Geodesic

Approximation of functions by polynomials and splines

Sommaire

Approximation of operators of convolution type by linear bounded operators
p. 3-19
Approximation of functions in a~uniform metric by Fourier sums in orthogonal polynomials
p. 20-62
Optimal methods for calculating values of the operator $Ux$ if $x$~is given with an error. Differentiation of functions defined with an error
p. 63-78
Some extremal properties of polynomials and inverse inequalities of approximation theory
p. 79-110
Some properties of the space of trigonometric polynomials with a~uniform norm
p. 111-116
Markov's inequality for polynomials in the metric of~$L$
p. 117-125
Estimation of the remainder for the Fourier series for differentiable functions
p. 126-151
Extremal problems of the theory of approximation of functions with incomplete information
p. 152-168
Approximation of classes of differentiable functions by splines in weighted spaces
p. 169-247