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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   +2 more
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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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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.
Gonska, Heiner, Paltanea, Radu
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q‐Voronovskaya type theorems for q‐Baskakov operators

Mathematical Methods in the Applied Sciences, 2015
In the present paper, we prove quantitative q‐Voronovskaya type theorems for q‐Baskakov operators in terms of weighted modulus of continuity. We also present a new form of Voronovskaya theorem, that is, q‐Grüss‐Voronovskaya type theorem for q‐Baskakov operators in quantitative mean.
Ulusoy, Gulsum, Acar, Tuncer
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The new forms of Voronovskaya’s theorem in weighted spaces

Positivity, 2015
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Tuncer Acar, Ali Aral, Ioan Rasa
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Λ2-Weighted statistical convergence and Korovkin and Voronovskaya type theorems

Applied Mathematics and Computation, 2015
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Braha, Naim L.   +2 more
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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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A Voronovskaya Theorem for Variation-Diminishing Spline Approximation

Canadian Journal of Mathematics, 1986
In [7] Schoenberg introduced the following variation-diminishing spline approximation methods.Let m > 1 be an integer and let Δ = {xi} be a biinfinite sequence of real numbers with xi ≧ xi + l < xi+m. To a function f associate the spline function Vf of order m with knots Δ defined by(1.1)whereand the Nj(x) are B-splines with support xj < x <
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Some weighted statistical convergence and associated Korovkin and Voronovskaya type theorems

Journal of Applied Mathematics and Computing, 2020
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Naim L. Braha   +2 more
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An Elementary Proof of Voronovskaya's Theorem

The American Mathematical Monthly, 1975
(1975). An Elementary Proof of Voronovskaya's Theorem. The American Mathematical Monthly: Vol. 82, No. 6, pp. 639-641.
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