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Babenko, Alexander Grigorjevich
Statistics Math-Net.Ru
Total publications: 29
Scientific articles: 25
Presentations: 1

Number of views:
This page:5854
Abstract pages:12402
Full texts:3721
References:959
Doctor of physico-mathematical sciences (2005)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Website: https://home.imm.uran.ru/babenko
Keywords: approximation theory, extremal problems, spherical codes.
   
Main publications:
  1. Babenko A. G., “Tochnoe neravenstvo Dzheksona–Stechkina v prostranstve $L^2$ funktsii na mnogomernoi sfere”, Matem. zametki, 60:3 (1996), 333–355  mathnet  mathscinet  zmath; English translation: Math. Notes, 60:3 (1996), 248–263  crossref  mathscinet  zmath
  2. Babenko A. G., “Tochnoe neravenstvo Dzheksona–Stechkina dlya $L^2$-priblizhenii na otrezke s vesom Yakobi i proektivnykh prostranstvakh”, Izvestiya RAN. Ser. matem., 62:6 (1998), 27–52  mathnet  mathscinet  zmath; English translation: Izvestiya: Mathematics, 62:6 (1998), 1095–1119  crossref  mathscinet  zmath  adsnasa
  3. Babenko A. G., “O tochnoi konstante v neravenstve Dzheksona v $L^2$”, Matem. zametki, 39:5 (1986), 651–664  mathnet  mathscinet  zmath; English translation: Math. Notes, 39:5 (1986), 355–363  crossref  mathscinet  zmath
  4. Arestov V. V., Babenko A. G., “O skheme Delsarta otsenki kontaktnykh chisel”, Trudy Matem. in-ta im. V.A. Steklova RAN, 219, 1997, 44–73  mathnet  mathscinet  zmath; English translation: Proc. of the Steklov Inst. of Math., 219 (1997), 36–65  mathscinet  zmath
  5. Arestov V. V., Babenko A. G., “Otsenki maksimalnogo znacheniya uglovogo kodovogo rasstoyaniya dlya 24 i 25 tochek na edinichnoi sfere v $\mathbb R^4$”, Matem. zametki, 68:4 (2000), 483–503  mathnet  mathscinet  zmath; English translation: Math. Notes, 68:4 (2000), 419–435  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person8881
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/203337

