Results 31 to 40 of about 7,254,043 (273)
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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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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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 by Complex Perturbed Bernstein-Type Operators
Results in Mathematics, 2020 The authors introduce the complex form of the perturbed Bernstein operators attached to analytic functions \(f:D_R\to\mathbb{C}\), where \(D_R=\{z\in\mathbb{C}\, \vert\, \vert z \vert < 1 \}\) and \(R>1\). Quantitative estimates of the convergence in compact disks and the exact degree of simultaneous approximation are established.
Ana-Maria Acu, Gülen Başcanbaz-Tunca
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A new class of Bernstein-type operators obtained by iteration [PDF]
, 2023 A new class of Bernstein-type operators are obtained by applying an iterative method of modifications starting from the Bernstein operators. These operators have good properties of approximation of functions and of their derivatives.
Radu Paltanea +3 more
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Approximation properties of the new type generalized Bernstein-Kantorovich operators
, 2022 In this paper, we introduce new type of generalized Kantorovich variant of alpha-Bernstein operators and study their approximation properties. We obtain estimates of rate of convergence involving first and second order modulus of continuity and Lipschitz
Kara, Mustafa
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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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Approximation Properties of King Type -Bernstein Operators
, 2019 The present paper deals mainly with a King type modification of -Bernstein operators. By improving the conditions given in Mursaleen et al. (On (p, q)-analogue of Bernstein operators. Appl Math Comput 266:874-882, 2015a), we investigate the Korovkin type
Dalmanoglu, Ozge, ÖRKCÜ, MEDİHA
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