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Simonov, Boris Vitalevich

Statistics Math-Net.Ru
Total publications: 45
Scientific articles: 44

Number of views:
This page:2156
Abstract pages:7856
Full texts:2618
References:821
Associate professor
Candidate of physico-mathematical sciences
E-mail:

http://www.mathnet.ru/eng/person18360
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/232261

Publications in Math-Net.Ru
2021
1. I. E. Simonova, B. V. Simonov, “Trigonometric series with coefficients general monotone with respect to subsequences”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, 1,  11–30  mathnet; Russian Math. (Iz. VUZ), 65:1 (2021), 8–26  isi  scopus
2. M. K. Potapov, B. V. Simonov, “Refinement of Relations between Mixed Moduli of Smoothness in the Metrics of $L_p$ and $L_\infty$”, Mat. Zametki, 110:3 (2021),  368–385  mathnet; Math. Notes, 110:3 (2021), 347–362  isi  scopus
3. M. K. Potapov, B. V. Simonov, “   $L_1$ $L_q$”, Sibirsk. Mat. Zh., 62:4 (2021),  812–829  mathnet
4. M. K. Potapov, B. V. Simonov, “Interconnection of partial smoothness moduli in various mixed metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, 5,  19–31  mathnet
2020
5. A. A. Jumabayeva, B. V. Simonov, “Transformation of Fourier Series by Means of General Monotone Sequences”, Mat. Zametki, 107:5 (2020),  674–692  mathnet  mathscinet  elib; Math. Notes, 107:5 (2020), 740–758  isi  scopus
6. T. M. Vukolova, B. V. Simonov, “Properties of sums of double trigonometric series with multiply monotone coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, 5,  8–22  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, Moscow University Mchanics Bulletin, 75:5 (2020), 188–203  isi  scopus
7. M. K. Potapov, B. V. Simonov, “Estimates of partial smoothness moduli in metrics $L_{p_1 \infty}$ and $L_{\infty p_2}$ by partial smoothness moduli in the metrics $L_{p_1 p_2}$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, 1,  3–17  mathnet; Moscow University Mathematics Bulletin, 75:1 (2020), 1–15  isi  scopus
2019
8. M. K. Potapov, B. V. Simonov, “Nikolskii inequalities for trigonometric polynomes in different metrics”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, 1,  49–62  mathnet; Russian Math. (Iz. VUZ), 63:1 (2019), 42–54  isi  scopus
9. M. K. Potapov, B. V. Simonov, “Strengthened Ul'yanov's inequalities for partial moduli of smoothness for functions from spaces with various metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, 3,  26–38  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 74:3 (2019), 108–120  isi  scopus
2018
10. M. K. Potapov, B. V. Simonov, “Constructive characteristics of full modules of smoothness in mixed metric”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, 3,  53–61  mathnet; Russian Math. (Iz. VUZ), 62:3 (2018), 45–52  isi  scopus
11. M. K. Potapov, B. V. Simonov, “Strengthened Ul'yanov's inequality for complete moduli of smoothness of functions from spaces with mixed metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, 6,  8–20  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 73:6 (2018), 217–228  isi  scopus
12. M. K. Potapov, B. V. Simonov, “Estimates for mixed moduli of smoothness in $L_q$ metric via mixed moduli of smoothness in $L_1$ metric”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, 2,  12–26  mathnet  mathscinet  zmath; Moscow University Mathematics Bulletin, 73:2 (2018), 50–63  isi  scopus
2017
13. B. V. Simonov, I. E. Simonova, “A-integrability of sums of certain trigonometric series”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, 4,  50–58  mathnet; Russian Math. (Iz. VUZ), 61:4 (2017), 41–48  isi  scopus
14. M. K. Potapov, B. V. Simonov, “Interrelations between mixed moduli of smoothness in metrics of $L_p$ and $L_\infty$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, 3,  21–35  mathnet  mathscinet; Moscow University Mathematics Bulletin, 72:3 (2017), 107–120  isi  scopus
2016
15. M. K. Potapov, B. V. Simonov, “Interrelations between full moduli of smoothness in the metrics of $L_1$ $L_\infty$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2016, 1,  16–24  mathnet  mathscinet; Moscow University Mathematics Bulletin, 71:1 (2016), 15–22  isi  scopus
2015
16. B. V. Simonov, I. E. Simonova, “Estimates of quasi-norms for a certain class of double sine series”, Contemporary Mathematics and Its Applications, 96 (2015),  132–142  mathnet
17. B. V. Simonov, V. A. Ivanyuk, I. E. Simonova, “Existence of best approximation elements in the spaces $L_{\varphi_+\varphi_-}$”, Contemporary Mathematics and Its Applications, 96 (2015),  112–131  mathnet
18. M. K. Potapov, B. V. Simonov, “Connection between moduli of smoothness in the metrics of $L_p$ and $C$”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, 1,  8–15  mathnet  mathscinet; Moscow University Mathematics Bulletin, 70:1 (2015), 6–13  isi  scopus
2014
19. M. K. Potapov, B. V. Simonov, “Properties of the mixed modulus of smoothness of positive order in a mixed metric”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 6,  31–40  mathnet  mathscinet; Moscow University Mathematics Bulletin, 69:6 (2014), 258–266  scopus
20. M. K. Potapov, B. V. Simonov, “Properties of mixed moduli of smoothness of functions with lacunary Fourier coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 1,  6–17  mathnet  mathscinet; Moscow University Mathematics Bulletin, 69:1 (2014), 5–15  scopus
2013
21. B. V. Simonov, “Sine and cosine series in $L_\varphi$ classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, 10,  24–42  mathnet; Russian Math. (Iz. VUZ), 57:10 (2013), 19–36  scopus
