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Збірник праць Інституту математики Національної академії наук України. 2013, 10 (1)
ARCHIVE
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Transactions of Institute of Mathematics, the NAS of Ukraine
2013. Issue 10
(1)
Змiст
.
Ridge approximation of some classes of harmonic functions
.
Estimates of approximation of elements of Hilbert space
.
On the approximation in the mean with the Chebyshev-Hermite weight by algebraic polynomials on the real axis
.
Lebesgue type inequalities for the de la Vallée Poussin sums and their interpolation analogues on classes of (ψ,β)-differentiable functions
.
On Lebesgue continuity on classes of ψ-differentiable functions
.
Construction of the Padé approximants for some Appell hypergeometric series by means of method of generalized moment representations
.
Orthoprojective widths of classes BΩ(ρ,θ) of periodis functions of variables in the space Lq
.
Degree of comonotone approximation of periodic functions
.
Estimates of the convergence of the Remezy type algorithm for interpolation classes
.
On mappings which preserves hypercomplex convexity
.
Kolmogorov problem on a class of multiple monotone functions
.
Estimates of approximation characteristics of classes BΩ(p,θ) of periodic functions of several variables with given majorant of the mixed modulo of continuity
.
Estimate of the mixed derivative of holomorphic functions in polydisk
.
Approximation of functions from isotropic classes BΩ(1,θ)(Rd) to integer functions of exponential type
.
Majorants in Hardy-Littlewood type theorem for higher order derivatives of analytic functions
.
On estimates of singular numbers of Hilbert-Schmidt integral operator in terms of modules of continuity of its kernel
.
Estimates from below for Kolmogorov widths in classes of Poisson integral
.
Estimates of uniform approximations by Zygmund sums on classes of convolutions of periodic functions
.
Approximation by linear methods of classes of (ψ,β)−differentiable functions
.
Order estimates for the best approximation and approximation by Fourier sums of classes of infinitely differentiable functions
.
On the mean convergence of the Taylor and Laurent series
.
Rational approximation of classes of convolutions of periodic functions
.
Order estimates for some approximative characteristics
.
Estimates for approximative characteristics of classes Sr(p,θ)B(Rd) of functions in the uniform metric
.
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