I. A. Limar

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math.PR2023

Asymptotic analysis in multivariate worst case approximation with Gaussian kernels

A. A. Khartov, I. A. Limar

We consider a problem of approximation of $d$ -variate functions defined on $R^{d}$ which belong to the Hilbert space with tensor product-type reproducing Gaussian kernel wit…

math.PR2021

Asymptotic analysis in multivariate average case approximation with Gaussian kernels

A. A. Khartov, I. A. Limar

We consider tensor product random fields $Y_{d}$ , $d \in N$ , whose covariance funtions are Gaussian kernels. The average case approximation complexity $n^{Y_{d}} (ε)$ i…