Results 21 to 30 of about 43,774 (252)

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 Durrmeyer Type λ-Bernstein Operators via (p, q)-Calculus

Journal of Function Spaces, 2020
In the present paper, Durrmeyer type λ-Bernstein operators via (p, q)-calculus are constructed, the first and second moments and central moments of these operators are estimated, a Korovkin type approximation theorem is established, and the estimates on ...
Qing-Bo Cai, Guorong Zhou
doaj   +1 more source

Convolution-type derivatives, hitting-times of subordinators and time-changed $C_0$-semigroups [PDF]

, 2014
In this paper we will take under consideration subordinators and their inverse processes (hitting-times). We will present in general the governing equations of such processes by means of convolution-type integro-differential operators similar to the ...
AI Saichev, AN Kochubei, B Baeumer, BNN Achar, Bruno Toaldo, CF Lorenzo, D Benson, E Montroll, E Orsingher, EH Lieb, F Mainardi, G Samorodnitsky, G Samorodnitsky, G Zaslavsky, J Bertoin, J Bertoin, J Rosiński, K Itô, M D’Ovidio, M Veillette, MM Meerschaert, MM Meerschaert, MM Meerschaert, MM Meerschaert, orsptrfE Orsingher, RS Phillips, S Bernstein, S Bochner, S Bochner, W Feller   +29 more
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Bivariate Bernstein type operators

Applied Mathematics and Computation, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Başcanbaz-Tunca, Gülen, İnce-İlarslan, Hatice Gül, Erençin, Ayşegül   +2 more
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Durrmeyer-Type Generalization of Parametric Bernstein Operators [PDF]

Symmetry, 2020
In this paper, we present a Durrmeyer type generalization of parametric Bernstein operators. Firstly, we study the approximation behaviour of these operators including a local and global approximation results and the rate of approximation for the Lipschitz type space.
Arun Kajla, Mohammad Mursaleen, Tuncer Acar   +2 more
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Lieb-Thirring Bound for Schr\"odinger Operators with Bernstein Functions of the Laplacian [PDF]

, 2012
A Lieb-Thirring bound for Schr\"odinger operators with Bernstein functions of the Laplacian is shown by functional integration techniques.
Bardou F., Bochner S., Bogdan K., Bogdan K., Demuth M., FUMIO HIROSHIMA, Herbst I. W., Hislop P. D., Huff B., Ikeda N., JÓZSEF LŐRINCZI, Reed M., Sato K. I., Schilling R., TAKASHI ICHINOSE   +14 more
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Bernstein-Type Operators on the Unit Disk

Bulletin of the Malaysian Mathematical Sciences Society, 2023
AbstractWe construct and study sequences of linear operators of Bernstein-type acting on bivariate functions defined on the unit disk. To this end, we study Bernstein-type operators under a domain transformation, we analyze the bivariate Bernstein–Stancu operators, and we introduce Bernstein-type operators on disk quadrants by means of continuously ...
M. J. Recarte, M. E. Marriaga, T. E. Pérez   +2 more
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Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Abstract and Applied Analysis, 2011
Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also
Jianjun Wang, Chan-Yun Yang, Shukai Duan
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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, Cardenas-Morales, Daniel, Garrancho, Pedro   +2 more
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Rate of Weighted Statistical Convergence for Generalized Blending-Type Bernstein-Kantorovich Operators

Mathematics, 2022
An alternative approach, known today as the Bernstein polynomials, to the Weierstrass uniform approximation theorem was provided by Bernstein. These basis polynomials have attained increasing momentum, especially in operator theory, integral equations ...
Faruk Özger, Ekrem Aljimi, Merve Temizer Ersoy   +2 more
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