We find lower bounds for linear and Alexandrov's cowidths of Sobolev's classes on Compact Riemannian homogeneous manifolds M-d. Using these results we give an explicit solution of the problem of optimal reconstruction of functions from Sobolev's classes W-p(y) (M-d) in L-q (M-d), 1 <= q <= p <= infinity.134SI45947
In this paper, we specify a set of optimal subspaces for L2 approximation of three classes of funct...
In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smoot...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
Abstract. In this paper optimal recovery problems of linear functionals on classes of smooth and ana...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractThe usual approach to optimal recovery is based on the information obtained through function...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractWe study the second best constant problem for logarithmic Sobolev inequalities on complete R...
International audienceWe consider the best approximation of some function classes by the manifold M-...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
We determine upper asymptotic estimates of Kolmogorov and linear $n$-widths of unit balls in Sobolev...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
AbstractEstimates of Kolmogorov n-widths dn(Bpr,Lq) and linear n-widths δn(Bpr,Lq), (1⩽q⩽∞) of Sobol...
In this paper, we specify a set of optimal subspaces for L2 approximation of three classes of funct...
In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smoot...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
Abstract. In this paper optimal recovery problems of linear functionals on classes of smooth and ana...
AbstractLet (M,g) be a smooth compact RiemannianN-manifold,N⩾2, letp∈(1,N) real, and letHp1(M) be th...
AbstractWe prove that the best constant in the Sobolev inequality (W1, P ⊂ Lp* with 1/p* = 1/p − 1/n...
AbstractThe usual approach to optimal recovery is based on the information obtained through function...
AbstractWe investigate the radial manifolds Rn generated by a linear combination of n radial functio...
AbstractLet (M,g) be a smooth compact Riemannian manifold, with or without boundary, of dimension n⩾...
AbstractWe study the second best constant problem for logarithmic Sobolev inequalities on complete R...
International audienceWe consider the best approximation of some function classes by the manifold M-...
AbstractThe concepts of three ∞-widths are proposed and some of their properties are studied in this...
We determine upper asymptotic estimates of Kolmogorov and linear $n$-widths of unit balls in Sobolev...
AbstractGiven a smooth compact Riemannian n-dimensional manifold, consider the Sobolev inequality ‖2...
AbstractEstimates of Kolmogorov n-widths dn(Bpr,Lq) and linear n-widths δn(Bpr,Lq), (1⩽q⩽∞) of Sobol...
In this paper, we specify a set of optimal subspaces for L2 approximation of three classes of funct...
In this paper, we study the infinite dimensional widths and optimal recovery of Wiener–Sobolev smoot...
AbstractWe consider best approximation of some function classes by the manifold Mn consisting of sum...
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