Results 21 to 30 of about 7,220,522 (276)
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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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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On a Bernstein-type operator of Bleimann, Butzer and Hahn [PDF]
, 1993 The largest subclass of C[0, ∞) for which the Bernstein-type operator Ln is a pointwise approximation process is determined.
Jayasri, C., Sitaraman, Y.
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Jacobi polynomials, Bernstein-type inequalities and dispersion estimates for the discrete Laguerre operator [PDF]
, 2018 The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new wrinkle by establishing some intriguing connections with dispersive ...
Gerald Teschl +6 more
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On the shape-preserving properties of λ-Bernstein operators
Journal of Inequalities and Applications, 2022 We investigate the shape-preserving properties of λ-Bernstein operators B n , λ ( f ; x ) $B_{n,\lambda } ( f;x ) $ that were recently introduced Bernstein-type operators defined by a new Beziér basis with shape parameter λ ∈ [ − 1 , 1 ] $\lambda \in ...
Lian-Ta Su, Gökhan Mutlu, Bayram Çekim
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Bernstein-type operators that reproduce exponential functions [PDF]
Journal of Mathematical Inequalities, 2018 Summary: In this paper we recover a generalization of the classical Bernstein operators introduced by \textit{S. Morigi} and \textit{M. Neamtu} [Adv. Comput. Math. 12, No. 2--3, 133--149 (2000; Zbl 1044.42500)]. Specifically, we focus on a sequence of operators that reproduce the exponential functions \(\exp(\mu t)\) and \(\exp(2\mu t)\), \(\mu > 0 ...
Aral, Ali +2 more
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Approximation by q-Bernstein type operators [PDF]
Czechoslovak Mathematical Journal, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Certain Best Constants for Bernstein-Type Operators
Journal of Approximation Theory, 2001 In the paper \textit{Z. Li} [J. Approximation Theory 102, 171-174 (2000; Zbl 0957.41017)] the best constant problem was introduced. In the present paper the authors study a generalized version of this problem. Also, some best constants for well-known Bernstein-type operators are calculated. The results are too technical to be reproduced in detail here.
Jesús De La Cal, Javier Cárcamo
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Bound-Preserving Operators and Bernstein Type Inequalities [PDF]
Computational Methods and Function Theory, 2004 Let \(p(z):=\sum_{k=0}^na_kz^k\) be a complex polynomial of degree at most \(n\). According to the celebrated inequality of Bernstein (*) \(| | p^{\prime}| | \leq n| | p| | \), where \(| p| :=\max_{| z| =1}| p(z)| \) and \(n\geq 1\). For various extensions of inequality (*), see, for example, \textit{Q. I. Rahman} and \textit{G.
Dryanov, Dimiter, Fournier, Richard
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Journal of Inequalities and Applications, 2019 In (Rahman and Schmeisser in Trans. Amer. Math. Soc.
Ha Huy Bang, Vu Nhat Huy, Kyung Soo Rim
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