A. S. Belov, “On the Sum of a Trigonometric Sine Series with Monotone Coefficients”, Trudy Mat. Inst. Steklova, 319 (2022), 29–50; Proc. Steklov Inst. Math., 319 (2022), 22–42
2021
2.
A. S. Belov, M. I. Dyachenko, S. Yu. Tikhonov, “Functions with general monotone Fourier coefficients”, Uspekhi Mat. Nauk, 76:6(462) (2021), 3–70; Russian Math. Surveys, 76:6 (2021), 951–1017
A. S. Belov, “On unimprovability of some theorems on convergence in mean of trigonometric series”, Fundam. Prikl. Mat., 22:1 (2018), 31–49; J. Math. Sci., 250:3 (2020), 404–418
2016
4.
A. S. Belov, “Bound of remainder term of asymptotic solution one extremal problem connected with nonnegative trigonometric polynomials”, Mat. Zametki, 100:2 (2016), 303–307; Math. Notes, 100:2 (2016), 325–329
A. S. Belov, “On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials”, Fundam. Prikl. Mat., 18:5 (2013), 27–67; J. Math. Sci., 209:1 (2015), 19–50
A. S. Belov, “On positive definite piecewise linear functions and their applications”, Trudy Mat. Inst. Steklova, 280 (2013), 11–40; Proc. Steklov Inst. Math., 280 (2013), 5–33
A. S. Belov, “Some properties of the sum of the moduli of the terms of a grouped trigonometric series”, Mat. Sb., 203:6 (2012), 35–62; Sb. Math., 203:6 (2012), 798–825
A. S. Belov, “On the extremal problem about the minimum of the free term of a nonnegative trigonometric polynomial”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:3 (2011), 105–121; Proc. Steklov Inst. Math. (Suppl.), 277, suppl. 1 (2012), 55–72
A. S. Belov, “On the Convergence in Mean of Trigonometric Fourier Series”, Mat. Zametki, 87:4 (2010), 492–501; Math. Notes, 87:4 (2010), 466–474
2007
10.
A. S. Belov, “On Conditions of the Average Convergence (Upper Boundedness) of Trigonometric Series”, CMFD, 25 (2007), 8–20; Journal of Mathematical Sciences, 155:1 (2008), 5–17
A. S. Belov, S. A. Telyakovskii, “Refinement of the Dirichlet–Jordan and Young's
theorems on Fourier series of functions of bounded variation”, Mat. Sb., 198:6 (2007), 25–40; Sb. Math., 198:6 (2007), 777–791
A. S. Belov, “Some estimates for non-negative trigonometric polynomials and properties of these polynomials”, Izv. RAN. Ser. Mat., 67:4 (2003), 3–20; Izv. Math., 67:4 (2003), 637–653
A. S. Belov, “Remarks on Mean Convergence (Boundedness) of Partial Sums of Trigonometric Series”, Mat. Zametki, 71:6 (2002), 807–817; Math. Notes, 71:6 (2002), 739–748
A. S. Belov, “Use of complex analysis for deriving lower bounds for trigonometric polynomials”, Mat. Zametki, 63:6 (1998), 803–811; Math. Notes, 63:6 (1998), 709–716
16.
A. S. Belov, “Order estimates of the modulus of variation of the sum of a lacunary trigonometric series”, Mat. Sb., 189:5 (1998), 3–20; Sb. Math., 189:5 (1998), 639–656
1996
17.
A. S. Belov, S. V. Konyagin, “An estimate of the free term of a non-negative trigonometric polynomial with integer coefficients”, Izv. RAN. Ser. Mat., 60:6 (1996), 31–90; Izv. Math., 60:6 (1996), 1123–1182
A. S. Belov, S. V. Konyagin, “An estimate of the constant term of a nonnegative trigonometric polynomial with integer coefficients”, Mat. Zametki, 59:4 (1996), 627–629; Math. Notes, 59:4 (1996), 451–453
A. S. Belov, “Non-Fourier-Lebesgue trigonometric series with nonnegative partial sums”, Mat. Zametki, 59:1 (1996), 24–41; Math. Notes, 59:1 (1996), 18–30
A. S. Belov, “Some upper bounds of partial sums of a trigonometric series cannot be sharpened via lower bounds”, Mat. Zametki, 58:3 (1995), 447–451; Math. Notes, 58:3 (1995), 984–989
22.
A. S. Belov, “Examples of trigonometric series with non-negative partial sums”, Mat. Sb., 186:4 (1995), 21–46; Sb. Math., 186:4 (1995), 485–510
A. S. Belov, “On an extremal problem on the minimum of a trigonometric polynomial”, Izv. RAN. Ser. Mat., 57:6 (1993), 212–226; Russian Acad. Sci. Izv. Math., 43:3 (1994), 593–606
A. S. Belov, “Local properties of some functions in the Hölder class”, Izv. Vyssh. Uchebn. Zaved. Mat., 1992, no. 8, 13–20; Russian Math. (Iz. VUZ), 36:8 (1992), 10–17
A. S. Belov, “Order estimates for best approximations and moduli of continuity of the sum of a trigonometric series with Quasi-monotone coefficients”, Mat. Zametki, 51:4 (1992), 132–134; Math. Notes, 51:4 (1992), 417–419
A. S. Belov, “On upper estimates of the partial sums of a trigonometric series in terms of lower estimates”, Mat. Sb., 183:11 (1992), 55–74; Russian Acad. Sci. Sb. Math., 77:2 (1994), 313–330
A. S. Belov, “A problem of Salem and Zygmund on the smoothness of an analytic function that generated a Peano curve”, Mat. Sb., 181:8 (1990), 1048–1060; Math. USSR-Sb., 70:2 (1991), 485–497
A. S. Belov, “Zeros of the sum of a trigonometric series with monotone coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 12, 3–8; Soviet Math. (Iz. VUZ), 33:12 (1989), 1–6
A. S. Belov, “On the coefficients of trigonometric cosine-series with non-negative partial sums”, Trudy Mat. Inst. Steklov., 190 (1989), 3–21; Proc. Steklov Inst. Math., 190 (1992), 1–18
A. S. Belov, M. B. Ermolaev, “Two simple counterexamples relating to a problem of A. Rényi”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 3, 13–17; Soviet Math. (Iz. VUZ), 31:3 (1987), 16–21
33.
A. S. Belov, “Coefficients of trigonometric series with nonnegative partial sums”, Mat. Zametki, 41:2 (1987), 152–158; Math. Notes, 41:2 (1987), 88–92
A. S. Belov, “Smoothness of the sum of a lacunary trigonometric series”, Sibirsk. Mat. Zh., 28:5 (1987), 32–41; Siberian Math. J., 28:5 (1987), 717–724
1985
35.
A. S. Belov, “Power series and Peano curves”, Izv. Akad. Nauk SSSR Ser. Mat., 49:4 (1985), 675–704; Math. USSR-Izv., 27:1 (1986), 1–26
A. S. Belov, “The Szidon–Zygmund inequality in the theory of lacunary trigonometric series”, Mat. Zametki, 30:4 (1981), 501–515; Math. Notes, 30:4 (1981), 741–749