Results 41 to 50 of about 537 (141)
Voronovskaja's theorem revisited
Journal of Mathematical Analysis and Applications, 2008 This paper considers Voronovskaja's theorem for Bernstein operator. The author describes the degree of the uniform convergence of the theorem and obtains a variant of Voronovskaja's theorem that improves some estimates obtained by Gonska, Pitual and Rasa.
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q-Parametric Bleimann Butzer and Hahn Operators
Journal of Inequalities and Applications, 2008 We introduce a new q-parametric generalization of Bleimann, Butzer, and Hahn operators in C1+x*[0,∞). We study some properties of q-BBH operators and establish the rate of convergence for q-BBH operators.
P. Sabancıgil, N. I. Mahmudov
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Approximation properties of multivariate exponential sampling series
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we generalize the family of exponential sampling series for functions of $n$ variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of $\log$-uniformly continuous
S. Kurşun +3 more
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Journal of Numerical Analysis and Approximation Theory, 2012 In this paper we demonstrate a Voronovskaja-type theorem and approximation theorem for a class of modified operators and Generalized Boolean Sum (GBS) associated operators obtained (see (3)) from given operators.
Ovidiu T. Pop
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A note on the Voronovskaja theorem for Mellin–Fejer convolution operators
Applied Mathematics Letters, 2011 The authors make use of a Taylor formula ``in terms of Mellin derivatives and notion of logarithmic'' moment and state a Voronovskaja approximation formula for a class of Mellin-Fejér type convolution operators. Applications to specific integral operators notably, the Mellin-Gauss-Weierstrass operator have also given.
BARDARO, Carlo, MANTELLINI, Ilaria
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Some approximation properties of ( p , q ) $(p,q)$ -Bernstein operators
Journal of Inequalities and Applications, 2016 This paper is concerned with the ( p , q ) $(p,q)$ -analog of Bernstein operators. It is proved that, when the function is convex, the ( p , q ) $(p,q)$ -Bernstein operators are monotonic decreasing, as in the classical case.
Shin Min Kang +4 more
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Simultaneous approximation by neural network operators with applications to Voronovskaja formulas
Mathematische Nachrichten, Volume 298, Issue 3, Page 871-885, March 2025.Abstract In this paper, we considered the problem of the simultaneous approximation of a function and its derivatives by means of the well‐known neural network (NN) operators activated by the sigmoidal function. Other than a uniform convergence theorem for the derivatives of NN operators, we also provide a quantitative estimate for the order of ...
Marco Cantarini, Danilo Costarelli
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Approximation Properties of Parametric Kantorovich-Type Operators on Half-Bounded Intervals
Mathematics, 2023 The main purpose of this paper is to introduce a new family of parametric Kantorovichtype operators on the half-bounded interval. The convergence properties of these new operators are investigated.
Hui Dong, Qiulan Qi
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Approximation by q-Szasz operators [PDF]
, 2010 his paper deals with approximating properties of the newly defined $q$-generalization of the Sz\'{a}sz operators in the case $q>1$. Quantitative estimates of the convergence in the polynomial weighted spaces and the Voronovskaja's theorem are given.
Mahmudov, Nazim I.
core
A Bernstein‐Like Trigonometric Basis: Properties, Curve Design, and Operator Construction
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.We introduce a novel family of trigonometric basis functions equipped with a shape parameter, analogous to Bernstein functions. These basis functions are employed to construct Bézier‐like curves, termed “trigo‐curves”, which retain the fundamental properties of classical Bézier curves while offering enhanced shape control through parameter adjustment ...
Jamshid Saeidian +3 more
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