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Abilov, Vladimir Abilovich
Statistics Math-Net.Ru
Total publications: 40
Scientific articles: 40
Presentations: 1

Number of views:
This page:2099
Abstract pages:16321
Full texts:6093
References:2461
Professor
Doctor of physico-mathematical sciences

https://www.mathnet.ru/eng/person18214
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/217287

Publications in Math-Net.Ru Citations
2018
1. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Estimates for the remainders of certain quadrature formulas”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  497–503  mathnet  elib; Comput. Math. Math. Phys., 58:4 (2018), 471–477  isi  scopus
2017
2. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “On sharp estimates of the convergence of double Fourier–Bessel series”, Zh. Vychisl. Mat. Mat. Fiz., 57:11 (2017),  1765–1770  mathnet  elib; Comput. Math. Math. Phys., 57:11 (2017), 1735–1740  isi  scopus 1
2015
3. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:7 (2015), 1094–1102  isi  elib  scopus 14
4. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Sharp estimates for the convergence rate of Fourier–Bessel series”, Zh. Vychisl. Mat. Mat. Fiz., 55:6 (2015),  917–927  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:6 (2015), 907–916  isi  elib  scopus 7
2013
5. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:10 (2013), 1440–1446  isi  elib  scopus 1
6. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some new estimates of the Fourier transform in $\mathbb{L}_2(\mathbb{R})$”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1419–1426  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1231–1238  isi  elib  scopus 1
7. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “Convergence rate estimates for “spherical” partial sums of double Fourier series”, Zh. Vychisl. Mat. Mat. Fiz., 53:8 (2013),  1233–1240  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:8 (2013), 1062–1069  isi  elib  scopus
8. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some issues concerning approximations of functions by Fourier–Bessel sums”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013),  1051–1057  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 53:7 (2013), 867–873  isi  elib  scopus 9
2012
9. V. A. Abilov, M. K. Kerimov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:11 (2012), 1497–1503  isi  elib  scopus 2
10. V. A. Abilov, M. K. Kerimov, “Estimation of the remainder of a cubature formula on a Chebyshev grid”, Zh. Vychisl. Mat. Mat. Fiz., 52:8 (2012),  1373–1377  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:8 (2012), 1089–1093  isi  elib  scopus 1
11. V. A. Abilov, M. K. Kerimov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:7 (2012), 985–991  isi  elib  scopus 4
12. V. A. Abilov, M. K. Kerimov, “Estimates for the Fourier–Bessel transforms of multivariate functions”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012),  980–989  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 52:6 (2012), 836–845  isi  elib  scopus 1
2010
13. V. A. Abilov, F. V. Abilova, M. V. Abilov, “Some inverse theorems for approximation of functions by Fourier–Laguerre sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 9,  3–9  mathnet  mathscinet; Russian Math. (Iz. VUZ), 54:9 (2010), 1–6  scopus 1
14. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “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  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 50:6 (2010), 946–950  isi  scopus 17
2009
15. V. A. Abilov, M. K. Kerimov, “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  mathnet  zmath; Comput. Math. Math. Phys., 49:8 (2009), 1298–1302  isi  scopus 6
16. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “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  mathnet  elib; Comput. Math. Math. Phys., 49:7 (2009), 1103–1110  isi  elib  scopus 6
17. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “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  mathnet  zmath; Comput. Math. Math. Phys., 49:6 (2009), 927–941  isi  scopus 14
2008
18. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some remarks concerning the Fourier transform in the space $L_2(\mathbb R^n)$”, Zh. Vychisl. Mat. Mat. Fiz., 48:12 (2008),  2113–2120  mathnet  mathscinet; Comput. Math. Math. Phys., 48:12 (2008), 2146–2153  isi  scopus 11
19. V. A. Abilov, F. V. Abilova, M. K. Kerimov, “Some remarks concerning the Fourier transform in the space $L_2(\mathbb R)$”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008),  939–945  mathnet  zmath; Comput. Math. Math. Phys., 48:6 (2008), 885–891  isi  scopus 14
