Results 101 to 110 of about 474 (129)

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.
Magdalena Lampa-Baczyńska
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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,
Adrian Holhoş
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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.
Grażyna Krech
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Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain–Durrmeyer operators of blending type

Analysis and Mathematical Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kajla, Arun, Deshwal, Sheetal, Agrawal, P. N.   +2 more
openaire   +3 more sources

Summation methods applied to Voronovskaya-type theorems for the partial sums of Fourier series and for Fejér operators

Mathematica Slovaca, 2016
Abstract We obtain Voronovskaya-type theorems for the partial sums of Fourier series using the second order Cesáro method of summation. Then we obtain two versions of Voronovskaya-type theorems for Fejér operators and finally we deduce an integral identity.
Minea, Bucurel, Păltănea, Radu
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Generalization of equi-statistical convergence via weighted lacunary sequence with associated Korovkin and Voronovskaya type approximation theorems

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohiuddine, S. A., Alamri, Badriah A. S.
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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
openaire   +2 more sources

Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators

Nature Machine Intelligence, 2021
Lu Lu, Pengzhan Jin, Guofei Pang
exaly  

Experimental quantum key distribution certified by Bell's theorem

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

Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies

Nature, 2005
Felix Ritort, Christopher Jarzynski
exaly