Yurii Kolomoitsev

collaborators

3 papers

math.FA2026

Approximation by Kantorovich-type operators in general Banach spaces

Yurii Kolomoitsev

This paper investigates the approximation properties of linear Kantorovich-type sampling operators in the setting of general Banach lattices $X$ on the torus $T$ and the r…

math.FA2026

Approximation by linear sampling operators in Banach spaces

Yurii Kolomoitsev

This paper studies approximation properties of linear sampling operators in general Banach lattices $X$ . We obtain matching direct and inverse approximation estimates, convergence…

math.NA2025

Special measures of smoothness for approximation by sampling operators in $L_{p} (R^{d})$

Yurii Kolomoitsev

Traditional measures of smoothness often fail to provide accurate $L_{p}$ -error estimates for approximation by sampling or interpolation operators, especially for functions with low…

Approximation by Kantorovich-type operators in general Banach spaces

Approximation by linear sampling operators in Banach spaces

Special measures of smoothness for approximation by sampling operators in Lp​(Rd)

Special measures of smoothness for approximation by sampling operators in $L_{p} (R^{d})$