Results 111 to 120 of about 537 (141)

Voronovskaja Theorem for Simultaneous Approximation by Bernstein Operators on a Simplex

Mediterranean Journal of Mathematics, 2014
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Păltănea, Radu, Stan, Gabriel
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Voronovskaja Type Theorems and High-Order Convergence Neural Network Operators with Sigmoidal Functions

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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General Form of Voronovskaja’s Theorem in Terms of Weighted Modulus of Continuity

Results in Mathematics, 2015
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Gupta, Vijay, Tachev, Gancho
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Voronovskaja Type Approximation Theorem for q-Szasz–Schurer Operators

2016
In 2011, Ozarslan (Miscolc Math Notes, 12:225–235, 2011) introduced the q-Szasz–Schurer operators and investigated their approximation properties. In the present paper, we state the Voronovskaja-type asymptotic formula for q-analogue of Szasz–Schurer operators.
Tuba Vedi, Mehmet Ali Özarslan
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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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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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Quantitative-Voronovskaja-type theorems for novel generalized-Szász–Durrmeyer operators incorporating the Sheffer sequences

The Journal of Analysis, 2022
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Voronovskaja’s Theorem and Iterations for Complex Bernstein Polynomials in Compact Disks

Mediterranean Journal of Mathematics, 2008
In this paper, firstly we prove the Voronovskaja’s convergence theorem for complex Bernstein polynomials in compact disks in \({\mathbb{C}}\), centered at origin, with quantitative estimates of this convergence. Secondly, we study the approximation properties of the iterates of complex Bernstein polynomials and we prove that they preserve in the unit ...
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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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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.
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