1 citations · 1 across the 7 of their papers we have counts for
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Reconstruction derivatives from values of functions belonging to Nikolskii-Besov classes of mixed smoothness in domains of a certain kind
S. N. Kudryavtsev
The article examines Nikolskii and Besov spaces with norms defined using "-averaged" mixed moduli of continuity for functions of appropriate orders, instead of mixed moduli of…
Extending functions from Nikolskii-Besov spaces of mixed smoothness beyond domains of certain kind
S. N. Kudryavtsev
The article examines Nikolskii and Besov spaces with norms defined using -averaged mixed moduli of continuity of functions of appropriate orders, instead of mixed moduli of co…
Extending functions from Nikolskii-Besov spaces of mixed smoothness beyond a cube
S. N. Kudryavtsev
The article examines Nikolskii and Besov spaces with norms defined using "-averaged" mixed moduli of continuity of functions of appropriate orders, instead of mixed moduli of…
An analogue of the Littlewood-Paley theorem for orthoprojectors onto wavelet subspaces
S. N. Kudryavtsev
The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the nonisotropic multiresolution analysis…
Upper estimate of the best accuracy of derivative reconstruction based on the values of functions of Besov classes with mixed smoothness
S. N. Kudryavtsev
The work provides an upper estimate of the best accuracy for the problem of reconstructing derivatives based on function values at a given number of points for the functions of Bes…
A Littlewood-Paley type theorem on orthoprojectors onto wavelet subspaces
S. N. Kudryavtsev
The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the multidimensional multiresolution analy…
A Littlewood-Paley type theorem on orthoprojectors onto mutually orthogonal subspaces of piecewise polynomial functions and its corollary
S. N. Kudryavtsev
The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto mutually orthogonal subspaces of piecewise polynomial functions on the cube $…