01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
10.03.1956
E-mail:
Keywords:
approximation,
recovery,
space of functions,
operator,
optimal method,
width,
best precision,
orthoprojector,
mutually orthogonal subspaces,
piecewise polynomial functions,
Littlewood-Paley theorem.
Main publications:
Kudryavtsev S. N. Ob approksimatsiyakh funktsionalnykh kompaktov algebraicheskimi poverkhnostyami // Izvestiya AN SSSR, ser. matem., 1985, 49(6), 1246–1259.
Kudryavtsev S. N. Vosstanovlenie funktsii vmeste s ikh proizvodnymi po znacheniyam funktsii v zadannom chisle tochek // Izvestiya RAN, ser. matem., 1994, 58(6), 79–104.
Kudryavtsev S. N. Poperechniki klassov gladkikh funktsii // Izvestiya RAN, ser. matem., 1995, 59(4), 81–104.
Kudryavtsev S. N. Priblizhenie operatora chastnogo differentsirovaniya ogranichennymi operatorami na klasse funktsii konechnoi gladkosti // Matem. sbornik, 1996, 187(3), 75–92.
Kudryavtsev S. N. Nailuchshaya tochnost vosstanovleniya funktsii konechnoi gladkosti po ikh znacheniyam v zadannom chisle tochek // Izvestiya RAN, ser. matem., 1998, 62(1), 21–58.
S. N. Kudryavtsev, “Extension of Functions from Isotropic Nikol'skii–Besov Spaces and Their Approximation together with Derivatives”, Mat. Zametki, 108:5 (2020), 714–724; Math. Notes, 108:5 (2020), 688–696
2018
2.
S. N. Kudryavtsev, “Extension of functions in non-isotropic Nikolskii–Besov spaces and
approximation of their derivatives”, Izv. RAN. Ser. Mat., 82:5 (2018), 78–130; Izv. Math., 82:5 (2018), 931–983
S. N. Kudryavtsev, “Approximation and reconstruction of the derivatives of functions satisfying mixed Hölder conditions”, Izv. RAN. Ser. Mat., 71:5 (2007), 37–80; Izv. Math., 71:5 (2007), 895–938
S. N. Kudryavtsev, “Widths of classes of finitely smooth functions in Sobolev spaces”, Mat. Zametki, 77:4 (2005), 535–539; Math. Notes, 77:4 (2005), 494–498
S. N. Kudryavtsev, “Approximation of the derivatives of finitely smooth functions belonging to non-isotropic classes”, Izv. RAN. Ser. Mat., 68:1 (2004), 79–122; Izv. Math., 68:1 (2004), 77–123
S. N. Kudryavtsev, “The Stechkin problem for partial derivation operators on classes of finitely smooth functions”, Mat. Zametki, 67:1 (2000), 77–86; Math. Notes, 67:1 (2000), 61–68
S. N. Kudryavtsev, “The best accuracy of reconstruction of finitely smooth functions from their values at a given number of points”, Izv. RAN. Ser. Mat., 62:1 (1998), 21–58; Izv. Math., 62:1 (1998), 19–53
S. N. Kudryavtsev, “Approximating one class of finitely differentiable functions by another”, Izv. RAN. Ser. Mat., 61:2 (1997), 111–126; Izv. Math., 61:2 (1997), 347–362
S. N. Kudryavtsev, “Approximation of a partial differential operator by bounded operators on a class of functions of finite smoothness”, Mat. Sb., 187:3 (1996), 75–92; Sb. Math., 187:3 (1996), 385–402
S. N. Kudryavtsev, “Recovering a function with its derivatives from function values at a given number of points”, Izv. RAN. Ser. Mat., 58:6 (1994), 79–104; Russian Acad. Sci. Izv. Math., 45:3 (1995), 505–528
S. N. Kudryavtsev, “Recovery of the values of harmonic functions at a point from their values at other points”, Mat. Sb., 184:4 (1993), 3–22; Russian Acad. Sci. Sb. Math., 78:2 (1994), 397–410
16.
S. N. Kudryavtsev, “Approximate calculation of the Fourier coefficients of the function
$1/f$ with respect to the Fourier coefficients of the functions $f$”, Zh. Vychisl. Mat. Mat. Fiz., 33:2 (1993), 306–309; Comput. Math. Math. Phys., 33:2 (1993), 271–274
1992
17.
S. N. Kudryavtsev, “Some approximation problems for a class of functions with a prescribed majorant for the moduli of continuity of higher derivatives”, Mat. Zametki, 52:6 (1992), 45–52; Math. Notes, 52:6 (1992), 1201–1206
18.
S. N. Kudryavtsev, “Some problems in approximation theory for a class of functions of finite smoothness”, Mat. Sb., 183:2 (1992), 3–20; Russian Acad. Sci. Sb. Math., 75:1 (1993), 145–164
S. N. Kudryavtsev, “Approximations of compact sets of functions by piecewise polynomial surfaces in spaces of smooth functions”, Mat. Zametki, 49:6 (1991), 72–81; Math. Notes, 49:6 (1991), 603–610
1987
20.
S. N. Kudryavtsev, “On approximations of compact sets of functions by piecewise polynomial surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 51:6 (1987), 1142–1169; Math. USSR-Izv., 31:3 (1988), 455–480
1985
21.
S. N. Kudryavtsev, “On approximations of compact sets of functions by algebraic surfaces”, Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985), 1246–1259; Math. USSR-Izv., 27:3 (1986), 521–533
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