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04/02/2021
A remark on discretization of the uniform norm
Discretization of the uniform norm of functions from a given finite dime...
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12/22/2020
Approximation of functions with small mixed smoothness in the uniform norm
In this paper we present results on asymptotic characteristics of multiv...
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09/22/2020
On sampling discretization in L_2
A sampling discretization theorem for the square norm of functions from ...
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08/29/2020
A remark on entropy numbers
Talagrand's fundamental result on the entropy numbers is slightly improv...
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05/12/2020
Sampling discretization of integral norms of the hyperbolic cross polynomials
The paper is devoted to discretization of integral norms of functions fr...
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03/30/2020
Numerical integration without smoothness assumption
We consider numerical integration in classes, for which we do not impose...
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01/15/2020
Biorthogonal greedy algorithms in convex optimization
The study of greedy approximation in the context of convex optimization ...
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08/13/2019
On the fixed volume discrepancy of the Fibonacci sets in the integral norms
This paper is devoted to the study of a discrepancy-type characteristic ...
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11/05/2015
Sparse approximation by greedy algorithms
It is a survey on recent results in constructive sparse approximation. T...
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11/04/2015
Dictionary descent in optimization
The problem of convex optimization is studied. Usually in convex optimiz...
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12/10/2014
Convergence and rate of convergence of some greedy algorithms in convex optimization
The paper gives a systematic study of the approximate versions of three ...
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12/04/2013
Chebushev Greedy Algorithm in convex optimization
Chebyshev Greedy Algorithm is a generalization of the well known Orthogo...
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03/27/2013
Sparse approximation and recovery by greedy algorithms in Banach spaces
We study sparse approximation by greedy algorithms. We prove the Lebesgu...
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01/10/2013