Results 31 to 40 of about 631,044 (314)
A new approach to nonlinear singular integral operators depending on three parameters
Open 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
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Complexity of Weighted Approximation over Rd
Journal of Complexity, 2000 AbstractWe study approximation of multivariate functions defined over Rd. We assume that all rth order partial derivatives of the functions considered are continuous and uniformly bounded. Approximation algorithms U(f) only use the values of f or its partial derivatives up to order r.
Wasilkowski, Grzegorz W. +1 more
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Chebyshev Approximations by Least Squares Method
Известия 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
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Approximation of functions of two variables by certain linear positive operators
, 2007 We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables.
Bascanbaz-Tunca, Gulen +2 more
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Pointwise Approximation Theorems for Combinations of Bernstein Polynomials With Inner Singularities
, 2010 We give direct and inverse theorems for the weighted approximation of functions with inner singularities by combinations of Bernstein polynomials.Comment: 13 pages ...
Lu, Wen-Ming, Zhang, Lin
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Approximation with exponential weights in [−1,1]
Journal of Mathematical Analysis and Applications, 2002 Let \(w(x):=\exp(-1/(1-x^2)^\alpha)\), \(\alpha>0\), \(|x|
DELLA VECCHIA, Biancamaria +2 more
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Approximation numbers of weighted composition operators [PDF]
, 2016 We study the approximation numbers of weighted composition operators $f\mapsto w\cdot(f\circ\varphi)$ on the Hardy space $H^2$ on the unit disc. For general classes of such operators, upper and lower bounds on their approximation numbers are derived. For
Lechner, Gandalf +3 more
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Weighted Best Local Approximation
Analysis 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
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Weighted approximation: Korovkin and quantitative type theorems
Modern 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
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Weighted Low Rank Approximation for Background Estimation Problems
, 2017 Classical principal component analysis (PCA) is not robust to the presence of sparse outliers in the data. The use of the $\ell_1$ norm in the Robust PCA (RPCA) method successfully eliminates the weakness of PCA in separating the sparse outliers. In this
Dutta, Aritra, Li, Xin
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