Kolmogorov-type inequalities for norms of Riesz derivatives of functions of several variables with Laplacian bounded in \(L_\infty\) and related problems
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Publication:2341952
DOI10.1134/S0001434614010015zbMath1314.41006OpenAlexW2027762139MaRDI QIDQ2341952
S. A. Pichugov, Nataliia Viktorivna Parfinovych, Vladislav F. Babenko
Publication date: 8 May 2015
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434614010015
Banach spaceLaplacianRiesz derivativeKolmogorov-type inequalityoptimal recovery problem for operatorsStechkin approximation problem
Related Items (8)
On approximation of hypersingular integral operators by bounded ones ⋮ Best uniform approximation of the differentiation operator by operators bounded in the space \(L_2\) ⋮ On a general approach to some problems of approximation of operators ⋮ Uniform approximation of differentiation operators by bounded linear operators in the space \(L_r\) ⋮ Estimation of the uniform norm of one-dimensional Riesz potential of the partial derivative of a function with bounded Laplacian ⋮ Optimal recovery of a derivative of an analytic function from values of the function given with an error on a part of the boundary ⋮ Kolmogorov-type inequalities for the norms of fractional derivatives of functions defined on the positive half line ⋮ Kolmogorov type inequalities for the Marchaud fractional derivatives on the real line and the half-line
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