37 citations · 93 across the 18 of their papers we have counts for
19 papers
Harmonic Analysis on the Space of M-positive Vectors
Yu. Farkov, M. Skopina
Given a dilation matrix M, a so-called space of M-positive vectors in the Euclidean space is introduced and studied. An algebraic structure of this space is similar to the positive…
Uniform approximation by multivariate quasi-projection operators
Yurii Kolomoitsev, Maria Skopina
Approximation properties of quasi-projection operators are studied. Such an operator is associated with a function satisfying the Strang-Fix conditions…
Approximation by multivariate quasi-projection operators and Fourier multipliers
Yurii Kolomoitsev, Maria Skopina
Multivariate quasi-projection operators , associated with a function and a distribution/function , are considered. The function is suppo…
Approximation by periodic multivariate quasi-projection operators
Yu. Kolomoitsev, A. Krivoshein, M. Skopina
Approximation properties of periodic quasi-projection operators with matrix dilations are studied. Such operators are generated by a sequence of functions and a sequence of d…
Approximation by sampling-type operators in -spaces
Yurii Kolomoitsev, Maria Skopina
Approximation properties of the sampling-type quasi-projection operators for functions from anisotropic Besov spaces are studied. Error estimates in $L_…
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…