators
Journal of Mathematical Analysis and Applications, 1997 The authors establish two basic identities of functional type between the iterates of the Bleimann-Butzer-Hahn operator and those of the Bernstein operator, on the one hand, and the iterates of the modified Meyer-König and Zeller operator and those of the Baskakov operator, on the other.
Adell, José A +2 more
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Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights
Abstract and Applied Analysis, 2011 Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
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Mathematics, 2022 An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger +2 more
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Approximation Theorem for New Modification of q-Bernstein Operators on (0,1)
Journal of Function Spaces, 2021 In this work, we extend the works of F. Usta and construct new modified q-Bernstein operators using the second central moment of the q-Bernstein operators defined by G. M. Phillips.
Yun-Shun Wu +3 more
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Approximation by q-Bernstein type operators [PDF]
Czechoslovak Mathematical Journal, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Statistical Approximation of q-Bernstein-Schurer-Stancu-Kantorovich Operators
Journal of Applied Mathematics, 2014 We introduce two kinds of Kantorovich-type q-Bernstein-Schurer-Stancu operators. We first estimate moments of q-Bernstein-Schurer-Stancu-Kantorovich operators. We also establish the statistical approximation properties of these operators. Furthermore, we
Qiu Lin
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Journal of Inequalities and Applications, 2017 In the present paper, we introduce the Chlodowsky variant of ( p , q ) $(p,q)$ Bernstein-Stancu-Schurer operators which is a generalization of ( p , q ) $(p,q)$ Bernstein-Stancu-Schurer operators.
Vishnu Narayan Mishra +3 more
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Journal of Inequalities and Applications, 2018 In this paper, we introduce a family of GBS $GBS$ operators of bivariate tensor product of λ-Bernstein–Kantorovich type. We estimate the rate of convergence of such operators for B-continuous and B-differentiable functions by using the mixed modulus of ...
Qing-Bo Cai, Guorong Zhou
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Approximation by Lupas-Type Operators and Szász-Mirakyan-Type Operators
Journal of Applied Mathematics, 2012 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,∞).
Hee Sun Jung, Ryozi Sakai
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