Results 111 to 120 of about 553 (125)

Generalized Voronovskaja’s Theorem and Approximation by Butzer’s Combinations of Complex Bernstein Polynomials

Results in Mathematics, 2009
In this paper we obtain the generalized Voronovskaja’s theorem in complex setting with exact quantitative estimate and the exact order of approximation of the analytic functions in compact disks by Butzer’s linear combination of complex Bernstein polynomials.
Sorin G Gal
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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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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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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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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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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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Voronovskaja’s Theorem in Terms of Weighted Modulus of Continuity

2017
Let E be a subspace of C[0, ∞) which contains the polynomials and L n : E → C[0, ∞) be a sequence of linear positive operators. The weighted modulus of continuity, considered by Acar–Aral–Rasa in [7] is denoted by \(\Omega (f;\delta )\) and given by $$\displaystyle{\Omega (f;\delta ) =\sup _{0\leq ...
Vijay Gupta, Gancho Tachev
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Quantitative-Voronovskaja-type theorems for novel generalized-Szász–Durrmeyer operators incorporating the Sheffer sequences

The Journal of Analysis, 2022
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Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials

Positivity, 2018
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Ulrich Abel, Vitaliy Kushnirevych
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Voronovskaja’s theorem, shape preserving properties and iterations for complex q-Bernstein polynomials

Studia Scientiarum Mathematicarum Hungarica, 2011
In this paper, first we prove Voronovskaja’s convergence theorem for complex q-Bernstein polynomials, 0 < q < 1, attached to analytic functions in compact disks in ℂ centered at origin, with quantitative estimate of this convergence. As an application, we obtain the exact order in approximation of analytic functions by the complex q-Bernstein ...
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