Optimal rates of convergence of some iterative approximation methods for the solution of fredholm equations in spaces of periodic analytic functions

1994 ◽  
Vol 46 (9) ◽  
pp. 1327-1335
Author(s):  
S. V. Pereverzev ◽  
M. Askarov
Keyword(s):  
Analytic Functions ◽  
Rates Of Convergence ◽  
Approximation Methods ◽  
Iterative Approximation ◽  
Fredholm Equations ◽  
Optimal Rates Of Convergence

Optimal Rates of Convergence for Deconvolving a Density

1988 ◽  
Author(s):  
Raymond J. Carroll ◽  
Peter Hall
Keyword(s):  
Rates Of Convergence ◽  
Optimal Rates Of Convergence

scholarly journals The General Hybrid Approximation Methods for Nonexpansive Mappings in Banach Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-19
Author(s):  
Rabian Wangkeeree
Keyword(s):  
Reflexive Banach Space ◽  
Nonexpansive Mappings ◽  
Linear Operators ◽  
Duality Mapping ◽  
Approximation Methods ◽  
Iterative Approximation ◽  
Bounded Linear ◽  
Weakly Continuous ◽  
Weakly Continuous Duality Mapping ◽  
Hybrid Approximation

We introduce two general hybrid iterative approximation methods (one implicit and one explicit) for finding a fixed point of a nonexpansive mapping which solving the variational inequality generated by two strongly positive bounded linear operators. Strong convergence theorems of the proposed iterative methods are obtained in a reflexive Banach space which admits a weakly continuous duality mapping. The results presented in this paper improve and extend the corresponding results announced by Marino and Xu (2006), Wangkeeree et al. (in press), and Ceng et al. (2009).

scholarly journals Optimal rates of convergence for estimating Toeplitz covariance matrices

2012 ◽  
Vol 156 (1-2) ◽  
pp. 101-143 ◽  
Author(s):  
T. Tony Cai ◽  
Zhao Ren ◽  
Harrison H. Zhou
Keyword(s):  
Rates Of Convergence ◽  
Covariance Matrices ◽  
Optimal Rates Of Convergence

scholarly journals BLOCK THRESHOLDING FOR A DENSITY ESTIMATION PROBLEM WITH A CHANGE-POINT

2009 ◽  
Vol 02 (04) ◽  
pp. 545-555 ◽  
Author(s):  
Christophe Chesneau
Keyword(s):  
Density Estimation ◽  
Change Point ◽  
General Framework ◽  
Rates Of Convergence ◽  
Estimation Problem ◽  
Adaptive Estimator ◽  
Function Classes ◽  
Wide Range ◽  
Optimal Rates Of Convergence ◽  
Block Thresholding

We consider a density estimation problem with a change-point. The contribution of the paper is theoretical: we develop an adaptive estimator based on wavelet block thresholding and we evaluate these performances via the minimax approach under the 𝕃p risk with p ≥ 1 over a wide range of function classes: the Besov classes, [Formula: see text] (with no particular restriction on the parameters π and r). Under this general framework, we prove that it attains near optimal rates of convergence.

scholarly journals Optimal rates of convergence for covariance matrix estimation

2010 ◽  
Vol 38 (4) ◽  
pp. 2118-2144 ◽  
Author(s):  
T. Tony Cai ◽  
Cun-Hui Zhang ◽  
Harrison H. Zhou
Keyword(s):  
Covariance Matrix ◽  
Rates Of Convergence ◽  
Covariance Matrix Estimation ◽  
Matrix Estimation ◽  
Optimal Rates Of Convergence
Sign in / Sign up

Export Citation Format

Share Document