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# Daghestan Electronic Mathematical Reports: Issue 7 (2017)

## 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

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

Pages: 52 - 60

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