Results 11 to 20 of about 1,539,341 (287)

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

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

Generalized ( p , q ) $(p,q)$ -Bleimann-Butzer-Hahn operators and some approximation results

Journal of Inequalities and Applications, 2017
The aim of this paper is to introduce a new generalization of Bleimann-Butzer-Hahn operators by using ( p , q ) $(p,q)$ -integers which is based on a continuously differentiable function μ on [ 0 , ∞ ) = R + $[0,\infty)=\mathbb{R}_{+}$ . We establish the
M Mursaleen, Md Nasiruzzaman, Khursheed J Ansari, Abdullah Alotaibi   +3 more
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Probability of noise- and rate-induced tipping [PDF]

, 2017
We propose an approximation for the probability of tipping when the speed of parameter change and additive white noise interact to cause tipping. Our approximation is valid for small to moderate drift speeds and helps to estimate the probability of false
Ritchie, Paul, Sieber, Jan
core   +2 more sources

Best simultaneous Diophantine approximations. I. Growth rates of best approximation denominators [PDF]

Transactions of the American Mathematical Society, 1982
This paper defines the notion of a best simultaneous Diophantine approximation to a vector α \alpha in R n R^n with respect to a norm ‖ ⋅ ‖ \left \| \,\cdot \, \right \| on R n R^n .
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Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

Demonstratio Mathematica, 2017
In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad, Nasiruzzaman Mohammad, Wafi Abdul   +2 more
doaj   +1 more source

Rate of Approximation for Modified Lupaş-Jain-Beta Operators

Journal of Function Spaces, 2020
The main intent of this paper is to innovate a new construction of modified Lupaş-Jain operators with weights of some Beta basis functions whose construction depends on σ such that σ0=0 and infx∈0,∞σ′x≥1.
M. Qasim, Asif Khan, Zaheer Abbas, Princess Raina, Qing-Bo Cai   +4 more
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Weak convergence of Galerkin approximations for fractional elliptic stochastic PDEs with spatial white noise [PDF]

, 2018
The numerical approximation of the solution to a stochastic partial differential equation with additive spatial white noise on a bounded domain is considered.
Bolin, David, Kirchner, Kristin, Kovács, Mihály   +2 more
core   +2 more sources

Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries

Demonstratio Mathematica, 2018
We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2 π/r-periodic functions.
Łenski Włodzimierz, Szal Bogdan
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Rates of approximation by ReLU shallow neural networks

Journal of Complexity, 2023
Neural networks activated by the rectified linear unit (ReLU) play a central role in the recent development of deep learning. The topic of approximating functions from Hölder spaces by these networks is crucial for understanding the efficiency of the induced learning algorithms.
Mao, Tong, Zhou, Ding-Xuan
openaire   +3 more sources