Results 1 to 10 of about 237 (114)
Nonlinear Bivariate Bernstein–Chlodowsky Operators of Maximum Product Type
Journal of Mathematics, 2022 The positive nonlinear operators with maximum and product were introduced by Bede. In this study, nonlinear maximum product type of bivariate Bernstein–Chlodowsky operators is defined and the approximation properties are investigated with the help of new
Özge Özalp Güller +2 more
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On pointwise approximation properties of certain nonlinear Bernstein operators
Tbilisi Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly +3 more sources
Approximation by nonlinear Bernstein-Chlodowsky operators of Kantorovich type
Filomat, 2023 In this study, we give the monotonicity of the Bernstein-Chlodowsky max product operator. Then, we introduce Bernstein-Chlodowsky-Kantorovich operators of max-product type and obtain this operator preserves quasi-concavity. Also, we give some approximation properties of Lipschitz functions by max-product kind of Bernstein-Chlodowsky ...
Ecem Acar, Özge Güler, Kirci Serenbay
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Approximation of fuzzy numbers by nonlinear Bernstein operators of max-product kind [PDF]
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-2011), 2011 In this paper firstly we extend from [0, 1] to an arbitrary compact interval [a, b], the definition of the nonlinear Bernstein operators of max-product kind, B (M) n (f ), n ∈ N, by proving that their order of uniform approximation to f is ω1(f, 1/ √ n )a nd that they preserve the quasi-concavity of f .S ince B (M) n (f ) generates in a simple way a ...
Lucian C. Coroianu +2 more
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Convergence of certain nonlinear counterpart of the Bernstein operators
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2015 Summary: The present paper concerns with the nonlinear Bernstein operator \(NB_nf\) of the form \[ (NB_nf)(x)=\sum\limits_{k=0}^n P_{n,k}\left(x,f\left(\frac kn\right)\right),\quad 0\leq x\leq 1, \; n\in\mathbb{N}, \] acting on bounded functions on an interval \([0,1]\), where \(P_{n,k}\) satisfy some suitable assumptions. As a continuation of the very
KARSLI, Harun, ALTIN H., Erhan
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On convergence of certain nonlinear Bernstein operators
Filomat, 2016 In this article, we concern with the nonlinear Bernstein operators NBnf of the form (NBnf)(x)= n?k=0 Pn,k (x,f (k/n)), 0 ? x ? 1, n?N, acting on bounded functions on an interval [0,1], where Pn,k satisfy some suitable assumptions. As a continuation of the very recent paper of the authors [22], we estimate their pointwise convergence to a ...
Karslı, Harun +2 more
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Nonlinear Bernstein-type operators providing a better error estimation [PDF]
Miskolc Mathematical Notes, 2014 In this paper, when approximating a continuos non-negative function on the unit interval, we present an alternative way to the classical Bernstein polynomials. Our new operators become nonlinear, however, for some classes of functions, they provide better error estimations than the Bernstein polynomials.
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Some approximation properties of a certain nonlinear Bernstein operators
Filomat, 2014 The present paper concerns with a certain sequence of nonlinear Bernstein operators NBnf of the form (NBnf )(x) = ?nk=0 Pk,n (x,f (k/n)), 0 ? x ? 1, n ? N, acting on bounded functions on an interval [0, 1], where Pk, n satisfy some suitable assumptions. We will also investigate the pointwise convergence of this operators in some functional
Karslı, Harun +2 more
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Approximation and Shape Preserving Properties of the Bernstein Operator of Max-Product Kind
International Journal of Mathematics and Mathematical Sciences, 2009 Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (2006, 2008), in the book by Gal (2008), Open Problem 5.5.4, pages 324–326, the Bernstein max-prod-type operator is introduced and the question of the approximation
Barnabás Bede +2 more
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Solving Nonlinear Fractional Differential Equations By Bernstein Polynomials Operational Matrices
Journal of Mathematics and Computer Science, 2012 In this paper, we solve nonlinear fractional differential equations by Bernstein polynomials. Firstly, we derive the Bernstein polynomials (BPs) operational matrix for the fractional derivative in the Caputo sense, which has not been undertaken before. This method reduces the problems to a system of algebraic equations. The results obtained are in good
Mohsen Alipour, Davood Rostamy
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