P. A. Borodin, E. A. Savinova, “Any Chebyshev curve without self-intersections is monotone”, Mat. Zametki, 116:2 (2024), 321–323; Math. Notes, 116:2 (2024), 387–389
2.
P. A. Borodin, A. M. Ershov, “S. R. Nasyrov's Problem of Approximation by Simple Partial Fractions on an Interval”, Mat. Zametki, 115:4 (2024), 568–577; Math. Notes, 115:4 (2024), 520–527
2023
3.
P. A. Borodin, L. Sh. Burusheva, “A convergence rate estimate for remotest projections on three subspaces”, Funktsional. Anal. i Prilozhen., 57:2 (2023), 100–105; Funct. Anal. Appl., 57:2 (2023), 164–168
4.
P. A. Borodin, “Weak Convergence of a Greedy Algorithm and the WN-Property”, Mat. Zametki, 113:4 (2023), 483–488; Math. Notes, 113:4 (2023), 475–479
5.
P. A. Borodin, K. S. Shklyaev, “Density of quantized approximations”, Uspekhi Mat. Nauk, 78:5(473) (2023), 3–64; Russian Math. Surveys, 78:5 (2023), 797–851
Petr A. Borodin, Eva Kopecká, “Weak Limits of Consecutive Projections and of Greedy Steps”, Trudy Mat. Inst. Steklova, 319 (2022), 64–72; Proc. Steklov Inst. Math., 319 (2022), 56–63
P. A. Borodin, “Example of Divergence of a Greedy Algorithm with Respect to an Asymmetric Dictionary”, Mat. Zametki, 109:3 (2021), 352–360; Math. Notes, 109:3 (2021), 379–385
P. A. Borodin, K. S. Shklyaev, “Approximation by simple partial fractions in unbounded domains”, Mat. Sb., 212:4 (2021), 3–28; Sb. Math., 212:4 (2021), 449–474
P. A. Borodin, S. V. Konyagin, “Convergence to zero of exponential sums with positive integer coefficients and approximation by sums of shifts of a single function on the line”, Anal. Math., 44:2 (2018), 163–183
P. A. Borodin, “Approximation by Sums of the Form $\sum_k\lambda_kh(\lambda_kz)$ in the Disk”, Mat. Zametki, 104:1 (2018), 3–10; Math. Notes, 104:1 (2018), 3–9
B. B. Bednov, P. A. Borodin, K. V. Chesnokova, “Existence of Lipschitz selections of the Steiner map”, Mat. Sb., 209:2 (2018), 3–21; Sb. Math., 209:2 (2018), 145–162
P. A. Borodin, “Density of sums of shifts of a single vector in sequence spaces”, Trudy Mat. Inst. Steklova, 303 (2018), 39–44; Proc. Steklov Inst. Math., 303 (2018), 31–35
P. A. Borodin, “Approximation by sums of shifts of a single function on the circle”, Izv. RAN. Ser. Mat., 81:6 (2017), 23–37; Izv. Math., 81:6 (2017), 1080–1094
P. A. Borodin, Yu. Yu. Druzhinin, K. V. Chesnokova, “Finite-Dimensional Subspaces of $L_p$ with Lipschitz Metric Projection”, Mat. Zametki, 102:4 (2017), 514–525; Math. Notes, 102:4 (2017), 465–474
2016
18.
P. A. Borodin, “Approximation by simple partial fractions with constraints on the poles. II”, Mat. Sb., 207:3 (2016), 19–30; Sb. Math., 207:3 (2016), 331–341
P. A. Borodin, O. N. Kosukhin, “Quantitative Expressions for the Connectedness of Sets in ${\mathbb R}^n$”, Mat. Zametki, 98:5 (2015), 643–650; Math. Notes, 98:5 (2015), 707–713
P. A. Borodin, “Examples of Sets with Given Approximation Properties in $WCG$-Space”, Mat. Zametki, 94:5 (2013), 643–647; Math. Notes, 94:5 (2013), 605–608
P. A. Borodin, “Approximation by simple partial fractions with constraints on the poles”, Mat. Sb., 203:11 (2012), 23–40; Sb. Math., 203:11 (2012), 1553–1570
P. A. Borodin, “The mirror property of metric $2$-projection”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, no. 2, 32–36; Moscow University Mathematics Bulletin, 66:2 (2011), 82–85
2010
27.
