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07/09/2023
Lebesgue-type inequalities in sparse sampling recovery
Recently, it has been discovered that results on universal sampling disc...
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01/29/2023
Random points are good for universal discretization
Recently, there was a big progress in studying sampling discretization o...
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01/14/2023
Universal discretization and sparse sampling recovery
Recently, it was discovered that for a given function class 𝐅 the error ...
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08/20/2022
Some improved bounds in sampling discretization of integral norms
The paper addresses a problem of sampling discretization of integral nor...
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08/03/2022
On cardinality of the lower sets and universal discretization
A set Q in ℤ_+^d is a lower set if (k_1,…,k_d)∈ Q implies (l_1,…,l_d)∈ Q...
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09/18/2021
Sampling discretization of integral norms and its application
The paper addresses the problem of sampling discretization of integral n...
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07/23/2021
Universal sampling discretization
Let X_N be an N-dimensional subspace of L_2 functions on a probability s...
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12/17/2020
Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness
Results on asymptotic characteristics of classes of functions with mixed...
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10/07/2020
On optimal recovery in L_2
We prove that the optimal error of recovery in the L_2 norm of functions...
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01/25/2020
Sampling discretization of integral norms
The paper is devoted to discretization of integral norms of functions fr...
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11/06/2019
Sparse approximation of individual functions
Results on two different settings of asymptotic behavior of approximatio...
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02/28/2016