Assistant Professor of the Department of Mathematical Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University

E-mail:

Website:

Education:

→ 2003-2008 – Faculty of Mechanics and Mathematics, Saratov State University;

→ 2008-2011 – graduate school of the Department of Theory of Functions and Functional Analysis, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, advisor Prof. B.S. Kashin;

→ 2016 – PhD Thesis "On expansion coefficients of functions of some classes with respect to orthonormal bases and frames" (Faculty of Mechanics and Mathematics, Lomonosov Moscow State University).

Educational and methodical work\:

→ Teacher on the courses of mathematical analysis at Department of Mechanics and Mathematics, MSU.

→ The guidance counselor of the Center of Mathematical Creativity at MSU;

→ Mathematics teacher on advanced mathematical classes, Moscow school 171 (ex 54).

Publications:

2023

→ B. S. Kashin, A. V. Meleshkina, "On the Absolute Convergence of Fourier Series of Functions of Two Variables in the Space \(C^{1,\omega}\)", Math. Notes, 114:4 (2023), 635–638, DOI.

2016

→ A. V. Meleshkina, "Absolute convergence of Fourier series in bounded complete double orthonormal systems", Russian Math. Surveys, 71:2 (2016), 379–381, DOI.

2015

→ A. V. Meleshkina, "Fourier Coefficients of Characteristic Functions of Intervals with Respect to a Complete Orthonormal System Bounded in \(L^p([0,1])\), \(2<p<\infty\)", Math. Notes, 97:4 (2015), 647–651, DOI.

2014

→ B. S. Kashin, A. V. Meleshkina, "On \(n\)-Term Approximations with Respect to Frames Bounded in \(L^p(0,1)\), \(2<p<\infty\)", Math. Notes, 95:6 (2014), 775–779, DOI.

2011

→ A. V. Meleshkina, "On the Coefficients of Expansions in Bases of Smooth Functions of Several Variables", Math. Notes, 89:6 (2011), 893–898, DOI.

2010

→ A. V. Meleshkina, "On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle", Comput. Math. Math. Phys., 50:2 (2010), 201–210, DOI.