15 citations · 39 across the 15 of their papers we have counts for
5 papers · 1 filter
Approximation by multivariate Kantorovich-Kotelnikov operators
Yu. Kolomoitsev, M. Skopina
Approximation properties of multivariate Kantorovich-Kotelnikov type operators generated by different band-limited functions are studied. In particular, a wide class of functions w…
On weighted conditions for the absolute convergence of Fourier integrals
Yu. Kolomoitsev, E. Liflyand
In this paper we obtain new sufficient conditions for representation of a function as an absolutely convergent Fourier integral. Unlike those known earlier, these conditions are gi…
Inequalities in approximation theory involving fractional smoothness in ,
Yurii Kolomoitsev, Tetiana Lomako
In the paper, we study inequalities for the best trigonometric approximations and fractional moduli of smoothness involving the Weyl and Liouville-Grünwald derivatives in , $0…
Quasi-projection operators in the weighted spaces
Yurii Kolomoitsev, Maria Skopina
Approximation properties of multivariate quasi-projection operators are studied in the paper. Wide classes of such operators are considered, including the sampling and the Kantorov…
On the growth of Lebesgue constants for convex polyhedra
Yurii Kolomoitsev, Tetiana Lomako
In the paper, new estimates of the Lebesgue constant …