Approximation and Geometric Properties of Complex $$\alpha $$α-Bernstein Operator
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DOI: 10.1007/s00025-018-0953-z
Abstract: In this paper, we consider the complex form of a new generalization of the Bernstein operator, depending on a non-negative real parameter. We obtain quantitative upper estimate for simultaneous approximation, a qualitative Voronovskaja type result… read more here.
Keywords: alpha bernstein; complex alpha; properties complex; bernstein ... See more keywords
RETRACTED ARTICLE: On eigenstructure of q-Bernstein operators
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DOI: 10.1007/s13324-020-00443-7
Abstract: The quantum analogue of Bernstein operators $${\mathcal {B}}_{m,q}$$ reproduce the linear polynomials which are therefore eigenfunctions corresponding to the eigenvalue $$1,~\forall ~ q>0$$ . In this article the rest of eigenstructure of q-Bernstein operators and… read more here.
Keywords: bernstein; eigenstructure bernstein; bernstein operators; retracted article ... See more keywords
Comparison of Two-Parameter Bernstein Operator and Bernstein–Durrmeyer Variants
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DOI: 10.1007/s41980-018-0101-2
Abstract: The quantum calculus and the post-quantum calculus have recently gained broad popularity in computational science and engineering due to their applications to diverse areas such as solution of differential equations, approximation theory and computer-aided geometric… read more here.
Keywords: bernstein; bernstein durrmeyer; bernstein operator; two parameter ... See more keywords
Approximation of functions by a new family of generalized Bernstein operators
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DOI: 10.1016/j.jmaa.2016.12.075
Abstract: Abstract The main object of this paper is to construct a new generalization of the Bernstein operator, depending on a non-negative real parameter. We investigate some elementary properties of this operator, such as end point… read more here.
Keywords: bernstein; bernstein operators; generalized bernstein; approximation functions ... See more keywords
Overlapping of the harmonics of the cyclotron frequency in the Bernstein waves due to relativistic effects
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DOI: 10.1063/1.5027773
Abstract: By using the generalized expression for the plasma conductivity tensor, the general dispersion relation for the Bernstein waves is derived. To investigate the Bernstein waves for a weakly relativistic plasma, the Maxwell-Boltzmann-Juttner distribution function is… read more here.
Keywords: bernstein; propagation; cyclotron frequency; harmonics ... See more keywords
Pedagogic governance: theorising with/after Bernstein
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DOI: 10.1080/01425692.2015.1081052
Abstract: Researchers interested in new modes of social control and regulation through pedagogic means have increasingly drawn on Bernstein’s theories of social control through pedagogic means and the emergence of a totally pedagogised society. This article… read more here.
Keywords: bernstein; theorising bernstein; control; governance theorising ... See more keywords
A Kantorovich type integral modification of q-Bernstein-Schurer operators
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DOI: 10.2298/fil1804335g
Abstract: The q− Bernstein-Schurer summation type operators are modified in order to make them applicable for approximation of integrable functions. The aim of the paper is twofold. Firstly, to find refined error estimates, |S n,p,q (… read more here.
Keywords: bernstein; type integral; kantorovich type; integral modification ... See more keywords
Convergence of iterates of q-Bernstein and (p,q)-Bernstein operators and the Kelisky-Rivlin type theorem
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DOI: 10.2298/fil1812351r
Abstract: Recently, Radu [Note on the iterates of q and (p, q)-Bernstein operators, Scientific Studies and Research, Series Mathematics and Informatics, 26(2) (2016) 83-94] has investigated the convergence of iterates of q-Bernstein polynomial and (p, q)-Bernstein… read more here.
Keywords: bernstein; convergence iterates; bernstein operators; rivlin type ... See more keywords
Some Probabilistic Generalizations of the Cheney-Sharma and Bernstein Approximation Operators
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DOI: 10.3390/axioms11100537
Abstract: The objective of this paper is to give some probabilistic derivations of the Cheney, Sharma, and Bernstein approximation operators. Motivated by these probabilistic derivations, generalizations of the Cheney, Sharma, and Bernstein operators are defined. The… read more here.
Keywords: bernstein approximation; cheney sharma; approximation operators; sharma bernstein ... See more keywords