R. M. Gadzhimirzaev, “Approximation properties of de la Vallée Poussin means for partial sums of a special series in Meixner polynomials”, Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 9, 38–49
2.
R. M. Gadzhimirzaev, “Uniform and absolute convergence of the Fourier series in Hermite–Sobolev polynomials”, Sibirsk. Mat. Zh., 66:5 (2025), 828–837; Siberian Math. J., 66:5 (2025), 1149–1157
R. M. Gadzhimirzaev, “Jackson-type theorem on approximation by algebraic
polynomials in the uniform metric with Laguerre weight”, Mat. Zametki, 116:1 (2024), 34–44; Math. Notes, 116:1 (2024), 30–39
4.
R. M. Gadzhimirzaev, “Convergence of the Fourier Series in Meixner–Sobolev
Polynomials and Approximation Properties of Its Partial Sums”, Mat. Zametki, 115:3 (2024), 330–347; Math. Notes, 115:3 (2024), 301–316
R. M. Gadzhimirzaev, “On the uniform boundedness of Vallée Poussin means in the system of Meixner polynomials”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 978–989
6.
R. M. Gadzhimirzaev, “Approximation properties of de la Vallée Poussin means of partial Fourier series in Meixner–Sobolev polynomials”, Mat. Sb., 215:9 (2024), 77–98; Sb. Math., 215:9 (2024), 1202–1223
M. G. Magomed-Kasumov, T. N. Shakh-Emirov, R. M. Gadzhimirzaev, “Basis property of the Legendre polynomials in variable exponent Lebesgue spaces”, Mat. Sb., 215:2 (2024), 103–119; Sb. Math., 215:2 (2024), 234–249
R. M. Gadzhimirzaev, “Estimates for the convergence rate of a Fourier series in Laguerre–Sobolev polynomials”, Sibirsk. Mat. Zh., 65:4 (2024), 622–635; Siberian Math. J., 65:4 (2024), 751–763
R. M. Gadzhimirzaev, “On the approximative properties of Fourier series in Laguerre–Sobolev polynomials”, Sibirsk. Mat. Zh., 65:1 (2024), 38–51; Siberian Math. J., 65:1 (2024), 30–43
R. M. Gadzhimirzaev, “On Approximation Properties of Fourier Series in Jacobi Polynomials $P_n^{\alpha-r,-r}(x)$ Orthogonal in the Sense of Sobolev”, Mat. Zametki, 111:6 (2022), 803–818; Math. Notes, 111:6 (2022), 827–840
R. M. Gadzhimirzaev, “Approximation properties of the Vallée-Poussin means similar to the partial sums of Fourier series in Laguerre–Sobolev polynomials”, Sibirsk. Mat. Zh., 63:3 (2022), 545–561; Siberian Math. J., 63:3 (2022), 451–465
M. S. Sultanakhmedov, R. M. Gadzhimirzaev, “Representation of the solution of the Cauchy problem for a difference equation by a Fourier series in Meixner - Sobolev polynomials”, Daghestan Electronic Mathematical Reports, 2021, no. 16, 74–82
13.
I. G. Guseinov, R. M. Gadzhimirzaev, “Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties”, Izv. Saratov Univ. Math. Mech. Inform., 21:4 (2021), 422–433
14.
R. M. Gadzhimirzaev, T. N. Shakh-Emirov, “Approximation Properties of the Vallée-Poussin Means of Partial Sums of a Special Series in Laguerre Polynomials”, Mat. Zametki, 110:4 (2021), 483–497; Math. Notes, 110:4 (2021), 475–488
R. M. Gadzhimirzaev, “Estimates for Sobolev-orthonormal functions and generated by Laguerre functions”, Probl. Anal. Issues Anal., 10(28):1 (2021), 23–37
2020
16.
R. M. Gadzhimirzaev, “On the uniform convergence of the Fourier series by the system of polynomials generated by the system of Laguerre polynomials”, Izv. Saratov Univ. Math. Mech. Inform., 20:4 (2020), 416–423
R. M. Gadzhimirzaev, “Approximation of discrete functions using special series by modified Meixner polynomials”, Sib. Èlektron. Mat. Izv., 17 (2020), 395–405
G. G. Akniev, R. M. Gadzhimirzaev, “A numerical method for solving the Cauchy problem for ODEs using a system of polynomials generated by a system of modified Laguerre polynomials”, Daghestan Electronic Mathematical Reports, 2019, no. 12, 13–24
20.
R. M. Gadzhimirzaev, “Estimate of the Lebesgue Function of Fourier Sums in Terms of Modified Meixner Polynomials”, Mat. Zametki, 106:4 (2019), 519–530; Math. Notes, 106:4 (2019), 526–536
R. M. Gadzhimirzaev, “Sobolev-orthonormal system of functions generated by the system of Laguerre functions”, Probl. Anal. Issues Anal., 8(26):1 (2019), 32–46
G. G. Akniev, R. M. Gadzhimirzaev, “Fast algorithm for finding approximate solutions to the Cauchy problem for ODE”, Daghestan Electronic Mathematical Reports, 2018, no. 10, 41–49
23.
G. G. Akniev, R. M. Gadzhimirzaev, “Algorithm for numerical realization of polynomials in functions orthogonal in the sense of Sobolev and generated by cosines”, Daghestan Electronic Mathematical Reports, 2018, no. 9, 1–6
R. M. Gadzhimirzaev, “Recurrence relations for polynomials orthonormal on Sobolev, generated by Laguerre polynomials”, Izv. Saratov Univ. Math. Mech. Inform., 18:1 (2018), 17–24
R. M. Gadzhimirzaev, “Approximation of functions defined on the grid $\{0, \delta, 2\delta, \ldots\}$ by Fourier-Meixner sums”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 61–65
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Sobolev orthogonal functions on the grid, generated by discrete orthogonal functions and the Cauchy problem for the difference equation”, Daghestan Electronic Mathematical Reports, 2017, no. 7, 29–39
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Difference equations and Sobolev orthogonal polynomials, generated by Meixner polynomials”, Vladikavkaz. Mat. Zh., 19:2 (2017), 58–72
I. I. Sharapudinov, Z. D. Gadzhieva, R. M. Gadzhimirzaev, “Systems of functions orthogonal with respect to scalar products of Sobolev type with discrete masses generated by classical orthogonal systems”, Daghestan Electronic Mathematical Reports, 2016, no. 6, 31–60
R. M. Gadzhimirzaev, “The Fourier series of the Meixner polynomials orthogonal with respect to the Sobolev-type inner product”, Izv. Saratov Univ. Math. Mech. Inform., 16:4 (2016), 388–395
I. I. Sharapudinov, M. S. Sultanakhmedov, T. N. Shakh-Emirov, T. I. Sharapudinov, M. G. Magomed-Kasumov, G. G. Akniev, R. M. Gadzhimirzaev, “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
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