Results 1 to 10 of about 1,370 (242)

Approximation by the new modification of Bernstein-Stancu operators

Cumhuriyet Science Journal, 2021
The current paper deals with the new modification of Bernstein-Stancu operators which preserve constant and Korovkin’s other test functions in limit case. We study the uniform convergence of the newly defined operators.
Melek Sofyalıoğlu, Kadir Kanat
doaj  

(p,q)-Bivariate-Bernstein-Chlodowsky operators

Filomat, 2018
In this article, we construct Bivariate-Bernstein-Chlodowsky operators based on (p,q)-integers. We give the basic estimates for these operators. Moreover, we discuss rate of convergence and pointwise approximation in Lipschitz class. In the last, we prove weighted approximation results.
Rao, Nadeem, Wafi, Abdul
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Generalized Bernstein type operators

SERIES III - MATEMATICS, INFORMATICS, PHYSICS, 2020
In this paper we investigate certain properties of a class of generalized Bernstein type ...
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A Generalization of Bernstein–Kantorovič Operators

Journal of Mathematical Analysis and Applications, 2000
The authors introduce a double sequence \((L_n^{\langle k \rangle}: n\geq 1,k\geq 0)\) of linear polynomial operators which includes, as particular cases, the Bernstein, Kantorovič and Cao operators. For the operators \(L_n^{\langle k\rangle}\) the authors discuss several approximation properties: the convergence properties, the preservation of global ...
de la Cal, Jesús, Valle, Ana M
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Aspects regarding the existence of fixed points of the iterates of Stancu operators [PDF]

Surveys in Mathematics and its Applications, 2019
In the papers Iterates of Stancu Operators, via Contraction Principle (2002), respectively Iterates of Bernstein Operators, via Contraction Principle (2004), author I. A. Rus studied the existence of fixed points for Stancu operators Pn,α,β and Bernstein
Amelia Bucur
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Approximation by limit q-Bernstein operator [PDF]

Acta Universitatis Sapientiae, Mathematica, 2013
Abstract We establish quantitative estimates for the limit q-Bernstein operator introduced in [3], via the second order Ditzian-Totik modulus of smoothness.
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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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Approximation by generalized Bernstein–Stancu operators

TURKISH JOURNAL OF MATHEMATICS, 2019
Summary: In this paper, we investigate approximation properties of the Stancu type generalization of the \(\alpha \)-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators.
Nursel ÇETİN, Voichiţa Adriana RADU
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Approximation by Schurer Type λ-Bernstein–Bézier Basis Function Enhanced by Shifted Knots Properties

Mathematics
In this article, a novel Schurer form of λ-Bernstein operators augmented by Bézier basis functions is presented by utilizing the features of shifted knots.
Abdullah Alotaibi
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On Sequences of J. P. King-Type Operators

Journal of Function Spaces, 2019
This survey is devoted to a series of investigations developed in the last fifteen years, starting from the introduction of a sequence of positive linear operators which modify the classical Bernstein operators in order to reproduce constant functions ...
Tuncer Acar, Mirella Cappelletti Montano, Pedro Garrancho, Vita Leonessa   +3 more
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