Author

Y. Volynets

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Preprint Sep 2026

Numerical differentiation of functions on the half-line in a weighted uniform metric

We consider the problem of numerical differentiation of functions defined on the half-line: the derivative $f^{(r)}$, $ r=1,2,\ldots$, is recovered from a finite set of perturbed Fourier--Laguerre coefficients of a function $f$, whose error is measured in $\ell_p$, while the accuracy of approximation is measured in the...

S. Solodky, Y. Volynets · 1 citation

Preprint Oct 2026

Diagonal recovery from noisy Fourier--Hermite coefficients: exact orders of the error

We consider the recovery of functions of the weighted Wiener classes $W_s^\mu$ from perturbed Fourier--Hermite coefficients in the metric of $L_\infty(\mathbb R)$. For the summation methods of the class $\mathcal S^\theta$ we find error estimates on $W_s^\mu$. The estimates take into account the behaviour of the Hermit...

S. Solodky, Y. Volynets · 0 citations