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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, 2020Semidiscrete 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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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
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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
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The New Forms of Voronovskaya’s Theorem in Weighted Spaces
Positivity, 2016 Acar, Tuncer/0000-0003-0982-9459; Rasa, Ioan/0000-0002-5206-030XThe Voronovskaya theorem which is one of the most important pointwise convergence results in the theory of approximation by linear positive operators (l.p.o) is considered in quantitative ...
Ali Aral, Ioan Rasa, Tuncer Acar
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A Voronovskaya-type theorem in simultaneous approximation
Periodica Mathematica Hungarica, 2021A 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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Analysis and Mathematical Physics, 2018
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Kajla, Arun +2 more
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Kajla, Arun +2 more
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Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems
Journal of Applied Mathematics and Computing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naim L. Braha +2 more
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A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators
British Journal of Mathematics & Computer Science, 2015Bernstein 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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A Voronovskaya-Type Theorem for the First Derivatives of Positive Linear Operators
Results in Mathematics, 2019The 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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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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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 ...
openaire +2 more sources