Results 11 to 20 of about 659,087 (137)
A Voronovskaya Type Theorem for Poisson-Cauchy Type singular operators
Journal of Mathematical Analysis and Applications, 2010 The paper deals with the study of approximation properties of smooth Poisson-Cauchy type singular integral operators over the real line. A Voronovskaya type asymptotic formula is also established.
G. Anastassiou, Razvan A. Mezei
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Journal of Approximation Theory, 2002 Let \(L^{(\alpha)}_n\) denote the \(n\)th Laguerre polynomial with parameter \(\alpha> -1\). The authors study properties of the Poisson integral \(A(f)\) defined for \(p\geq 1\) and \(f\in L^p([0,\infty), \omega_\alpha)\) by \[ A(f)(r, x):= \int^\infty_0 K_\alpha(r, x,y) f(y) \omega_\alpha(y) dy\qquad (0< \tau< 1, x> 0), \] where \(\omega_\alpha(y)= y^
G. Toczek, E. Wachnicki
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Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science, 2023 Since the classical asymptotic theorems of Voronovskaya-type for positive and linear operators are in fact based on the Taylor’s formula which is a very particular case of Lagrange-Hermite interpolation formula, in the recent paper Gal [3], I have ...
S. Gal
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Ideal relatively uniform convergence with Korovkin and Voronovskaya types approximation theorems
Filomat, 2019 We introduce the notion of ideally relative uniform convergence of sequences of real valued functions. We then apply this notion to prove Korovkin-type approximation theorem, and then construct an illustrative example by taking (p,q)-Bernstein ...
S. A. Mohiuddine +2 more
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Voronovskaya Type Theorems in Weighted Spaces
Numerical Functional Analysis and Optimization, 2016 In this article, we introduce a generalization of Gamma operators based on a function ρ having some properties and prove quantitative Voronovskaya and quantitative Gruss type Voronovskaya theorems ...
Ayşegül Erençin, Ioan Raşa
exaly +4 more sources
Symmetrized Neural Network Operators in Fractional Calculus: Caputo Derivatives, Asymptotic Analysis, and the Voronovskaya-Santos-Sales Theorem [PDF]
AxiomsThis work presents a comprehensive mathematical framework for symmetrized neural network operators operating under the paradigm of fractional calculus.
Rômulo Damasclin Chaves dos Santos +2 more
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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.
Stefan Garoiu
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The Voronovskaya theorem for some linear positive operators of functions of two variables
, 1996 Summary: We give the Voronovskaya theorem for some operators \(L_{m,n}^{\{i\}}\) of the Szász-Mirakyan type defined for functions of two variables belonging to polynomial or exponential weighted spaces. Some approximation properties of these operators for functions of one variable are given in the references.
L. Rempulska, M. Skorupka
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Journal of Approximation Theory, 2014 In this paper, the authors have considered geometric series related to a large class of positive linear operators acting on a space of functions on the interval \([0, 1]\) and studied the convergence of the series in the case of sequences of admissible operators.
U. Abel, M. Ivan, Radu Pltnea
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The Voronovskaya theorem for some operators of the Szasz-Mirakjan type
Le Matematiche, 1995 We give the Voronovskaya theorem for some operators of the Szasz-Mirakjan type defined in the space of functions continuous on [0,+infinity) and having the polynomial grouth at infinity. Some approximation properties of these operators are given in [2],
Lucina Rempulska, Mariola Skorupka
doaj +2 more sources