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Publications in Math-Net.Ru |
Citations |
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2014 |
1. |
Yu. Brudnyi, “Compactness criteria for spaces of measurable functions”, Algebra i Analiz, 26:1 (2014), 68–93 ; St. Petersburg Math. J., 26:1 (2015), 49–68 |
4
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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 ; St. Petersburg Math. J., 23:1 (2012), 39–56 |
2
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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 ; St. Petersburg Math. J., 19:3 (2008), 397–406 |
9
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2005 |
4. |
A. Yu. Brudnyi, Yu. A. Brudnyi, “Simultaneous Lipschitz extensions”, Uspekhi Mat. Nauk, 60:6(366) (2005), 53–72 ; Russian Math. Surveys, 60:6 (2005), 1057–1076 |
4
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2004 |
5. |
Yu. A. Brudnyi, “Nonlinear $N$-term approximation by refinable functions”, Algebra i Analiz, 16:1 (2004), 163–206 ; St. Petersburg Math. J., 16:1 (2005), 143–179 |
2
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2002 |
6. |
Yu. Brudnyi, Inna Kozlov, “An algorithm of nonlinear approximation by piecewise polynomials”, Mat. Fiz. Anal. Geom., 9:3 (2002), 311–325 |
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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 |
1
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1994 |
8. |
Yu. A. Brudnyĭ, “Adaptive approximation of functions with singularities”, Tr. Mosk. Mat. Obs., 55 (1994), 149–242 |
5
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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 ; St. Petersburg Math. J., 4:4 (1993), 667–694 |
9
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1987 |
10. |
Yu. A. Brudnyi, P. A. Shvartsman, “Extension of functions with preservation of smoothness”, Trudy Mat. Inst. Steklov., 180 (1987), 60–61 ; Proc. Steklov Inst. Math., 180 (1989), 67–69 |
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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 ; J. Soviet Math., 42:6 (1988), 2009–2112 |
30
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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 |
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1981 |
13. |
Yu. A. Brudnyi, N. Ya. Kruglyak, “Functors of real interpolation”, Dokl. Akad. Nauk SSSR, 256:1 (1981), 14–17 |
7
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1979 |
14. |
Yu. A. Brudnyi, “Rational approximation and imbedding theorems”, Dokl. Akad. Nauk SSSR, 247:2 (1979), 269–272 |
9
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1976 |
15. |
Yu. A. Brudnyi, “On a theorem of extension for one family of functional spaces”, Zap. Nauchn. Sem. LOMI, 56 (1976), 170–173 ; J. Soviet Math., 14:2 (1980), 1155–1158 |
2
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1975 |
16. |
Yu. A. Brudnyi, “Moduli of continuity and rearrangements”, Mat. Zametki, 18:1 (1975), 63–66 ; Math. Notes, 18:1 (1975), 619–621 |
1
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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 |
1
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18. |
Yu. A. Brudnyi, “Spline approximation, and functions of bounded variation”, Dokl. Akad. Nauk SSSR, 215:3 (1974), 511–513 |
2
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19. |
Yu. A. Brudnyi, “Local approximations and differentiability of functions of several variables”, Uspekhi Mat. Nauk, 29:4(178) (1974), 163–164 |
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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 ; Math. USSR-Izv., 7:2 (1973), 345–356 |
18
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1972 |
21. |
Yu. A. Brudnyi, “The rearrangement of a smooth function”, Uspekhi Mat. Nauk, 27:2(164) (1972), 165–166 |
2
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1971 |
22. |
Yu. A. Brudnyi, “Piecewise polynomial approximation and local approximations”, Dokl. Akad. Nauk SSSR, 201:1 (1971), 16–18 |
2
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23. |
Yu. A. Brudnyi, V. K. Shalashov, “Lipschitz spaces of functions”, Dokl. Akad. Nauk SSSR, 197:1 (1971), 18–20 |
1
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24. |
Yu. A. Brudnyĭ, “Spaces that are definable by means of local approximations”, Tr. Mosk. Mat. Obs., 24 (1971), 69–132 |
32
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1970 |
25. |
Yu. A. Brudnyi, “Approximation of functions defined in a convex polyhedron”, Dokl. Akad. Nauk SSSR, 195:5 (1970), 1007–1009 |
26. |
Yu. A. Brudnyi, “Spaces that can be defined by variation of local approximations”, Dokl. Akad. Nauk SSSR, 190:4 (1970), 753–755 |
27. |
Yu. A. Brudnyi, “Extension theorem”, Funktsional. Anal. i Prilozhen., 4:3 (1970), 97–98 ; Funct. Anal. Appl., 4:3 (1970), 252–253 |
1
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28. |
Yu. A. Brudnyi, “Approximation of functions of $n$ variables by quasipolynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 34:3 (1970), 564–583 ; Math. USSR-Izv., 4:3 (1970), 568–586 |
18
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29. |
Yu. A. Brudnyi, “A multidimensional analog of a theorem of Whitney”, Mat. Sb. (N.S.), 82(124):2(6) (1970), 175–191 ; Math. USSR-Sb., 11:2 (1970), 157–170 |
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30. |
Yu. A. Brudnyi, B. D. Kotlyar, “A certain problem of combinatorial geometry”, Sibirsk. Mat. Zh., 11:5 (1970), 1171–1173 ; Siberian Math. J., 11:5 (1970), 870–871 |
6
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1968 |
31. |
Yu. A. Brudnyi, “The approximation of functions by algebraic polynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 32:4 (1968), 780–787 ; Math. USSR-Izv., 2:4 (1968), 735–743 |
12
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1967 |
32. |
Yu. A. Brudnyi, “Criteria for the existence of derivatives in $L^p$”, Mat. Sb. (N.S.), 73(115):1 (1967), 42–64 ; Math. USSR-Sb., 2:1 (1967), 35–55 |
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1965 |
33. |
Yu. A. Brudnyi, “On the local best approximation to functions by polynomials”, Dokl. Akad. Nauk SSSR, 161:4 (1965), 746–749 |
2
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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 |
1
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1963 |
35. |
Yu. A. Brudnyi, “Generalization of a theorem of A. F. Timan”, Dokl. Akad. Nauk SSSR, 148:6 (1963), 1237–1240 |
5
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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 |
2
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37. |
Yu. A. Brudnyi, I. E. Gopengauz, “Approximation by piecewise polynomial functions”, Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963), 723–746 |
2
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1961 |
38. |
Yu. A. Brudnyi, I. E. Gopengauz, “Approximation by piecewise polynomial functions”, Dokl. Akad. Nauk SSSR, 141:6 (1961), 1283–1286 |
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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 |
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 |
4
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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 |
1
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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 |
43. |
Yu. A. Brudnyi, “On the maximum modulus of a quasi-smooth function”, Uspekhi Mat. Nauk, 12:4(76) (1957), 273–275 |
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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 ; Russian Math. Surveys, 74:5 (2019), 935–946 |
1
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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 |
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Organisations |
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