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Quantitative estimates in the approximation of semigroups and applications [PDF]
, 2008 Tacelli, Cristian
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Voronovskaja-type theorem for modified Bernstein operators
Journal of Mathematical Analysis and Applications, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Voronovskaja type approximation theorem for q-Szász-beta operators
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
YÜKSEL, İSMET +1 more
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Voronovskaja type theorem for some nonpositive Kantorovich type operators
Carpathian Journal of Mathematics, 2023In 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 Type Theorems for King Type Operators
Results in Mathematics, 2020Here 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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Mediterranean Journal of Mathematics, 2020
The authors provide an asymptotic formula for neural network (NN for short) operators which are given in terms of sigmoidal functions, i.e., real functions satisfying meaningful assumptions (Theorem 3.1). Also, the authors describe an asymptotic behavior of a finite linear combination of NN type operators (Theorem 4.1).
Danilo Costarelli, Gianluca Vinti
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The authors provide an asymptotic formula for neural network (NN for short) operators which are given in terms of sigmoidal functions, i.e., real functions satisfying meaningful assumptions (Theorem 3.1). Also, the authors describe an asymptotic behavior of a finite linear combination of NN type operators (Theorem 4.1).
Danilo Costarelli, Gianluca Vinti
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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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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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An intermediate Voronovskaja type theorem
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019For 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 theorems for positive linear operators related to squared Bernstein polynomials
Positivity, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ulrich Abel, Vitaliy Kushnirevych
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