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Analyzing Weighted $\ell_1$ Minimization for Sparse Recovery with Nonuniform Sparse Models\footnote{The results of this paper were presented in part at the International Symposium on Information Theory, ISIT 2009}
Analyzing Weighted $\ell_1$ Minimization Sparse Recovery International Symposium Information Theory
2010/12/8
In this paper we introduce a nonuniform sparsity model and analyze the performance of an optimized weighted ℓ1 minimization over that sparsity model. In particular, we focus on a model where the...
Local Property of Absolute Weighted Mean Summability of Fourier Series
Local property Fourier series absolute summability H¨older’s inequality Minkowski’s inequality
2009/6/16
We obtain a general theorem on a local property of j T jk summability of factored
Fourier series generalizing some previous result due to Rhoades and Savas [5]. Another
result concerning j T jk of F...
TAUBERIAN THEOREMS FOR THE OPERATOR OF WEIGHTED MEANS
matrix of weighted means Tauberian theorem infinite matrix
2008/11/26
In this paper we start with the Hardy’s well-known Tauberian theorem for Ces`aro
means formulated as follows, if the sequence X = (xn)n satisfies limC1X = L and
Dxn = O(1=n) then limX = L. We give h...