Abilov Vladimir Abilovich

Publications in Math-Net.Ru

1. Estimates for the remainders of certain quadrature formulas
   
   Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  497–503
2. On sharp estimates of the convergence of double Fourier–Bessel series
   
   Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1765–1770
3. Sharp estimates for the rate of convergence of double Fourier series in classical orthogonal polynomials
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:7 (2015),  1109–1117
4. Sharp estimates for the convergence rate of Fourier–Bessel series
   
   Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  917–927
5. Some new estimates of the Fourier–Bessel transform in the space $\mathbb{L}_2(\mathbb{R}_+)$
   
   Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013),  1622–1628
6. Some new estimates of the Fourier transform in $\mathbb{L}_2(\mathbb{R})$
   
   Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1419–1426
7. Convergence rate estimates for “spherical” partial sums of double Fourier series
   
   Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1233–1240
8. Some issues concerning approximations of functions by Fourier–Bessel sums
   
   Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013),  1051–1057
9. Sharp estimates for the convergence rate of “hyperbolic” partial sums of double fourier series in orthogonal polynomials
   
   Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012),  1952–1958
10. Estimation of the remainder of a cubature formula on a Chebyshev grid
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1373–1377
11. Estimation of the remainder of a cubature formula on a Chebyshev grid for two-variable functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012),  1185–1191
12. Estimates for the Fourier–Bessel transforms of multivariate functions
    
    Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  980–989
13. Some inverse theorems for approximation of functions by Fourier–Laguerre sums
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9,  3–9
14. Sharp estimates for the rate of convergence of Fourier series of functions of a complex variable in the space $L\sb 2(D,p(z))$
    
    Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010),  999–1004
15. Sharp estimates for the convergence rate of double Fourier series in terms of orthogonal polynomials in the space $L_2((a,b)\times(c,d);p(x)q(y)))$
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:8 (2009),  1364–1368
16. On estimates for the Fourier-Bessel integral transform in the space $L_2(\mathbb R_+)$
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009),  1158–1166
17. Sharp estimates for the convergence rate of Fourier series in terms of orthogonal polynomials in $L_2((a,b),p(x))$
    
    Zh. Vychisl. Mat. Mat. Fiz., 49:6 (2009),  966–980
18. Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2113–2120
19. Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$
    
    Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  939–945
20. On expansions of functions of two variables in mixed Fourier–Jacobi series and their application for estimation of errors of cubature formulas
    
    Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007),  1298–1307
21. Some problems of the approximation of functions by Fourier–Hermite sums in the space $L^2(\mathbb R;e^{-x^2})$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2006, no. 1,  3–12
22. Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables
    
    Zh. Vychisl. Mat. Mat. Fiz., 46:9 (2006),  1545–1565
23. Problems in the Approximation of $2\pi$-Periodic Functions by Fourier Sums in the Space $L_2(2\pi)$
    
    Mat. Zametki, 76:6 (2004),  803–811
24. Some problems on expansion of functions in double Fourier–Bessel series
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004),  2128–2149
25. Some problems concerning expansions of functions in double Fourier–Laguerre–Jacobi series
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1751–1769
26. Some problems of expansion of functions in double Fourier–Hermite–Jacobi series
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004),  1596–1607
27. Some convergence problems of double Fourier–Laguerre–Hermite series
    
    Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  213–230
28. Estimates of residual terms of multiple Fourier–Chebyshev series and the Chebyshev type cubature formulas
    
    Zh. Vychisl. Mat. Mat. Fiz., 43:5 (2003),  643–663
29. A quadrature formula
    
    Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  451–458
30. Approximation of functions by Fourier–Bessel sums
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 8,  3–9
31. On the convergence of multiple Fourier–Hermite series
    
    Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1637–1657
32. On some issues related to convergence of multiple Fourier series
    
    Zh. Vychisl. Mat. Mat. Fiz., 39:12 (1999),  1951–1961
33. Approximation of functions by algebraic polynomials in the mean
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3,  61–63
34. Approximation of functions by Fourier–Laguerre sums
    
    Mat. Zametki, 57:2 (1995),  163–170
35. Approximation of functions in the space $L_2(\mathbb R^N;\exp(-|x|^2))$
    
    Mat. Zametki, 57:1 (1995),  3–19
36. A note on a theorem of Lorentz
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 9,  3–5
37. The order of the approximation of continuous functions by the arithmetic means of partial sums of a Fourier–Hermite series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1972, no. 3,  3–9
38. The coefficients of the Fourier–Hermite series of continuous functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 12,  3–8
39. Approximation of differentiable functions by Fourier–Hermite sums
    
    Mat. Zametki, 6:1 (1969),  35–46
40. Approximation of differentiable functions by Fourier-Hermite sums
    
    Dokl. Akad. Nauk SSSR, 182:6 (1968),  1247–1248