Geodesic

Sommaire du Fascicule no. 7

Systems of functions orthogonal in the sense of Sobolev associated with Haar functions and the Cauchy problem for ODEs
p. 1-15
Splines for three-point rational interpolants with autonomous poles
p. 16-28
Sobolev orthogonal functions on the grid, generated by discrete orthogonal functions and the Cauchy problem for the difference equation
p. 29-39
Operator estimation of homogenizstion for generalized Beltrami equations
p. 40-46
Convergence rate estimate of sine and cosine series with $1/k^q$ coefficients
p. 47-51
On the reconstruction of a function from its integrals along polygonal lines of one family in the plane
p. 52-60
Approximation of functions defined on the grid $\{0, \delta, 2\delta, \ldots\}$ by Fourier-Meixner sums
p. 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
p. 66-76
Cauchy problem for the difference equation and Sobolev orthogonal functions on the finite grid, generated by discrete orthogonal functions
p. 77-85
Recurrence formulas for Chebyshev polynomials orthonormal on uniform grid
p. 86-93

Sommaire du Fascicule no. 8

On conditions for the convexity of splines with respect to three-point rational interpolants
p. 1-6
The inversion of the Laplace transform by means of generalized special series of Laguerre polynomials
p. 7-20
Approximation of piecewise linear functions by discrete Fourier sums
p. 21-26
Convergence of Fourier series in Jacobi polynomials in weighted Lebesgue space with variable exponent
p. 27-47
Multifaceted surface bands and some of their applications
p. 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
p. 53-60
Two-point boundary value problem of a non-linear differential equation with fractional derivatives, having exponential growth by solution
p. 61-69
Overlapping transformations for approximation of continuous functions by means of repeated mean Valle Poussin
p. 70-92
On the uniform boundedness of the family of shifts of Steklov functions in weighted Lebesgue spaces with variable exponent
p. 93-99