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07/08/2023
On universal sampling recovery in the uniform norm
It is known that results on universal sampling discretization of the squ...
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06/25/2023
Sampling discretization of the uniform norm and applications
Discretization of the uniform norm of functions from a given finite dime...
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04/19/2023
Rate of convergence of Thresholding Greedy Algorithms
The rate of convergence of the classical Thresholding Greedy Algorithm w...
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04/13/2023
On the rate of convergence of greedy algorithms
We prove some results on the rate of convergence of greedy algorithms, w...
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03/14/2022
Sampling discretization error of integral norms for function classes with small smoothness
We consider infinitely dimensional classes of functions and instead of t...
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01/02/2022
On universal sampling representation
For the multivariate trigonometric polynomials we study convolution with...
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03/13/2020
On the fixed volume discrepancy of the Korobov point sets
This paper is devoted to the study of a discrepancy-type characteristic ...
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03/01/2015
Constructive sparse trigonometric approximation for functions with small mixed smoothness
The paper gives a constructive method, based on greedy algorithms, that ...
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01/01/2014