Results 11 to 20 of about 991 (95)

Iterates of a modified Bernstein type operator

Journal of Numerical Analysis and Approximation Theory, 2019
Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
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On Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

Journal of Function Spaces, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
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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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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, Wen-Tao Cheng, Feng-Lin Chen, Yong-Hui Zhou   +3 more
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Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

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, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
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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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Approximation properties of Chlodowsky variant of ( p , q ) $(p,q)$ Bernstein-Stancu-Schurer operators

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, M Mursaleen, Shikha Pandey, Abdullah Alotaibi   +3 more
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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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Blending type approximation by GBS $GBS$ operators of bivariate tensor product of λ-Bernstein–Kantorovich type

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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Chlodowsky variant of Bernstein-type operators on the domain

Open Mathematics
In the present paper, we deal with Bernstein-Chlodowsky type operators for approximating functions on the domain. We first present Bernstein-Chlodowsky type operators in two variables and then we discuss some examples of these operators under a domain ...
Serenbay Sevilay Kırcı, Karaman Rabia Aktaş   +1 more
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