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pro vyhledávání: '"Kudryavtsev, S. N."'
Autor:
Kudryavtsev, S. N.
The article examines Nikolskii and Besov spaces with norms defined using "$L_p$-averaged" mixed moduli of continuity for functions of appropriate orders, instead of mixed moduli of continuity of known orders for certain mixed derivative functions. Th
Externí odkaz:
http://arxiv.org/abs/2209.15541
Autor:
Kudryavtsev, S. N.
The article examines Nikolskii and Besov spaces with norms defined using $L_p$-averaged mixed moduli of continuity of functions of appropriate orders, instead of mixed moduli of continuity of known orders for certain mixed derivative functions. The a
Externí odkaz:
http://arxiv.org/abs/2101.04029
Autor:
Kudryavtsev, S. N.
The article examines Nikolskii and Besov spaces with norms defined using "$L_p$-averaged" mixed moduli of continuity of functions of appropriate orders, instead of mixed moduli of continuity of known orders for certain mixed derivative functions. The
Externí odkaz:
http://arxiv.org/abs/1902.10368
Autor:
Kudryavtsev, S. N.
The article examines isotropic Nikolskii and Besov spaces with norms defined using $L_p$-averaged modulus of continuity of functions of appropriate order, instead of modulus of continuity of known order for fixed-order partial derivative functions. T
Externí odkaz:
http://arxiv.org/abs/1805.10625
Autor:
Kudryavtsev, S. N.
The article examines nonisotropic Nikolskii and Besov spaces with norms defined using $L_p$-averaged moduli of continuity of functions of appropriate orders along the coordinate directions, instead of moduli of continuity of known orders for derivati
Externí odkaz:
http://arxiv.org/abs/1703.09734
Autor:
Kudryavtsev, S. N.
The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the nonisotropic multiresolution analysis generated as tensor product of smooth scaling single-variable function
Externí odkaz:
http://arxiv.org/abs/1504.00348
Autor:
Kudryavtsev, S. N.
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 Besov classes meeting the mixed Hoelder conditions. In some cases this es
Externí odkaz:
http://arxiv.org/abs/1401.3087
Autor:
Kudryavtsev, S. N.
The article proves an assertion analogous to the Littlewood-Paley theorem for the orthoprojectors onto wavelet subspaces corresponding to the multidimensional multiresolution analysis generated as tensor product of smooth finite scaling functions of
Externí odkaz:
http://arxiv.org/abs/1204.1830
Autor:
Kudryavtsev, S. N.
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 $ I^d. $ This assertion provides an upper estimate for the norms of the
Externí odkaz:
http://arxiv.org/abs/1111.5968
Autor:
Kudryavtsev, S. N.1 (AUTHOR) s_kudr@ccas.ru
Publikováno v:
Mathematical Notes. 2020, Vol. 108 Issue 5/6, p688-696. 9p.