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Brudnyi, Yurii Abramovich
Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 43

Number of views:
This page:4010
Abstract pages:12815
Full texts:6627
References:655
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https://www.mathnet.ru/eng/person19951
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/199227

Publications in Math-Net.Ru Citations
2014
1. Yu. Brudnyi, “Compactness criteria for spaces of measurable functions”, Algebra i Analiz, 26:1 (2014),  68–93  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:1 (2015), 49–68  isi  scopus 4
2011
2. A. Brudnyi, Yu. Brudnyi, “Traces of $C^k$ functions to weak Markov subsets of $\mathbb R^n$”, Algebra i Analiz, 23:1 (2011),  61–86  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 23:1 (2012), 39–56  isi  scopus 2
2007
3. A. Brudnyi, Y. Brudnyi, “Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces”, Algebra i Analiz, 19:3 (2007),  106–118  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 19:3 (2008), 397–406  isi 9
2005
4. A. Yu. Brudnyi, Yu. A. Brudnyi, “Simultaneous Lipschitz extensions”, Uspekhi Mat. Nauk, 60:6(366) (2005),  53–72  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 60:6 (2005), 1057–1076  isi  scopus 4
2004
5. Yu. A. Brudnyi, “Nonlinear $N$-term approximation by refinable functions”, Algebra i Analiz, 16:1 (2004),  163–206  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:1 (2005), 143–179 2
2002
6. Yu. Brudnyi, Inna Kozlov, “An algorithm of nonlinear approximation by piecewise polynomials”, Mat. Fiz. Anal. Geom., 9:3 (2002),  311–325  mathnet  mathscinet  zmath
1996
7. Yu. A. Brudnyi, N. Ya. Kruglyak, “Real interpolation of a family of spaces of smooth functions”, Dokl. Akad. Nauk, 349:6 (1996),  729–731  mathnet  mathscinet  zmath 1
1994
8. Yu. A. Brudnyĭ, “Adaptive approximation of functions with singularities”, Tr. Mosk. Mat. Obs., 55 (1994),  149–242  mathnet  mathscinet  zmath 5
1992
9. Yu. A. Brudnyi, I. P. Irodova, “Nonlinear spline approximation of functions of several variables and $B$-spaces”, Algebra i Analiz, 4:4 (1992),  45–79  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:4 (1993), 667–694 9
1987
10. Yu. A. Brudnyi, P. A. Shvartsman, “Extension of functions with preservation of smoothness”, Trudy Mat. Inst. Steklov., 180 (1987),  60–61  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 67–69
1986
11. Yu. A. Brudnyi, S. G. Krein, E. M. Semenov, “Interpolation of linear operators”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 24 (1986),  3–163  mathnet  mathscinet  zmath; J. Soviet Math., 42:6 (1988), 2009–2112 30
1985
12. Yu. A. Brudnyi, P. A. Shvartsman, “A linear extension operator for a space of smooth functions defined on a closed subset in $\mathbf{R}^n$”, Dokl. Akad. Nauk SSSR, 280:2 (1985),  268–272  mathnet  mathscinet  zmath
1981
13. Yu. A. Brudnyi, N. Ya. Kruglyak, “Functors of real interpolation”, Dokl. Akad. Nauk SSSR, 256:1 (1981),  14–17  mathnet  mathscinet  zmath 7
1979
14. Yu. A. Brudnyi, “Rational approximation and imbedding theorems”, Dokl. Akad. Nauk SSSR, 247:2 (1979),  269–272  mathnet  mathscinet  zmath 9
1976
15. Yu. A. Brudnyi, “On a theorem of extension for one family of functional spaces”, Zap. Nauchn. Sem. LOMI, 56 (1976),  170–173  mathnet  mathscinet  zmath; J. Soviet Math., 14:2 (1980), 1155–1158 2
1975
16. Yu. A. Brudnyi, “Moduli of continuity and rearrangements”, Mat. Zametki, 18:1 (1975),  63–66  mathnet  mathscinet  zmath; Math. Notes, 18:1 (1975), 619–621 1
1974
17. Yu. A. Brudnyi, “On a property of functions from the space $H_p^\lambda$”, Dokl. Akad. Nauk SSSR, 215:5 (1974),  1029–1031  mathnet  mathscinet  zmath 1
18. Yu. A. Brudnyi, “Spline approximation, and functions of bounded variation”, Dokl. Akad. Nauk SSSR, 215:3 (1974),  511–513  mathnet  mathscinet  zmath 2
19. Yu. A. Brudnyi, “Local approximations and differentiability of functions of several variables”, Uspekhi Mat. Nauk, 29:4(178) (1974),  163–164  mathnet  mathscinet  zmath
1973
20. Yu. A. Brudnyi, M. I. Ganzburg, “On an extremal problem for polynomials in $n$ variables”, Izv. Akad. Nauk SSSR Ser. Mat., 37:2 (1973),  344–355  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:2 (1973), 345–356 18
1972
21. Yu. A. Brudnyi, “The rearrangement of a smooth function”, Uspekhi Mat. Nauk, 27:2(164) (1972),  165–166  mathnet  mathscinet  zmath 2
