Results 81 to 90 of about 137 (101)

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.
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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.
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Semi-discrete Voronovskaya-type theorem for positive linear operators based on Hermite interpolation with two double knots

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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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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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.
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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
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A Voronovskaya type theorem associated to geometric series of Bernstein – Durrmeyer operators

Carpathian Journal of Mathematics
In 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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The new forms of Voronovskaya’s theorem in weighted spaces

Positivity, 2015
Ali Aral, Ioan Rasa, Tuncer Acar
exaly  

Quantitative q-Voronovskaya and q-Grüss–Voronovskaya-type results for q-Szász operators

Georgian Mathematical Journal, 2016
Tuncer Acar
exaly