Results 101 to 110 of about 537 (141)

Voronovskaja’s theorem for functions with exponential growth

Georgian Mathematical Journal, 2018
Abstract In the present paper we establish a general form of Voronovskaja’s theorem for functions defined on an unbounded interval and having exponential growth. The case of approximation by linear combinations is also considered. Applications are given for some Szász–Mirakyan and Baskakov-type operators.
Tachev, Gancho, Gupta, Vijay, Aral, Ali
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A Quantitative Variant of Voronovskaja’s Theorem

Results in Mathematics, 2009
A general quantitative Voronovskaja theorem for Bernstein operators is given which bridges the gap between such estimates in terms of the least concave majorant of the first order modulus of continuity and the first order Ditzian–Totik modulus with classical weight $$\varphi(x) =
Heiner Gonska, Gancho Tachev
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Voronovskaja-type theorem for modified Bernstein operators

Journal of Mathematical Analysis and Applications, 2021
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Voronovskaja type approximation theorem for q-Szász-beta operators

Applied Mathematics and Computation, 2014
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YÜKSEL, İSMET, DİNLEMEZ KANTAR, ÜLKÜ   +1 more
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Voronovskaja Type Theorems for King Type Operators

Results in Mathematics, 2020
Here the author introduced the King type operators associated to a couple \((A,\tau)\) for a sequence of linear positive operators from \(C [0, 1]\) into \(C [0, 1]\) and \(\tau : [0, 1] \to [0, \infty)\) a continuous strictly increasing function. The concept of the \(\Lambda\)-Voronovskaja property of a function \(f \in C [0, 1]\) with respect to the \
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New estimates in Voronovskaja’s theorem

Numerical Algorithms, 2011
The author gives a negative answer to a conjecture formulated in [\textit{S. G. Gal}, Mediterr. J. Math. 5, No. 3, 253--272 (2008; Zbl 1185.30039)]: if \(B_{n}(f,x)\) is the Bernstein polynomial of degree \(n,\) then the quantity \(| B_{n}(f,x)-f(x)-\frac{1}{2n} x(1-x)f''(x) |\) is of order \(O(n^{-2}),\) \(n \to \infty,\) for any \(f \in C^{3}[0,1].\)
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An intermediate Voronovskaja type theorem

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019
For suitable sequences of positive linear operators \(V_n : C[a,b]\rightarrow C[a,b]\) the classical Voronovskaja type results evaluate the limit \(\lim_{n\rightarrow \infty}n(V_n f(x)-f(x))\) where \(f \in C[a,b]\) is twice differentiable at \(x\). The author obtains a Voronovskaja type result of the form \(\lim_{n\rightarrow \infty}\lambda_n(V_n f(x)-
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Voronovskaja type theorem for some nonpositive Kantorovich type operators

Carpathian Journal of Mathematics, 2023
In this paper we will study a Voronovskaja type theorem and a simultaneous approximation result for a new class of generalized Bernstein operators. The new operators are obtained using a generalization of Kantorovich's method, namely, we will introduce a sequence of operators $K_n^l=D^l\circ B_{n+l}\circ I^l$, where $B_{n+l}$ are Bernstein operators ...
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Quantitative Voronovskaja and Grüss Voronovskaja-Type Theorems for Operators of Kantorovich Type Involving Multiple Appell Polynomials

Iranian Journal of Science and Technology, Transactions A: Science, 2018
The purpose of the present paper is to obtain the quantitative Voronovskaja and Gruss Voronovskaja-type theorems by calculating the sixth-order central moment for the Jakimovski–Leviatan operators of Kantorovich type based on multiple Appell polynomials.
Pooja Gupta, P. N. Agrawal
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Generalized Voronovskaja theorem for q-Bernstein polynomials

Applied Mathematics and Computation, 2014
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