2007
20. V. A. Abilov, G. A. Djalaeva, M. K. Kerimov, “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  mathnet  mathscinet; Comput. Math. Math. Phys., 47:8 (2007), 1243–1252  scopus 1
2006
21. V. A. Abilov, F. V. Abilova, “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  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 50:1 (2006), 1–10 3
22. V. A. Abilov, M. K. Kerimov, “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  mathnet  mathscinet; Comput. Math. Math. Phys., 46:9 (2006), 1465–1486  scopus 5
2004
23. V. A. Abilov, F. V. Abilova, “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  mathnet  mathscinet  zmath; Math. Notes, 76:6 (2004), 749–757  isi  scopus 33
24. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “Some problems on expansion of functions in double Fourier–Bessel series”, Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004),  2128–2149  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 44:12 (2004), 2024–2044 4
25. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “Some problems concerning expansions of functions in double Fourier–Laguerre–Jacobi series”, Zh. Vychisl. Mat. Mat. Fiz., 44:10 (2004),  1751–1769  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:10 (2004), 1665–1683 1
26. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “Some problems of expansion of functions in double Fourier–Hermite–Jacobi series”, Zh. Vychisl. Mat. Mat. Fiz., 44:9 (2004),  1596–1607  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:9 (2004), 1516–1527 3
27. V. A. Abilov, M. V. Abilov, M. K. Kerimov, “Some convergence problems of double Fourier–Laguerre–Hermite series”, Zh. Vychisl. Mat. Mat. Fiz., 44:2 (2004),  213–230  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 44:2 (2004), 197–214 4
2003
28. V. A. Abilov, M. K. Kerimov, “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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 43:5 (2003), 613–632 8
2002
29. V. A. Abilov, F. V. Abilova, “A quadrature formula”, Zh. Vychisl. Mat. Mat. Fiz., 42:4 (2002),  451–458  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:4 (2002), 431–438 7
2001
30. V. A. Abilov, F. V. Abilova, “Approximation of functions by Fourier–Bessel sums”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 8,  3–9  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 45:8 (2001), 1–7 25
31. V. A. Abilov, F. V. Abilova, “On the convergence of multiple Fourier–Hermite series”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001),  1637–1657  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 41:11 (2001), 1557–1577 1
1999
32. V. A. Abilov, F. V. Abilova, “On some issues related to convergence of multiple Fourier series”, Zh. Vychisl. Mat. Mat. Fiz., 39:12 (1999),  1951–1961  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 39:12 (1999), 1872–1882 7
1997
33. V. A. Abilov, F. V. Abilova, “Approximation of functions by algebraic polynomials in the mean”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3,  61–63  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:3 (1997), 60–62 6
1995
34. V. A. Abilov, “Approximation of functions by Fourier–Laguerre sums”, Mat. Zametki, 57:2 (1995),  163–170  mathnet  mathscinet  zmath; Math. Notes, 57:2 (1995), 115–120  isi 4
35. V. A. Abilov, M. V. Abilov, “Approximation of functions in the space $L_2(\mathbb R^N;\exp(-|x|^2))$”, Mat. Zametki, 57:1 (1995),  3–19  mathnet  mathscinet  zmath  elib; Math. Notes, 57:1 (1995), 3–14  isi 8
1978
36. V. A. Abilov, “A note on a theorem of Lorentz”, Izv. Vyssh. Uchebn. Zaved. Mat., 1978, no. 9,  3–5  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 22:9 (1978), 1–3
1972
37. V. A. Abilov, “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  mathnet  mathscinet  zmath 1
1969
38. V. A. Abilov, “The coefficients of the Fourier–Hermite series of continuous functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1969, no. 12,  3–8  mathnet  mathscinet  zmath 3
39. V. A. Abilov, S. A. Agahanov, “Approximation of differentiable functions by Fourier–Hermite sums”, Mat. Zametki, 6:1 (1969),  35–46  mathnet  mathscinet  zmath; Math. Notes, 6:1 (1969), 479–486 1
1968
40. V. A. Abilov, S. A. Agahanov, “Approximation of differentiable functions by Fourier-Hermite sums”, Dokl. Akad. Nauk SSSR, 182:6 (1968),  1247–1248  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Î ïðèáëèæåíèè ôóíêöèé ðÿäàìè Ôóðüå–Ýðìèòà
V. A. Abilov
Seminar on Approximation Theory
March 21, 2013 10:30

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