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# Daghestan Electronic Mathematical Reports: Issue 8 (2017)

## 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