AbstractIn this paper, we obtain some weak asymptotic results for average Kolmogorov σ-width and average linear σ-width of some isotropic and anisotropic Besov classes. The asymptotic behavior of optimal recovery is established for isotropic Besov classes
AbstractThe Kolmogorov, Gelfand, linear and orthoprojection widths of the classes of functions with ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...
AbstractIn this paper, we obtain some weak asymptotic results for average Kolmogorov σ-width and ave...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractThe Kolmogorov width of the classes of functions with mixed smoothness in the anisotropic sp...
AbstractIn this paper, we introduce the concept of φ-average dimension far some subspaces of L[formu...
AbstractIn this paper, we introduce the concept of φ-average dimension far some subspaces of L[formu...
AbstractThis paper deals with the approximation problem on anisotropic Besov classes SpθrB(Rd),p=(p1...
AbstractIn this paper, we determine the asymptotic degree of the linear average and stochastic n-wid...
AbstractWe introduce the Besov spaces BpθΩ(Sd−1) of generalized smoothness on the sphere Sd−1, and o...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smoot...
This article considers the approximation problem on periodic functions of anisotropic Besov classes ...
AbstractThe Kolmogorov, Gelfand, linear and orthoprojection widths of the classes of functions with ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...
AbstractIn this paper, we obtain some weak asymptotic results for average Kolmogorov σ-width and ave...
AbstractWe study the Kolmogorov m-widths dm(Bsα(Lτ,μ),Lp,μ) and the linear m-widths δm(Bsα(Lτ,μ),Lp,...
AbstractThe Kolmogorov width of the classes of functions with mixed smoothness in the anisotropic sp...
AbstractIn this paper, we introduce the concept of φ-average dimension far some subspaces of L[formu...
AbstractIn this paper, we introduce the concept of φ-average dimension far some subspaces of L[formu...
AbstractThis paper deals with the approximation problem on anisotropic Besov classes SpθrB(Rd),p=(p1...
AbstractIn this paper, we determine the asymptotic degree of the linear average and stochastic n-wid...
AbstractWe introduce the Besov spaces BpθΩ(Sd−1) of generalized smoothness on the sphere Sd−1, and o...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
AbstractWe study the Kolmogorov n-widths dn(BWp,μr,Lq,μ) and the linear n-widths δn(BWp,μr,Lq,μ) of ...
In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smoot...
This article considers the approximation problem on periodic functions of anisotropic Besov classes ...
AbstractThe Kolmogorov, Gelfand, linear and orthoprojection widths of the classes of functions with ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...
We study the problem of density estimation on $[0,1]$ under $\mathbb{L}^p$ norm. We carry out a new ...