2012
22. B. V. Simonov, “Mixed Moduli of Smoothness in Mixed Metrics”, Mat. Zametki, 92:5 (2012),  747–761  mathnet  mathscinet  zmath  elib; Math. Notes, 92:5 (2012), 686–699  isi  elib  scopus
23. M. K. Potapov, B. V. Simonov, “Improvement of the Ul'yanov inequality for mixed moduli of smoothness for functions with lacunary Fourier coefficients”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, 1,  18–24  mathnet  mathscinet; Moscow University Mathematics Bulletin, 67:1 (2012), 16–22  scopus
2010
24. B. V. Simonov, “Embedding Nikol'skiĭclasses into Lorentz spaces”, Sibirsk. Mat. Zh., 51:4 (2010),  911–929  mathnet  mathscinet  elib; Siberian Math. J., 51:4 (2010), 728–744  isi  elib  scopus
25. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes”, Trudy Mat. Inst. Steklova, 269 (2010),  204–214  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 269 (2010), 197–207  isi  elib  scopus
2009
26. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Relations between moduli of smoothness in different metrics”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, 3,  17–25  mathnet  mathscinet  zmath
2008
27. B. V. Simonov, S. Yu. Tikhonov, “Embedding theorems in constructive approximation”, Mat. Sb., 199:9 (2008),  107–148  mathnet  mathscinet  zmath  elib; Sb. Math., 199:9 (2008), 1367–1407  isi  elib  scopus
28. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “An inequality of P. L. Ulyanov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, 3,  33–36  mathnet  mathscinet  zmath
2007
29. B. V. Simonov, “Trigonometric series in the Orlicz–Lorentz spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2007, 6,  64–76  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 51:6 (2007), 61–74
2005
30. B. V. Simonov, “Asymmetric approximations of functions of several variables in function spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, 8,  49–56  mathnet  mathscinet; Russian Math. (Iz. VUZ), 49:8 (2005), 46–52
31. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Transformation of Fourier series using power and weakly oscillating sequences”, Mat. Zametki, 77:1 (2005),  99–116  mathnet  mathscinet  zmath  elib; Math. Notes, 77:1 (2005), 90–107  isi  scopus
2004
32. B. V. Simonov, “Trigonometric series with $(\vec{k},\vec{s})$-monotone coefficients in spaces with mixed quasinorm”, Sibirsk. Mat. Zh., 45:3 (2004),  658–675  mathnet  mathscinet  zmath; Siberian Math. J., 45:3 (2004), 541–556  isi
33. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “Embedding theorems for Besov–Nikol'skii and Weyl–Nikol'skii classes in a mixed metric”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, 5,  18–26  mathnet  mathscinet  zmath
2003
34. B. V. Simonov, “On trigonometric series with $(K,S)$-monotone coefficients in weighted spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, 5,  42–54  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 47:5 (2003), 39–51
35. B. V. Simonov, “On the Element of Best Nonsymmetric Approximation in Spaces with Nonsymmetric Quasinorm”, Mat. Zametki, 74:6 (2003),  902–912  mathnet  mathscinet  zmath; Math. Notes, 74:6 (2003), 853–863  isi
36. M. K. Potapov, B. V. Simonov, S. Yu. Tikhonov, “On the Besov and Besov–Nikol'skii Classes and on Estimates for the Mixed Moduli of Smoothness of Fractional Derivatives”, Trudy Mat. Inst. Steklova, 243 (2003),  244–256  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 243 (2003), 234–246
2001
37. A. B. Golovanchikov, I. E. Simonova, B. V. Simonov, “The solution of diffusion problem with integral boundary condition”, Fundam. Prikl. Mat., 7:2 (2001),  339–349  mathnet  mathscinet  zmath
1999
38. B. V. Simonov, “About one of Uljanov's theorems”, Fundam. Prikl. Mat., 5:4 (1999),  1159–1166  mathnet  mathscinet  zmath
1997
39. M. K. Potapov, B. V. Simonov, “On the relations between generalized classes of Besov–Nikol'skii and Weyl–Nikol'skii functions”, Trudy Mat. Inst. Steklova, 214 (1997),  250–266  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 214 (1996), 243–259
1995
40. M. K. Potapov, B. V. Simonov, “On estimates for the modules of the smoothness of the functions with transformed Fourier series”, Fundam. Prikl. Mat., 1:2 (1995),  455–469  mathnet  mathscinet  zmath
41. M. K. Potapov, B. V. Simonov, “Correlation between the Besov–Nikol'skii and Weyl–Nikol'skii classes of functions”, Trudy Mat. Inst. Steklov., 210 (1995),  218–238  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 210 (1995), 163–177
1993
42. I. E. Simonova, B. V. Simonov, “On the polynomial of best nonsymmetric approximation in an Orlicz space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, 11,  50–56  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 37:11 (1993), 48–54
1989
43. B. V. Simonov, “The polynomial of least deviation in an Orlicz space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, 10,  47–51  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:10 (1989), 60–65
1983
44. B. V. Simonov, “Some properties of transformed Fourier series”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, 2,  58–61  mathnet  mathscinet  zmath

2021
45. P. A. Borodin, M. I. Dyachenko, B. S. Kashin, T. P. Lukashenko, I. I. Mel'nikov, V. A. Sadovnichii, B. V. Simonov, V. A. Skvortsov, A. P. Solodov, V. N. Temlyakov, S. Yu. Tikhonov, V. M. Fedorov, “Mikhail Konstantinovich Potapov (on his 90th birthday)”, Uspekhi Mat. Nauk, 76:2(458) (2021),  185–186  mathnet; Russian Math. Surveys, 76:2 (2021), 369–371  isi

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