Results 101 to 110 of about 448 (115)
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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 ...
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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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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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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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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 +1 more
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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 +1 more
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The Voronovskaya type theorem for Poisson integrals of functions of two variables
Commentationes Mathematicae, 2013The 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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A Voronovskaya type theorem associated to geometric series of Bernstein – Durrmeyer operators
Carpathian Journal of MathematicsIn 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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Voronovskaya type results for Bernstein-Chlodovsky operators preserving e−2
Journal of Mathematical Analysis and Applications, 2020Tuncer acar +2 more
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Korovkin type theorem for Bernstein–Kantorovich operators via power summability method
Analysis and Mathematical Physics, 2020Naim Braha
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The new forms of Voronovskaya’s theorem in weighted spaces
Positivity, 2015Tuncer acar, Ali Aral, Ioan Rasa
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A note on the paper “Voronovskaya type asymptotic approximation by modified Gamma operators”
Applied Mathematics and Computation, 2013Grażyna Krech
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