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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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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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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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A new weighted statistical convergence and some associated approximation theorems
Mathematical Methods in the Applied Sciences, 2022Toufik Mansour +2 more
exaly
q‐Voronovskaya type theorems for q‐Baskakov operators
Mathematical Methods in the Applied Sciences, 2016Tuncer Acar
exaly
Voronovskaya type results for Bernstein-Chlodovsky operators preserving e−2
Journal of Mathematical Analysis and Applications, 2020Vita Leonessa +2 more
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General Voronovskaya and Asymptotic Theorems in Simultaneous Approximation
Mediterranean Journal of Mathematics, 2010Heiner Gonska, Radu Păltănea
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Voronovskaya‐type theorems for Urysohn type nonlinear Bernstein operators
Mathematical Methods in the Applied Sciences, 2019Harun Karsli
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Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators
Georgian Mathematical Journal, 2016Tuncer Acar
exaly
The new forms of Voronovskaya’s theorem in weighted spaces
Positivity, 2015Ali Aral, Ioan Rasa, Tuncer Acar
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