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math.NA2023★ 4 cited
Bounds for the sampling discretization error and their applications to the universal sampling discretization
E. D. Kosov, V. N. Temlyakov
In the first part of the paper we study absolute error of sampling discretization of the integral -norm for function classes of continuous functions. We use basic approaches f…
math.FA2023★ 6 cited
Sampling discretization of the uniform norm and applications
E. D. Kosov, V. N. Temlyakov
Discretization of the uniform norm of functions from a given finite dimensional subspace of continuous functions is studied. Previous known results show that for any -dimensiona…