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05/12/2023
Sampling recovery in uniform and other norms
We study the recovery of functions in the uniform norm based on function...
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05/09/2022
Exponential tractability of L_2-approximation with function values
We study the complexity of high-dimensional approximation in the L_2-nor...
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04/26/2022
A sharp upper bound for sampling numbers in L_2
For a class F of complex-valued functions on a set D, we denote by g_n(F...
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11/03/2020
Function values are enough for L_2-approximation: Part II
In the first part we have shown that, for L_2-approximation of functions...
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03/25/2020
On the worst-case error of least squares algorithms for L_2-approximation with high probability
It was recently shown in [4] that, for L_2-approximation of functions fr...
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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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05/07/2019
On L_2-approximation in Hilbert spaces using function values
We study L_2-approximation of functions from Hilbert spaces H in which f...
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01/20/2019
Deterministic constructions of high-dimensional sets with small dispersion
The dispersion of a point set P⊂[0,1]^d is the volume of the largest box...
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02/23/2018
Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces
In this paper, we deal with several aspects of the universal Frolov cuba...
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10/24/2017