Results 111 to 120 of about 478 (139)

A Voronovskaya-Type Theorem for the First Derivatives of Positive Linear Operators

Results in Mathematics, 2019
The author considers a family of positive linear operators which satisfy a differential equation similar to the one characterizing the exponential operators of C. P. May. Voronovskaya-type quantitative results for the derivatives of these operators are obtained. The last section is devoted to examples and applications involving modified Szász-Mirakyan,
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A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators

British Journal of Mathematics & Computer Science, 2015
Bernstein operators constitute a powerful tool allowing one to replace many inconvenient calculations performed for continuous functions by more friendly calculations on approximating polynomials. In this note we study a modification of Bernstein type operators and prove in particular that they satisfy Voronovskaya type theorems.
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Semi-discrete Voronovskaya-type theorem for positive linear operators based on Hermite interpolation with two double knots

Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023
Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation formula, in the recent paper Gal [3], I have obtained semi-discrete quantitative Voronovskaya-type theorems based on other Lagrange-Hermite ...
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The Voronovskaya type theorem for Poisson integrals of functions of two variables

Commentationes Mathematicae, 2013
The aim of this paper is the study the Voronovskaya type theorem for Poisson integrals of functions of two variables for Hermite and Laguerre expansions. We also present some boundary value problems related to these integrals.
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Strong Converse Inequalities and Qantitative Voronovskaya-Type Theorems for Trigonometric Fej\'er Sums

2019
Let $\sigma_n$ denotes the classical Fej\'er operator for trigonometric expansions.For a fixed even integer $r$, we characterize the rate of convergence of the iterative operators$(I-\sigma_n)^r(f)$ in terms of the modulus of continuity of order $r$ (with specific constants)in all $\mathbb{L}^p$ spaces $1\leq p \leq \infty$.
BUSTAMANTE, Jorge, FLORES DE JESÚS, Lázaro   +1 more
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A Voronovskaya type theorem associated to geometric series of Bernstein – Durrmeyer operators

Carpathian Journal of Mathematics
In this paper we give a Voronovskaya type theorem for the operators introduced by U. Abel, which are defined as the geometric series of Bernstein- Durrmeyer operators.
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Generalized Voronovskaya theorem and the convergence of power series of positive linear operators

Journal of Mathematical Analysis and Applications
Voronovskaya's theorem provides an asymptotic error term for the Bernstein polynomials of functions that are twice differentiable. There is an extensive body of literature on Voronovskaya-type results for various operators. The aim of the present manuscript is to generalize Voronovskaya's theorem by providing an explicit form of the limit \(\lim_{n\to ...
Ştefan Garoiu, Radu Păltănea
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Voronovskaya theorem for a sequence of positive linear operators related to squared Bernstein polynomials

Positivity, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
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Experimental quantum key distribution certified by Bell's theorem

Nature, 2022
David Nadlinger, C j Ballance, Kirill Ivanov   +2 more
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