57 citations · 78 across the 4 of their papers we have counts for
4 papers
Spherical coverings and X-raying convex bodies of constant width
A. Bondarenko, A. Prymak, D. Radchenko
K. Bezdek and Gy. Kiss showed that existence of origin-symmetric coverings of unit sphere in by at most congruent spherical caps with radius not exceeding $\ar…
Sampling discretization of integral norms
F. Dai, A. Prymak, A. Shadrin +2
The paper is devoted to discretization of integral norms of functions from a given finite dimensional subspace. Even though this problem is extremely important in applications, its…
Integral norm discretization and related problems
F. Dai, A. Prymak, V. N. Temlyakov +1
The problem of replacing an integral norm with respect to a given probability measure by the corresponding integral norm with respect to a discrete measure is discussed in the pape…
Upper estimates of Christoffel function on convex domains
A. Prymak
New upper bounds on the pointwise behaviour of Christoffel function on convex domains in are obtained. These estimates are established by explicitly constructing t…