Results 31 to 40 of about 90,056 (287)
, 2020 The article is devoted to the expansions of iterated Stratonovich stochastic integrals of multiplicities 1 to 4 on the basis of the method of generalized multiple Fourier series that are converge in the sense of norm in Hilbert space $L_2([t, T]^k),$ $k ...
Kuznetsov, Dmitriy F.
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Approximation and Complexity II: Iterated Integration [PDF]
Foundations of Computational Mathematics, 2002 We introduce two classes of real analytic functions W U on an interval. Starting with rational functions to construct functions in W we allow the application of three types of operations: addition, integration and multiplication by a polynomial with rational coe cients.
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Approximation of Finite Hilbert and Hadamard Transforms by Using Equally Spaced Nodes
Mathematics, 2020 In the present paper, we propose a numerical method for the simultaneous approximation of the finite Hilbert and Hadamard transforms of a given function f, supposing to know only the samples of f at equidistant points. As reference interval we consider
Frank Filbir +2 more
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General multivariate arctangent function activated neural network approximations
Journal of Numerical Analysis and Approximation Theory, 2022 Here we expose multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or \(\mathbb{R}^{N}\), \(N\in \mathbb{N}\), by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature ...
George A. Anastassiou
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Analysis of approximate factorization in iteration methods [PDF]
Applied Numerical Mathematics, 1998 The article is concerned with stiff systems of ordinary differential equations arising from spiritual discretization of time- and space-dependent partial differential equations. Since numerical solvers for corresponding initial value problems must necessarily be implicit for stability reasons, a large system of equations has to be solved in each time ...
Eichler-Liebenow, C. +2 more
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Strong Approximation of Empirical Copula Processes by Gaussian Processes
, 2011 We provide the strong approximation of empirical copula processes by a Gaussian process. In addition we establish a strong approximation of the smoothed empirical copula processes and a law of iterated ...
Adler R. J. +21 more
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, 2014 Following K. Mahler's suggestion for further research on intrinsic approximation on the Cantor ternary set, we obtain a Dirichlet type theorem for the limit sets of rational iterated function systems.
Broderick +14 more
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Qualitative approximation of solutions to discrete Volterra equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a new approach to the theory of asymptotic properties of solutions to discrete Volterra equations of the form \begin{equation*} \Delta^m x_n=b_n+\sum_{k=1}^{n}K(n,k)f(k,x_{\sigma(k)}). \end{equation*} Our method is based on using the iterated
Malgorzata Migda, Janusz Migda
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A Gaussian Process Approximation for a two-color Randomly Reinforced Urns
, 2011 We prove a Gaussian process approximation for the sequence of random compositions of a two-color randomly reinforced urn for both the cases with the equal and unequal reinforcement means.
Zhang, Li-Xin
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An analogue of Khintchine's theorem for self-conformal sets [PDF]
, 2018 Khintchine's theorem is a classical result from metric number theory which relates the Lebesgue measure of certain limsup sets with the convergence/divergence of naturally occurring volume sums.
Baker, Simon
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