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Geodesic


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Informatics and Automation
Tome 145 (1980)
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Approximation of functions by polynomials and splines


Approximation of operators of convolution type by linear bounded operators
V. V. Arestov
p. 3-19

Approximation of functions in a~uniform metric by Fourier sums in orthogonal polynomials
V. M. Badkov
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
V. N. Gabushin
p. 63-78

Some extremal properties of polynomials and inverse inequalities of approximation theory
V. I. Ivanov
p. 79-110

Some properties of the space of trigonometric polynomials with a~uniform norm
B. S. Kashin
p. 111-116

Markov's inequality for polynomials in the metric of~$L$
S. V. Konyagin
p. 117-125

Estimation of the remainder for the Fourier series for differentiable functions
S. B. Stechkin
p. 126-151

Extremal problems of the theory of approximation of functions with incomplete information
Yu. N. Subbotin
p. 152-168

Approximation of classes of differentiable functions by splines in weighted spaces
N. I. Chernykh
p. 169-247
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