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math.FA2022
Volume estimates and their applications in the problem of optimal recovery
Alexander Kushpel
We study volumes of sections of convex origin-symmetric bodies in induced by orthonormal systems on probability spaces. The approach is based on volume estimates…
math.FA2015
Polynomials with small norm on compact Riemannian homogeneous manifolds
A. Kushpel
We consider the problem of existence of polynomials with small norm. This range of problems has been extensively studied by many authors in the case of the unit circle (or a compac…
math.FA2015★ 1 cited
Entropy of Sobolev's classes on Compact Homogeneous Riemannian Manifolds
A. Kushpel, J. Levesley
We develop a general method to calculate entropy numbers of standard Sobolev's classes on an arbitrary compact homogeneous Riemannian manifold. Our method is essentially based on a…