Magomed-Kasumov Magomedrasul Grozbekovich

Publications in Math-Net.Ru

1. Generalized trace formula and asymptotics of the Forsythe determinant for Sobolev polynomials
   
   Mat. Zametki, 119:1 (2026),  77–94
2. Weighted Sobolev orthogonal systems with two discrete points and Fourier series with respect to them
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 11,  35–50
3. Basis Property of the Haar System in Weighted Lebesgue Spaces with Variable Exponent
   
   Mat. Zametki, 115:5 (2024),  749–758
4. Basis property of the Legendre polynomials in variable exponent Lebesgue spaces
   
   Mat. Sb., 215:2 (2024),  103–119
5. The uniform convergence of Fourier series in a system of the Sobolev orthogonal polynomials associated to ultraspherical Jacobi polynomials
   
   Sibirsk. Mat. Zh., 65:6 (2024),  1173–1190
6. The uniform convergence of Fourier series in a system of polynomials orthogonal in the sense of Sobolev and associated to Jacobi polynomials
   
   Sibirsk. Mat. Zh., 64:2 (2023),  339–349
7. On the Representation of Sobolev Systems Orthogonal with Respect to the Inner Product with One Discrete Point
   
   Mat. Zametki, 111:4 (2022),  561–570
8. Existence and uniqueness theorems for a differential equation with a discontinuous right-hand side
   
   Vladikavkaz. Mat. Zh., 24:1 (2022),  54–64
9. Fast Fourier transform in a system of functions that are orthogonal in the sense of Sobolev and generated by the Walsh system
   
   Daghestan Electronic Mathematical Reports, 2021, no. 15,  55–66
10. Estimates for the rate of convergence of Fourier series in the Sobolev orthogonal functional system generated by the Walsh system
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 200 (2021),  73–80
11. Sobolev orthogonal systems with two discrete points and Fourier series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 12,  56–66
12. The approximation of piecewise smooth functions by trigonometric Fourier sums
    
    Daghestan Electronic Mathematical Reports, 2019, no. 12,  25–42
13. A Sobolev Orthogonal System of Functions Generated by a Walsh System
    
    Mat. Zametki, 105:4 (2019),  545–552
14. Approximation properties of repeated de la Vallée-Poussin means for piecewise smooth functions
    
    Sibirsk. Mat. Zh., 60:3 (2019),  695–713
15. The spectral method for solving the Cauchy problem for systems of ordinary differential equations by means of a system of functions orthogonal in the sense of Sobolev, generated by the Haar system
    
    Daghestan Electronic Mathematical Reports, 2018, no. 10,  50–60
16. Fast computation of linear combinations of Sobolev functions generated by the Haar functions
    
    Daghestan Electronic Mathematical Reports, 2018, no. 9,  7–14
17. On Vallée-Poissin means for special series with respect to ultraspherical Jacobi polynomials with sticking partial sums
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 9,  68–80
18. A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system
    
    Daghestan Electronic Mathematical Reports, 2017, no. 8,  53–60
19. Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients
    
    Daghestan Electronic Mathematical Reports, 2017, no. 7,  47–51
20. Approximation Properties of de la Vallée-Poussin Means for Piecewise Smooth Functions
    
    Mat. Zametki, 100:2 (2016),  229–247
21. Sobolev orthogonal polynomials, associated with the Chebyshev polynomials of the first kind
    
    Daghestan Electronic Mathematical Reports, 2015, no. 4,  1–14
22. On the identification of the parameters of linear systems using Chebyshev polynomials of the first kind and Chebyshev polynomials orthogonal on a uniform grid
    
    Daghestan Electronic Mathematical Reports, 2014, no. 2,  1–32
23. Approximation of Functions by Fourier–Haar Sums in Weighted Variable Lebesgue and Sobolev Spaces
    
    Izv. Saratov Univ. Math. Mech. Inform., 14:3 (2014),  295–304
24. Basis property of the Haar system in weighted variable exponent Lebesgue spaces
    
    Vladikavkaz. Mat. Zh., 16:3 (2014),  38–46
25. Convergence of Fourier–Haar Rectangular Sums in Lebesgue Spaces with Variable Exponent $L^{p(x,y)}$
    
    Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013),  76–81
26. Peculiarities of the partial Fourier–Haar sum behavior at dyadic irrational discontinuity points
    
    Sibirsk. Mat. Zh., 54:6 (2013),  1331–1336