Results 31 to 40 of about 632,681 (338)

A new approach to nonlinear singular integral operators depending on three parameters

open access: yesOpen Mathematics, 2016
In this paper, we present some theorems on weighted approximation by two dimensional nonlinear singular integral operators in the following form: Tλ(f;x,y)=∬R2Kλ(t−x,s−y,f(t,s))dsdt,(x,y)∈R2,λ∈Λ,$${T_\lambda }(f;x,y) = \iint\limits_{{\mathbb{R}^2}}K_ ...
Uysal Gumrah
doaj   +1 more source

Chebyshev Approximations by Least Squares Method

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
We consider the problem of linear approximation in the form of the minimization problem of the weighted Chebyshev norm, and that in the form of the minimization problem of the weighted Euclidean norm of the residual vector.
V.I. Zorkaltsev, E. V. Gubiy
doaj   +1 more source

On a Problem of Weighted Low-Rank Approximation of Matrices

open access: yes, 2017
We study a weighted low rank approximation that is inspired by a problem of constrained low rank approximation of matrices as initiated by the work of Golub, Hoffman, and Stewart (Linear Algebra and Its Applications, 88-89(1987), 317-327).
Dutta, Aritra, Li, Xin
core   +1 more source

Approximation with exponential weights in [−1,1]

open access: yesJournal of Mathematical Analysis and Applications, 2002
Let \(w(x):=\exp(-1/(1-x^2)^\alpha)\), \(\alpha>0\), \(|x|
DELLA VECCHIA, Biancamaria   +2 more
openaire   +3 more sources

Weighted Best Local Approximation

open access: yesAnalysis in Theory and Applications, 2016
Fil: Favier, Sergio José. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis.
Ridolfi, Claudia Vanina   +1 more
openaire   +3 more sources

A Fast Algorithm for a Weighted Low Rank Approximation

open access: yes, 2017
Matrix low rank approximation including the classical PCA and the robust PCA (RPCA) method have been applied to solve the background modeling problem in video analysis.
dutta   +6 more
core   +1 more source

New moduli of smoothness: weighted DT moduli revisited and applied

open access: yes, 2014
We introduce new moduli of smoothness for functions $f\in L_p[-1,1]\cap C^{r-1}(-1,1)$, $1\le p\le\infty$, $r\ge1$, that have an $(r-1)$st locally absolutely continuous derivative in $(-1,1)$, and such that $\varphi^rf^{(r)}$ is in $L_p[-1,1]$, where ...
Kopotun, K. A.   +2 more
core   +1 more source

Weighted approximation: Korovkin and quantitative type theorems

open access: yesModern Mathematical Methods, 2023
In the present paper, we consider Korovkin and quantitative theorems, which have been treated by various authors to date, under weighted approximation.
Ali Aral
doaj  

Comments on "On Approximating Euclidean Metrics by Weighted t-Cost Distances in Arbitrary Dimension"

open access: yes, 2012
Mukherjee (Pattern Recognition Letters, vol. 32, pp. 824-831, 2011) recently introduced a class of distance functions called weighted t-cost distances that generalize m-neighbor, octagonal, and t-cost distances.
Barni   +17 more
core   +1 more source

Approximate Weights

open access: yesThe Annals of Mathematical Statistics, 1948
The greatest fractional increase in variance when a weighted mean is calculated with approximate weights is, quite closely, the square of the largest fractional error in an individual weight. The average increase will be about one-half this amount. The use of weights accurate to two significant figures, or even to the nearest number of the form: 10, 11,
openaire   +2 more sources

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