886 research outputs found
Estimates for norms of two-weighted summation operators on trees for
In this paper, estimates for norms of weighted summation operators (discrete
Hardy-type operators) on a tree are obtained for and for
arbitrary weights and trees
An embedding theorem for weighted Sobolev classes on a John domain: case of weights that are functions of a distance to a certain h-set
Let be a John domain, and let be an
-set. For some functions and some weight functions depending on distance
from , embedding theorems for a weighted Sobolev class is obtained
Estimates for norms of two-weighted summation operators on a tree under some conditions on weights
Two-side estimates for two-weighted discrete Hardy-type operators on a tree
are obtained. For general weights we prove the discrete analogue of Evans -
Harris - Pick theorem (it is a quite simple consequence from their result). It
gives the order estimate for the norm of the weighted summation operator, but
this estimate is rather complicated. Under some conditions on weights, we
obtain estimates which are more simple and convenient for applications
Widths of weighted Sobolev classes with weights that are functions of distance to some h-set: some limiting cases
Here we obtain order estimates for widths of weighted Sobolev classes in the
weighted Lebesgue space where parameters of the second weight satisfy some
limiting conditions
Kolmogorov and linear widths of the weighted Besov classes with singularity at the origin
In this paper we obtain asymptotic estimates of Kolmogorov and linear widths
of the weighted Besov classes with singularity at the origin. In addition,
estimates of Kolmogorov and linear widths of finite-dimensional balls in a
mixed norm are obtained
Entropy numbers of embedding operators of weighted Sobolev spaces with weights that are functions of distance from some h-set
In this paper order estimates for entropy numbers of embeddings of weighted
Sobolev spaces on a John domain are obtained. In addition, we obtain order
estimates for entropy numbers of summation operators on trees
Estimates for entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases
In this paper we obtain order estimates for entropy numbers of embeddings of
weighted Sobolev spaces into weighted Lebesgue spaces and of weighted summation
operators on trees. Here we consider some critical conditions on the
parameters.Comment: arXiv admin note: text overlap with arXiv:1503.0014
Widths of weighted Sobolev classes on a domain with a peak: some limiting cases
Order estimates for Kolmogorov, Gelfand and linear widths of a weighted
Sobolev class on a domain with a peak in a weighted Lebesgue space are obtained
for some special weights
Widths of function classes on sets with tree-like structure
In this paper, estimates for Kolmogorov, Gelfand and linear widths of
function classes on sets with a tree-like structure are obtained. As examples
we consider weighted Sobolev classes on a John domain, as well as some function
classes on a metric and combinatorial tree
Unconditionally stable schemes for non-stationary convection-diffusion equations
Convection-diffusion problem are the base for continuum mechanics. The main
features of these problems are associated with an indefinite operator the
problem. In this work we construct unconditionally stable scheme for
non-stationary convection-diffusion equations, which are based on use of new
variables. Also, we consider these equations in the form of
convection-diffusion-reaction and construct unconditionally stable schemes when
explicit-implicit approximations are used with splitting of the reaction
operator
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