scientific article; zbMATH DE number 3893723
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Publication:5186127
zbMath0561.41022MaRDI QIDQ5186127
Publication date: 1984
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Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)
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Relative \(n\)-widths of periodic convolution classes with NCVD-kernel and B-kernel ⋮ Relative widths of Sobolev classes in the uniform and integral metrics ⋮ Sharpening of the estimates for relative widths of classes of differentiable functions ⋮ Exact values of relative widths of classes of differentiable functions ⋮ On best uniform approximation by splines in the presence of restrictions on their derivatives ⋮ Relative average widths of Sobolev spaces in \(L_2({\mathbb R}^d)\) ⋮ Relative widths of smooth functions determined by fractional order derivatives ⋮ Linear relative \(n\)-widths for linear operators preserving an intersection of cones ⋮ Relative widths of the function classes \(L_2(T)\) defined by a linear differential operator in \(L_q(T)\) ⋮ Relative infinite-dimensional width of Sobolev classes ⋮ Relative widths of smooth functions determined by linear differential operator ⋮ The relative \(n\)-widths of Sobolev classes with restrictions ⋮ The best \(L_ 1\)-approximations by splines in the presence of restrictions on their derivatives ⋮ Shape preserving widths of Sobolev-type classes of \(s\)-monotone functions on a finite interval.
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