# Journal Archive

# Daghestan Electronic Mathematical Reports: Issue 8 (2017)

### Articles count: 10

### Pages: 109

## List of articles

### On conditions for the convexity of splines with respect to three-point rational interpolants

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

**Pages:**

**1 - 6**

### The inversion of the Laplace transform by means of generalized special series of Laguerre polynomials

**Author:**Sharapudinov Idris Idrisovich

**Pages:**

**7 - 20**

### Approximation of piecewise linear functions by discrete Fourier sums

**Author:**Aknyev Gasan Garunovich

**Pages:**

**21 - 26**

### Convergence of Fourier series in Jacobi polynomials in weighted Lebesgue space with variable exponent

**Authors:**Sharapudinov Idris Idrisovich, Shakh-Emirov Tadgidin Nurmagomedovich

**Pages:**

**27 - 47**

### Multifaceted surface bands and some of their applications

**Author:**Nasrulaev Fajrudin Magomed-Saidovich

**Pages:**

**48 - 52**

### A numerical method for solving the Cauchy problem for systems of ordinary differential equations by means of a system orthogonal in the sense of Sobolev generated by the cosine system

**Authors:**Sharapudinov Idris Idrisovich, Magomed-Kasumov Magomedrasul Grozbekovich

**Pages:**

**53 - 60**

### Two-point boundary value problem of a non-linear differential equation with fractional derivatives, having exponential growth by solution

**Authors:**Abduragimov Elderkhan Israpilovich, Omarova Raisat Abdulbasirovna

**Pages:**

**61 - 69**

### Overlapping transformations for approximation of continuous functions by means of repeated mean Valle Poussin

**Author:**Sharapudinov Idris Idrisovich

**Pages:**

**70 - 92**

### On the uniform boundedness of the family of shifts of Steklov functions in weighted Lebesgue spaces with variable exponent

**Author:**Shakh-Emirov Tadgidin Nurmagomedovich

**Pages:**

**93 - 99**

### An algorithm for the approximate solution of the Cauchy problem for systems of nonlinear ODEs using polynomials orthogonal in the Sobolev sense and generated by Chebyshev polynomials

**Authors:**Sultanakhmedov Murad Salikhovich, Sharapudinov Timur Idrisovich

**Pages:**

**100 - 109**