Yu. V. Borodina, P. A. Borodin, “Synthesis of easily testable circuits over the Zhegalkin basis in the case of constant faults of type 0 at outputs of elements”, Diskr. Mat., 22:3 (2010), 127–133; Discrete Math. Appl., 20:4 (2010), 441–449
P. A. Borodin, “An Example of Nonexistence of a Steiner Point in a Banach Space”, Mat. Zametki, 87:4 (2010), 514–518; Math. Notes, 87:4 (2010), 485–488
P. A. Borodin, I. A. Pyatyshev, “An Example of Non-Approximatively-Compact Existence Set with Finite-Valued Metric Projection”, Mat. Zametki, 86:2 (2009), 170–174; Math. Notes, 86:2 (2009), 159–162
P. A. Borodin, “The Linearity Coefficient of the Metric Projection onto a Chebyshev Subspace”, Mat. Zametki, 85:2 (2009), 180–188; Math. Notes, 85:1 (2009), 168–175
P. A. Borodin, “Estimates of the Distances to Direct Lines and Rays from the Poles of Simplest Fractions Bounded in the Norm of $L_p$ on These Sets”, Mat. Zametki, 82:6 (2007), 803–810; Math. Notes, 82:6 (2007), 725–732
P. A. Borodin, “On the existence of an element with given deviations from an expanding system of subspaces”, Mat. Zametki, 80:5 (2006), 657–667; Math. Notes, 80:5 (2006), 621–630
P. A. Borodin, “On a condition for a polynomial that is sufficient for its norm to be minimal on a given compactum”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 4, 14–18
P. A. Borodin, O. N. Kosukhin, “On approximation by the simplest fractions on the real axis”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 1, 3–8
P. A. Borodin, V. M. Tikhomirov, “Критерии гильбертовости банахова пространства, связанные с теорией приближений”, Mat. Pros., Ser. 3, 3 (1999), 189–207
41.
P. A. Borodin, “On convex approximatively compact sets and Efimov–Stechkin spaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 4, 19–21
P. A. Borodin, “Linearity of metric projections on Chebyshev subspaces in $L_1$ and $C$”, Mat. Zametki, 63:6 (1998), 812–820; Math. Notes, 63:6 (1998), 717–723
P. A. Borodin, “Quasiorthogonal sets and conditions for a Banach space to be a Hilbert space”, Mat. Sb., 188:8 (1997), 63–74; Sb. Math., 188:8 (1997), 1171–1182
P. A. Borodin, “On polynomials that deviate most from zero on a domain boundary”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 1, 18–22
1995
45.
P. A. Borodin, “Completeness of systems of successive primitives in the space $C(\Delta)$ and incomplete systems”, Mat. Zametki, 57:1 (1995), 118–121; Math. Notes, 57:1 (1995), 82–84
P. A. Borodin, “An example of a bounded approximately compact set that is not compact”, Uspekhi Mat. Nauk, 49:4(298) (1994), 157–158; Russian Math. Surveys, 49:4 (1994), 153–154
P. A. Borodin, I. A. Ibragimov, B. S. Kashin, V. V. Kozlov, A. V. Kolesnikov, S. V. Konyagin, E. D. Kosov, O. G. Smolyanov, N. A. Tolmachev, D. V. Treshchev, A. V. Shaposhnikov, S. V. Shaposhnikov, A. N. Shiryaev, A. A. Shkalikov, “Vladimir Igorevich Bogachev (on his 60th birthday)”, Uspekhi Mat. Nauk, 76:6(462) (2021), 201–208; Russian Math. Surveys, 76:6 (2021), 1149–1157
49.
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; Russian Math. Surveys, 76:2 (2021), 369–371
2014
50.
A. I. Aptekarev, P. A. Borodin, B. S. Kashin, Yu. V. Nesterenko, P. V. Paramonov, A. V. Pokrovskii, A. G. Sergeev, A. T. Fomenko, “Evgenii Prokof'evich Dolzhenko (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:6(420) (2014), 192–196; Russian Math. Surveys, 69:6 (2014), 1143–1148
2007
51.
S. Avvakumov, A. Begunts, P. Borodin, S. Voloshin, V. Voronin, N. Grigorenko, E. Grigor'ev, D. Denisov, A. Zoteev, Yu. Kiselev, S. Kozlov, I. Lomov, G. Medvedev, A. Nevzorov, V. Panferov, V. Pogozhev, A. Razgulin, S. Samsonov, I. Sergeev, A. Sklyankin, V. Ushakov, E. Khailov, S. Chesnokov, E. Shikin, A. Shcheglov, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2007, no. 1, 44–52
2005
52.
V. Bening, P. Borodin, V. Voronin, E. Grigor'ev, D. Denisov, A. V. Zoteev, I. Inovenkov, N. Levshin, I. Lomov, G. Medvedev, A. Pavlikov, V. S. Panferov, V. Pogozhev, M. Potapov, A. Razgulin, I. Sergeev, A. Sklyankin, V. Ushakov, M. Fedotov, E. Khailov, S. Chesnokov, O. Shalygina, B. Shchedrin, “Московский государственный университет им. М.В. Ломоносова”, Kvant, 2005, no. 1, 40–49
Approximation by semigroups in Banach spaces P. A. Borodin International conference "Nonlinear Approximations and Applications" dedicated to the 60th birthday of Professor V. N. Temlyakov November 1, 2013 15:50
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