→ Leading researcher, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
→ Leading researcher of the Moscow Center of Fundamental and Applied Mathematics
Websites:
Education:
→ 1988 – graduated from Faculty of Mechanics and Mathematics of MSU;
→ 1992 – PhD Thesis (Lomonosov Moscow State University);
→ 2005 – Dr. Sci. Thesis (Lomonosov Moscow State University).
Scientific interests:
The area of his scientific interests is very broad, in particular, trigonometric series, analytical functions, dynamical systems. Popov A.Yu. actively participates in scientific seminars of Lomonosov Moscow State University and other universities, Russian and international conferences. In 2015–2022 he has published a monography and 27 articles in scientific journals.
Teaching:
Anton Yurievich works at Faculty of Mechanics and Mathematics of MSU from October 1st of 1990. He conducted seminars on mathematical analysis, analytical geometry and linear algebra at Faculty of Chemistry of MSU. He was a lecturer of the course in differential equations and of the special course "Asymptotic methods in the theory of Fourier series".
Publications (recent):
2024
→ A. Yu. Popov, "Two-way estimation of the derivative of the sum of a series in terms of sinuses with a convex sequence of coefficients", Mat. Sb., 215:10 (2024), 114–145, DOI.
→ A. Yu. Popov, A. P. Solodov, "Extension of the lower Telyakovskii estimate for the sum of a sine-series with convex coefficient sequence to a longer segment", Moscow University Mathematics Bulletin, 79:4 (2024), 175–181, DOI.
→ E. D. Alferova, A. Yu. Popov, "Extremal positivity problem for integrals of sine series with monotone coefficients", Math. Notes, 116:2 (2024), 382–386, DOI.
→ A. Yu. Popov, V. B. Sherstyukov, "Lower average estimate for the minimum modulus on circles for an entire function of genus zero", CMFD, 70:1 (2024), 150–162, DOI.
2023
→ A. Yu. Popov, V. B. Sherstyukov, "Strengthening of Gaisin's lemma on the minimum modulus of even canonical products", Chebyshevskii Sb., 24:1 (2023), 127–138, DOI.
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "About the ideal economic situation – the growth of capital and the function of consumption in some models of economic growth", Chebyshevskii Sb., 24:2 (2023), 256–265, DOI.
→ A. Yu. Popov, T. Yu. Semenova, "Refinement of the Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded Variation", Math. Notes, 113:4 (2023), 525–537, DOI.
2022
→ A. Yu. Popov, "Lower Bound on the Minimum Modulus of an Analytic Function on a Circle in Terms of a Negative Power of Its Norm on a Larger Circle", Approximation Theory, Functional Analysis, and Applications. Collected papers. On the occasion of the 70th birthday of Academician B. S. Kashin. Trudy MIAN, 319 (2022), 209–236, DOI.
→ A. Yu. Popov, T. V. Rodionov, "Uniform with respect to the parameter \(a \in (0,1)\) two-sided estimates of the sums of sine and cosine series with coefficients \(1/k^a\) by the first terms of their asymptotics", Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 177–190, DOI.
→ A. Yu. Popov, "A.P. Solodov, Optimal Two-Sided Estimates on the Interval \([\frac{\pi}{2},\pi]\) of the Sum of the Sine Series with Convex Coefficient Sequence", Math. Notes, 112:2 (2022), 328–331, DOI.
2021
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "Restrictions on the values of the consumption function in the Ramsey — Kass — Koopmans economic growth model in the case of a stationary saving function", Chebyshevskii Sb., 22:2 (2021), 501–509, DOI.
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "Localization of the indicator optimal exponent of the Ramsey–Kass–Koopmans problem tending to infinity of the power utility function", Chebyshevskii Sb., 22:2 (2021), 121–134, DOI.
→ Yu. L. Sachkov, A. Yu. Popov, "Sub-Riemannian Engel sphere", Dokl. Math., 104:2 (2021), 301–305, DOI.
→ E. D. Alferova, A. Yu. Popov, "On the Positivity of Average Sums of Sine Series with Monotone Coefficients", Math. Notes, 110:4 (2021), 623–627, DOI.
→ A. Yu. Popov, "Refinement of Estimates of Sums of Sine Series with Monotone Coefficients and Cosine Series with Convex Coefficients", Math. Notes, 109:5 (2021), 808–818, DOI.
2020
→ A. Yu. Popov, "Two-sided estimates of the central binomial coefficient", Chelyab. Fiz.-Mat. Zh., 5:1 (2020), 56–69, DOI.
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "On the Ramsey–Cass–Koopmans problem for consumer choice", Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 182 (2020), 39–44, DOI.
→ E. D. Alferova, A. Yu. Popov, "Two-Sided Estimates of the \(L^{\infty}\)-Norm of the Sum of a Sine Series with Monotone Coefficients \(\{b_k\}\) via the \(\ell^\infty\)-Norm of the Sequence \(\ell^\infty\)", Math. Notes, 108:4 (2020), 471–476, DOI.
→ A. P. Mashtakov, A. Yu. Popov, "Asymptotics of Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space", Rus. J. Nonlin. Dyn., 16:1 (2020), 195–208, DOI.
2019
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "Optimal exponent in the Ramsey–Kass–Koopmans problem with logarithmic utility function", Chebyshevskii Sb., 20:4 (2019), 197–207, DOI.
→ A. I. Kozko, L. M. Luzhina, A. Yu. Popov, V. G. Chirskii, "Assessment of the necessary initial economic resource in the Ramsey–Kass–Koopmans problem", Chebyshevskii Sb., 20:4 (2019), 188–196, DOI.
→ A. Yu. Popov, "New lower bound for the modulus of an analytic function", Chelyab. Fiz.-Mat. Zh., 4:2 (2019), 155–164, DOI.
2018
→ A. Yu. Popov, A. P. Solodov, "Estimates with Sharp Constants of the Sums of Sine Series with Monotone Coefficients of Certain Classes in Terms of the Salem Majorant", Math. Notes, 104:5 (2018), 702–711, DOI.
→ A. Yu. Popov, "New Two-Sided Estimates of the Gamma Function and the Number of \(n\)-Combinations of \(2n\) Elements. Strong Enveloping by an Asymptotic Series", Math. Notes, 103:5 (2018), 852–855, DOI.
→ A. Yu. Popov, Yu. L. Sachkov, "Two-side bound of a root of an equation containing complete elliptic integrals", Program Systems: Theory and Applications, 9:4 (2018), 253–264, DOI.
2017
→ A. Yu. Popov, "Two-sided estimates of gamma-function on the real semiaxis", Chebyshevskii Sb., 18:2 (2017), 205–221, DOI.
→ A. Yu. Popov, "The upper bound of the remainder of power series with positive coefficients of a special class", Chelyab. Fiz.-Mat. Zh., 2:2 (2017), 193–198, link.
→ A. P. Mashtakov, A. Yu. Popov, "Extremal Controls in the Sub-Riemannian Problem on the Group of Motions of Euclidean Space", Regul. Chaotic Dyn., 22:8 (2017), 949–954, DOI.
→ A. Yu. Popov, A. P. Solodov, "The negative parts of the sums of sine series with quasimonotonic coefficients", Sb. Math., 208:6 (2017), 878–901, DOI.