1971
22. Yu. A. Brudnyi, “Piecewise polynomial approximation and local approximations”, Dokl. Akad. Nauk SSSR, 201:1 (1971),  16–18  mathnet  mathscinet  zmath 2
23. Yu. A. Brudnyi, V. K. Shalashov, “Lipschitz spaces of functions”, Dokl. Akad. Nauk SSSR, 197:1 (1971),  18–20  mathnet  mathscinet  zmath 1
24. Yu. A. Brudnyĭ, “Spaces that are definable by means of local approximations”, Tr. Mosk. Mat. Obs., 24 (1971),  69–132  mathnet  mathscinet  zmath 32
1970
25. Yu. A. Brudnyi, “Approximation of functions defined in a convex polyhedron”, Dokl. Akad. Nauk SSSR, 195:5 (1970),  1007–1009  mathnet  mathscinet  zmath
26. Yu. A. Brudnyi, “Spaces that can be defined by variation of local approximations”, Dokl. Akad. Nauk SSSR, 190:4 (1970),  753–755  mathnet  mathscinet  zmath
27. Yu. A. Brudnyi, “Extension theorem”, Funktsional. Anal. i Prilozhen., 4:3 (1970),  97–98  mathnet  mathscinet  zmath; Funct. Anal. Appl., 4:3 (1970), 252–253 1
28. Yu. A. Brudnyi, “Approximation of functions of $n$ variables by quasipolynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970),  564–583  mathnet  mathscinet  zmath; Math. USSR-Izv., 4:3 (1970), 568–586 18
29. Yu. A. Brudnyi, “A multidimensional analog of a theorem of Whitney”, Mat. Sb. (N.S.), 82(124):2(6) (1970),  175–191  mathnet  mathscinet  zmath; Math. USSR-Sb., 11:2 (1970), 157–170 30
30. Yu. A. Brudnyi, B. D. Kotlyar, “A certain problem of combinatorial geometry”, Sibirsk. Mat. Zh., 11:5 (1970),  1171–1173  mathnet  mathscinet  zmath; Siberian Math. J., 11:5 (1970), 870–871 6
1968
31. Yu. A. Brudnyi, “The approximation of functions by algebraic polynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968),  780–787  mathnet  mathscinet  zmath; Math. USSR-Izv., 2:4 (1968), 735–743 12
1967
32. Yu. A. Brudnyi, “Criteria for the existence of derivatives in $L^p$”, Mat. Sb. (N.S.), 73(115):1 (1967),  42–64  mathnet  mathscinet  zmath; Math. USSR-Sb., 2:1 (1967), 35–55 17
1965
33. Yu. A. Brudnyi, “On the local best approximation to functions by polynomials”, Dokl. Akad. Nauk SSSR, 161:4 (1965),  746–749  mathnet  mathscinet  zmath 2
34. Yu. A. Brudnyi, “Investigation of properties of non-periodic functions of several variables by methods in the theory of approximation”, Uspekhi Mat. Nauk, 20:5(125) (1965),  270–272  mathnet 1
1963
35. Yu. A. Brudnyi, “Generalization of a theorem of A. F. Timan”, Dokl. Akad. Nauk SSSR, 148:6 (1963),  1237–1240  mathnet  mathscinet  zmath 5
36. Yu. A. Brudnyi, B. D. Kotlyar, “The order of growth of $\varepsilon$-entropy on certain classes of functions”, Dokl. Akad. Nauk SSSR, 148:5 (1963),  1001–1004  mathnet  mathscinet  zmath 2
37. Yu. A. Brudnyi, I. E. Gopengauz, “Approximation by piecewise polynomial functions”, Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963),  723–746  mathnet  mathscinet  zmath 2
1961
38. Yu. A. Brudnyi, I. E. Gopengauz, “Approximation by piecewise polynomial functions”, Dokl. Akad. Nauk SSSR, 141:6 (1961),  1283–1286  mathnet  mathscinet  zmath
1960
39. Yu. A. Brudnyi, I. E. Gopengauz, “The measure of the point set of maximal deviation”, Izv. Akad. Nauk SSSR Ser. Mat., 24:1 (1960),  129–144  mathnet  mathscinet  zmath
40. Yu. A. Brudnyi, I. E. Gopengauz, “Generalization of a theorem of Hardy and Littlewood”, Mat. Sb. (N.S.), 52(94):3 (1960),  891–894  mathnet  mathscinet  zmath 4
1959
41. Yu. A. Brudnyi, “Approximation by entire functions on the exterior of an interval and on a semi-axis”, Izv. Akad. Nauk SSSR Ser. Mat., 23:4 (1959),  595–612  mathnet  mathscinet  zmath 1
1957
42. Yu. A. Brudnyi, I. E. Gopengauz, “On a problem raised by N. N. Lusin”, Dokl. Akad. Nauk SSSR, 113:1 (1957),  12–15  mathnet  mathscinet  zmath
43. Yu. A. Brudnyi, “On the maximum modulus of a quasi-smooth function”, Uspekhi Mat. Nauk, 12:4(76) (1957),  273–275  mathnet  mathscinet  zmath
2019
44. Yu. A. Brudnyi, M. G. Zaidenberg, A. L. Koldobskii, V. Ya. Lin, B. S. Mityagin, S. Norvidas, E. M. Semenov, P. V. Semenov, “Evgenii Alekseevich Gorin (obituary)”, Uspekhi Mat. Nauk, 74:5(449) (2019),  170–180  mathnet  mathscinet  zmath; Russian Math. Surveys, 74:5 (2019), 935–946  isi 1
1974
45. Yu. A. Brudnyi, “Поправки к статье "Об одном свойстве функции из пространства $H_p^\lambda$" (ДАН, т. 215, № 5, 1974 г.)”, Dokl. Akad. Nauk SSSR, 218:6 (1974),  744  mathnet

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