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Fundamentalʹnaâ i prikladnaâ matematika
Tome 18 (2013)
no. 5
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Volume 18 (2013) no. 5

Sommaire


Estimates for the growth order of sequences of multiple rectangular Fourier sums of integrable functions
N. Yu. Antonov
p. 3-15

Maximization of a~function with Lipschitz continuous gradient
M. V. Balashov
p. 17-25

On the asymptotic solution of one extremal problem related to nonnegative trigonometric polynomials
A. S. Belov
p. 27-67

Weighted integrability of double series with respect to multiplicative systems
S. S. Volosivets ; R. N. Fadeev
p. 69-87

Well-posedness of approximation and optimization problems for weakly convex sets and functions
G. E. Ivanov ; M. S. Lopushanski
p. 89-118

The probability of successful allocation of particles in cells (the general case)
I. R. Kayumov ; A. N. Chuprunov
p. 119-128

Direct and inverse theorems on approximation by piecewise polynomial functions
A. S. Kochurov
p. 129-144

Functions from Sobolev and Besov spaces with maximal Hausdorff dimension of the exceptional Lebesgue set
V. G. Krotov ; M. A. Prokhorovich
p. 145-153

On best harmonic synthesis of periodic functions
G. G. Magaril-Il'yaev ; K. Yu. Osipenko
p. 155-174

Best recovery of the Laplace operator of a~function and sharp inequalities
E. O. Sivkova
p. 175-185

Cubature and quadrature formulas of high order of approximation
D. A. Silaev
p. 187-207

Series formed by the moduli of blocks of terms of trigonometric series. A~survey
S. A. Telyakovskii
p. 209-216
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