Daghestan Electronic Mathematical Reports: Issue 7 (2017)

Systems of functions orthogonal in the sense of Sobolev associated with Haar functions and the Cauchy problem for ODEs

Authors: Sharapudinov Idris Idrisovich, Magomedov Salikh Rasulovich

Splines for three-point rational interpolants with autonomous poles

Authors: Ramazanov Abdul-Rashid Kehrimanovich, Magomedova Vazipat Gusenovna

Sobolev orthogonal functions on the grid, generated by discrete orthogonal functions and the Cauchy problem for the difference equation

Authors: Sharapudinov Idris Idrisovich, Gadzhieva Zulfia Dzhamaldinovna, Gadjimirzaev Ramis Mahmudovich

Operator estimation of averaging for generalized Beltrami equations

Author: Sirazhudinov Magomed Magomedalievich

Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients

Author: Magomed-Kasumov Magomedrasul Grozbekovich

On the reconstruction of a function from its integrals along polygonal lines of one family in the plane

Author: Medzhidov Ziyaudin Gadzhievich

Approximation of functions defined on the grid $\{0, \delta, 2\delta, \ldots\}$ by Fourier-Meixner sums

Author: Gadjimirzaev Ramis Mahmudovich

Approximation of the solution of the Cauchy problem for nonlinear ODE systems by means of Fourier series in functions orthogonal in the sense of Sobolev

Author: Sharapudinov Idris Idrisovich

Cauchy problem for the difference equation and Sobolev orthogonal functions on the finite grid, generated by discrete orthogonal functions

Author: Sultanakhmedov Murad Salikhovich

Recurrence formulas for Chebyshev polynomials orthonormal on uniform grid

Author: Sultanakhmedov Murad Salikhovich