# Journal Archive

# Daghestan Electronic Mathematical Reports: Issue 7 (2017)

### Articles count: 10

### Pages: 93

## List of articles

### 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

**Pages:**

**1 - 15**

### Splines for three-point rational interpolants with autonomous poles

**Authors:**Ramazanov Abdul-Rashid Kehrimanovich, Magomedova Vazipat Gusenovna

**Pages:**

**16 - 28**

### 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

**Pages:**

**29 - 39**

### Operator estimation of averaging for generalized Beltrami equations

**Author:**Sirazhudinov Magomed Magomedalievich

**Pages:**

**40 - 46**

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

**Author:**Magomed-Kasumov Magomedrasul Grozbekovich

**Pages:**

**47 - 51**

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

**Author:**Medzhidov Ziyaudin Gadzhievich

**Pages:**

**52 - 60**

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

**Author:**Gadjimirzaev Ramis Mahmudovich

**Pages:**

**61 - 65**

### 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

**Pages:**

**66 - 76**

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

**Author:**Sultanakhmedov Murad Salikhovich

**Pages:**

**77 - 85**

### Recurrence formulas for Chebyshev polynomials orthonormal on uniform grid

**Author:**Sultanakhmedov Murad Salikhovich

**Pages:**

**86 - 93**