Results 11 to 20 of about 1,637,948 (328)
Approximation of integrable functions by general linear matrix operators of their Fourier series
Demonstratio Mathematica, 2022 The pointwise estimates of the deviation Tn,Af(⋅)−f(⋅){T}_{n,A}f(\cdot )-f\left(\cdot ) in terms of pointwise moduli of continuity based on the points of differentiability of indefinite integral of ff, with application of the rth differences of the ...
Mishra Vishnu Narayan +2 more
doaj +1 more source
Mathematics, 2022 The goal of this research article is to introduce a sequence of α–Stancu–Schurer–Kantorovich operators. We calculate moments and central moments and find the order of approximation with the aid of modulus of continuity.
Md. Heshamuddin +4 more
doaj +1 more source
Rate Of Convergence In Approximation
Periodica Mathematica Hungarica, 2014 In the present paper we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from into itself using the concept of -summation processes. We also study the rate of convergence of these operators.
Orhan, C., Sakaoglu, I.
openaire +2 more sources
Rate of approximation for multivariate sampling Kantorovich operators on some functions spaces [PDF]
, 2014 In this paper, the problem of the order of approximation for the multivariate sampling Kantorovich operators is studied. The cases of the uniform approximation for uniformly continuous and bounded functions/signals belonging to Lipschitz classes and the ...
D. Costarelli, G. Vinti
semanticscholar +1 more source
On the convergence rate of vanishing viscosity approximations [PDF]
Communications on Pure and Applied Mathematics, 2004 AbstractGiven a strictly hyperbolic, genuinely nonlinear system of conservation laws, we prove the a priori bound ‖u(t, ·) −uϵ(t, ·)‖=O(1)(1 +t) ·$\sqrt{\varepsilon}$|ln ϵ| on the distance between an exact BV solutionuand a viscous approximationuϵ, letting the viscosity coefficient ϵ → 0. In the proof, starting fromuwe construct an approximation of the
Bressan, Alberto, YANG T.
openaire +4 more sources
Rate of convergence of discretization in Chebyshev approximation [PDF]
Mathematics of Computation, 1981 The paper treats, in a particularly simple fashion, the practical problem of the rate of convergence of discretization in real and complex Chebyshev approximation. Both linear and nonlinear approximations are discussed and, subject to certain conditions, quadratic convergence of the discretizations is obtained along with an explicit rate constant which
Dunham, C. B., Williams, Jack
openaire +2 more sources
On the Rate of Convergence of Greedy Algorithms
Mathematics, 2023 In this paper, a new criterion for the evaluation of the theoretical efficiency of a greedy algorithm is suggested. Using this criterion, we prove some results on the rate of convergence of greedy algorithms, which provide expansions.
Vladimir Temlyakov
doaj +1 more source
DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators [PDF]
Journal of Computational Physics, 2020 In high-speed flow past a normal shock, the fluid temperature rises rapidly triggering downstream chemical dissociation reactions. The chemical changes lead to appreciable changes in fluid properties, and these coupled multiphysics and the resulting ...
Zhiping Mao +4 more
semanticscholar +1 more source
On the rate of convergence of fully connected deep neural network regression estimates
Annals of Statistics, 2021 Recent results in nonparametric regression show that deep learning, that is, neural network estimates with many hidden layers, are able to circumvent the so-called curse of dimensionality in case that suitable restrictions on the structure of the ...
Michael Kohler, S. Langer
semanticscholar +1 more source
Convergence Rates of Regularized Approximation Processes
Journal of Approximation Theory, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shaw, Sen-Yen, Liu, Hsiang
openaire +1 more source