Results 111 to 120 of about 336,700 (138)

Generalized Neural Network Operators with Symmetrized Activations: Fractional Convergence and the Voronovskaya-Damasclin Theorem

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A Voronovskaya Type Theorem on Modified Post-Widder Operators Preserving x² [PDF]

Kyungpook mathematical journal, 2011
Mohammad Arif Siddiqui, Raksha Rani Agrawal   +1 more
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General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation

Mediterranean Journal of Mathematics, 2010
Here the authors prove general asymptotic and Voronovskaya theorems in simultaneous approximation. They generalize the Voronovskaya type result obtained recently by Floater for Bernstein operators and previously by Heilmann and Muller for the Durrmeyer operators.
Heiner Gonska, Radu Păltănea
exaly   +2 more sources

Λ2-Weighted Statistical Convergence and Korovkin and Voronovskaya Type Theorems

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L Braha, Valdete Loku, H M Srivastava   +2 more
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The Voronovskaya type theorem for Poisson integrals of functions of two variables [PDF]

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.
Krech, Grażyna
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Semi-Discrete Quantitative Voronovskaya-Type Theorems for Positive Linear Operators

Results in Mathematics, 2020
Semidiscrete quantitative Voronovskaya type theorems are established using three particular cases of Lagrange-Hermite interpolation formula. Applications to Kantorovich operators and Bernstein operators are obtained.
Sorin G Gal
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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.
Radu Păltănea
exaly   +2 more sources

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 ...
Radu Păltănea
exaly   +2 more sources

A Voronovskaya-type theorem in simultaneous approximation

Periodica Mathematica Hungarica, 2021
A general class of positive linear operators, called exponential type operators, is introduced and studied in [\textit{C. P. May}, Can. J. Math. 28, 1224--1250 (1976; Zbl 0342.41018)] and [\textit{M. E. H. Ismail} and \textit{C. P. May}, J. Math. Anal. Appl.
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Quantitative Voronovskaya and Grüss-Voronovskaya type theorems for Jain–Durrmeyer operators of blending type

Analysis and Mathematical Physics, 2018
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Kajla, Arun, Deshwal, Sheetal, Agrawal, P. N.   +2 more
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