Let I be a nite interval, r 2 N and (t) = distft; @Ig, t 2 I. Denote by p; , 0 < 1, the class of functions x on I with the seminorm kx k Lp 1 for which x, > 0, is nonnegative on I. We obtain two-sided estimates of the Kolmogorov widths dn and of the linear widths dn , s = 0; 1; : : : ; r + 1. x1
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
AbstractThe exact values of Kolmogorov n-widths have been calculated for two basic classes of functi...
We consider non-negative solutions to a class of second-order degenerate Kolmogorov operators of the...
AbstractLet I be a finite interval, r∈N and ρ(t)=dist{t, ∂I}, t∈I. Denote by Δs+Wrp, α, 0⩽α<∞, the c...
Let I be a nite interval, r 2 N and (t) = distft; @Ig, t 2 I. Denote by the subset of all functi...
AbstractOptimal estimates of Kolmogorov’s n-widths, linear n-widths and Gelfand’s n-widths of the we...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
AbstractEstimates of Kolmogorov n-widths dn(Bpr,Lq) and linear n-widths δn(Bpr,Lq), (1⩽q⩽∞) of Sobol...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractFor two subsets W and V of a normed space X. The relative Kolmogorov n-width of W relative t...
AbstractThe Kolmogorov width of the classes of functions with mixed smoothness in the anisotropic sp...
We consider Kolmogorov widths of finite sets of functions. Any orthonormal system of $N$ functions i...
In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on ...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
AbstractThe exact values of Kolmogorov n-widths have been calculated for two basic classes of functi...
We consider non-negative solutions to a class of second-order degenerate Kolmogorov operators of the...
AbstractLet I be a finite interval, r∈N and ρ(t)=dist{t, ∂I}, t∈I. Denote by Δs+Wrp, α, 0⩽α<∞, the c...
Let I be a nite interval, r 2 N and (t) = distft; @Ig, t 2 I. Denote by the subset of all functi...
AbstractOptimal estimates of Kolmogorov’s n-widths, linear n-widths and Gelfand’s n-widths of the we...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
AbstractEstimates of Kolmogorov n-widths dn(Bpr,Lq) and linear n-widths δn(Bpr,Lq), (1⩽q⩽∞) of Sobol...
AbstractLet W and V be centrally symmetric sets in a normed space X. The relative Kolmogorov n-width...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractLet Sd−1≔{(x1,…,xd)∈Rd:x21+···+x2d=1} be the unit sphere of the d-dimensional Euclidean spac...
AbstractFor two subsets W and V of a normed space X. The relative Kolmogorov n-width of W relative t...
AbstractThe Kolmogorov width of the classes of functions with mixed smoothness in the anisotropic sp...
We consider Kolmogorov widths of finite sets of functions. Any orthonormal system of $N$ functions i...
In this article, we obtain the order estimates for the Kolmogorov widths of sets with conditions on ...
AbstractLet E be a compact subset of the open unit disc Δ and let Hq be the Hardy space of analytic ...
AbstractThe exact values of Kolmogorov n-widths have been calculated for two basic classes of functi...
We consider non-negative solutions to a class of second-order degenerate Kolmogorov operators of the...