Publications in Math-Net.Ru Citations
2023
1. A. G. Babenko, M. V. Deikalova, “On the International S. B. Stechkin's Workshop-Conference on Function Theory Dedicated to the 80th Anniversary of Professor V. V. Arestov”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023),  292–295  mathnet  elib
2020
2. A. G. Babenko, Yu. V. Kryakin, “On the Norms of Boman–Shapiro Difference Operators”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020),  64–75  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S55–S66  isi  scopus
2018
3. A. G. Babenko, Yu. V. Kryakin, “On constants in the Jackson–Stechkin theorem in the case of approximation by algebraic polynomials”, Trudy Mat. Inst. Steklova, 303 (2018),  26–38  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 303 (2018), 18–30  isi  scopus 2
2017
4. A. G. Babenko, Yu. V. Kryakin, “Modified Bernstein function and a uniform approximation of some rational fractions by polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 23:3 (2017),  43–57  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 303, suppl. 1 (2018), 45–59  isi
2016
5. A. G. Babenko, T. Z. Naum, “One-sided integral approximations of the generalized Poisson kernel by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016),  53–63  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 38–48  isi  scopus
6. Alexander G. Babenko, “On an extremal problem for polynomials with fixed mean value”, Ural Math. J., 2:1 (2016),  3–8  mathnet  zmath  elib
2015
7. A. G. Babenko, V. A. Yudin, “Estimates for mean-square norms of functions with lacunary Fourier series”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  54–66  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 60–73  isi 1
8. A. G. Babenko, M. V. Deikalova, S. G. Revesz, “Weighted one-sided approximation of characteristic functions of intervals by polynomials on a closed interval”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  46–53  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 11–18  isi 4
2012
9. A. G. Babenko, N. V. Dolmatova, Yu. V. Kryakin, “Jackson's exact inequality with a special module of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  51–67  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 41–58  isi  scopus 1
10. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:1 (2012),  82–95  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 39–52  isi  scopus 5
2010
11. A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “On one of Geronimus's results”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  54–64  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S37–S48  isi  scopus 4
2009
12. A. G. Babenko, Yu. V. Kryakin, “Integral approximation of the characteristic function of an interval and the Jackson inequality in $C(\mathbb T)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:1 (2009),  59–65  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S56–S63  isi 4
2008
13. A. G. Babenko, Yu. V. Kryakin, “Integral approximation of the characteristic function of an interval by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008),  19–37  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S19–S38  isi  scopus 12
2001
14. A. G. Babenko, “On the Jackson–Stechkin inequality for the best $L^2$-approximations of functions by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 7:1 (2001),  30–46  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2001no. , suppl. 1, S30–S47 11
2000
15. V. V. Arestov, A. G. Babenko, “Estimates of the maximal value of angular code distance for 24 and 25 points on the unit sphere in $\mathbb R^4$”, Mat. Zametki, 68:4 (2000),  483–503  mathnet  mathscinet  zmath; Math. Notes, 68:4 (2000), 419–435  isi 3
1999
16. A. G. Babenko, N. I. Chernykh, V. T. Shevaldin, “The Jackson–Stechkin inequality in $L^2$ with a trigonometric modulus of continuity”, Mat. Zametki, 65:6 (1999),  928–932  mathnet  mathscinet  zmath; Math. Notes, 65:6 (1999), 777–781  isi 11
1998
17. A. G. Babenko, “An exact Jackson–Stechkin inequality for $L^2$-approximation on the interval with the Jacobi weight and on projective spaces”, Izv. RAN. Ser. Mat., 62:6 (1998),  27–52  mathnet  mathscinet  zmath  elib; Izv. Math., 62:6 (1998), 1095–1119  isi  scopus 11
18. A. G. Babenko, “Exact Jackson–Stechkin inequality in the space $L^2(\mathbb R^m)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 5 (1998),  183–198  mathnet  zmath 20
1997
19. V. V. Arestov, A. G. Babenko, “On Delsarte Scheme of Estimating the Contact Numbers”, Trudy Mat. Inst. Steklova, 219 (1997),  44–73  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 219 (1997), 36–65 16
1996
20. A. G. Babenko, “Sharp Jackson–Stechkin inequality in $L^2$ for multidimensional spheres”, Mat. Zametki, 60:3 (1996),  333–355  mathnet  mathscinet  zmath  elib; Math. Notes, 60:3 (1996), 248–263  isi 18
1992
21. A. G. Babenko, “Weak-type inequalities for trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 2 (1992),  34–41  mathnet  mathscinet  zmath  elib 8
1988
22. A. G. Babenko, “Jackson's inequality for mean-square approximations of periodic functions by trigonometric polynomials on a uniform grid”, Mat. Zametki, 43:4 (1988),  460–473  mathnet  mathscinet  zmath; Math. Notes, 43:4 (1988), 264–272  isi 2
1987
23. A. G. Babenko, “A sharp constant in the Jackson inequality in $L^2$ in the case of a small argument of the modulus of continuity”, Trudy Mat. Inst. Steklov., 180 (1987),  32–33  mathnet  zmath; Proc. Steklov Inst. Math., 180 (1989), 33–35
1986
24. A. G. Babenko, “The exact constant in the Jackson inequality in $L^2$”, Mat. Zametki, 39:5 (1986),  651–664  mathnet  mathscinet  zmath; Math. Notes, 39:5 (1986), 355–363  isi 25
1984
25. A. G. Babenko, “An extremal problem for polynomials”, Mat. Zametki, 35:3 (1984),  349–356  mathnet  mathscinet  zmath; Math. Notes, 35:3 (1984), 181–186  isi 12
2022
26. V. V. Arestov, V. I. Berdyshev, A. G. Babenko, M. V. Deikalova, “On S. B. Stechkin's International Workshop-Conference on Function Theory in Memory of Corresponding Member of RAS Y. N. Subbotin and Professor S. A. Telyakovskii”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  277–285  mathnet  elib
27. R. R. Akopyan, N. Yu. Antonov, V. V. Arestov, A. G. Babenko, N. V. Baidakova, V. I. Berdyshev, V. V. Vasin, S. I. Novikov, N. L. Patsko, A. G. Chentsov, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (A Tribute to His Memory)”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022),  9–16  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 319, suppl. 1 (2022), S1–S6  isi
2021
28. V. V. Arestov, V. I. Berdyshev, A. G. Babenko, Yu. S. Volkov, M. V. Deikalova, “International S.B. Stechkin's Workshop-Conference on Function Theory dedicated to the 85th anniversary of Yu.N. Subbotin and N.I. Chernykh”, Sib. Èlektron. Mat. Izv., 18:2 (2021),  93–108  mathnet 1
2018
29. Vitalii I. Berdyshev, Nikolai I. Chernykh, Alexander G. Babenko, Roman R. Akopyan, “On the 75th birthday of professor Vitalii Vladimirovich Arestov”, Ural Math. J., 4:2 (2018),  3–5  mathnet  mathscinet  elib

Presentations in Math-Net.Ru
1. Неравенства Винера–Ингама для лакунарных тригонометрических рядов
A. G. Babenko, V. A. Yudin
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 29, 2015 14:55

Organisations
 
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