Results 31 to 40 of about 1,722 (295)
On a new family of generalized Bernstein operators
, 2022 In this paper we remark that α-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the
TALPĂU DIMITRIU , Maria
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Statistical Convergence of Bernstein Operators
Applied Mathematics & Information Sciences, 2016 The Bernstein operator is one of the important topics of approximation theory in which it has been studied in great details for a long time. The aim of this paper is to study the statistical convergence of sequence of Bernstein polynomials. In this paper, we introduce the concepts of statistical convergence of Bernstein polynomials and VB−summability ...
Aracı, Serkan +2 more
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Bernstein operators and finite exchangeability
, 1991 We present a method for proving finite versions of De Finetti-type theorems for general measurable spaces (X, A). Bernstein operators on the one dimensional simplex [0, 1] are generalized to Bernstein operators on limits of simplices, representing ...
Pötzelberger, Klaus
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On multiplicativity of the Bernstein operator
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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A new representation and shape‐preserving properties of perturbed Bernstein operators
, 2023 We introduce a new representation of recently introduced perturbed Bernstein operators (Formula presented.) in terms of classical Bernstein operators. Using this new representation, we investigate the shape-preserving properties of the operator (Formula ...
Ana‐Maria Acu +7 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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Journal of Function Spaces, 2021 In this article, we purpose to study some approximation properties of the one and two variables of the Bernstein-Schurer-type operators and associated GBS (Generalized Boolean Sum) operators on a symmetrical mobile interval.
Reşat Aslan, Aydın İzgi
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Derivatives of multidimensional Bernstein operators and smoothness
, 2005 We characterize the directional derivatives of multidimensional Bernstein operators by a new measure of smoothness. This task is carried out by means of establishing the relation between the asymptotic behavior of the derivatives and the smoothness of ...
Cao, Feilong
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ψ‐Bernstein–Kantorovich operators
Mathematical Methods in the Applied SciencesIn this article, we introduce a modified class of Bernstein–Kantorovich operators depending on an integrable function and investigate their approximation properties. By choosing an appropriate function , the order of approximation of our operators to a function is at least as good as the classical Bernstein–Kantorovich operators on the interval .
Hüseyin Aktuğlu +2 more
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