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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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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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A Voronovskaya Theorem for Variation-Diminishing Spline Approximation
Canadian Journal of Mathematics, 1986In [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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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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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 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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Positivity, 2018
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Some Weighted Statistical Convergence and Associated Korovkin and Voronovskaya Type Theorems
Journal of Applied Mathematics and Computing, 2021Mikail Et +2 more
exaly
Q-Voronovskaya Type Theorems for q-Baskakov Operators
Mathematical Methods in the Applied Sciences, 2016Tuncer Acar
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