Geodesic

Approximation theory. Harmonic analysis

Sommaire

Preface
Chebyshev Compact Sets in the Plane
p. 8-26
Disposition of Points on a~Sphere with Minimum of Energy
p. 27-31
On Two Methods of Generalization of Properties of Univariate Function Systems to Their Tensor Product
p. 32-43
On Delsarte Scheme of Estimating the Contact Numbers
p. 44-73
Differentiation of Location Error
p. 74-79
Interpolation and Embeddings of Generalized Function Spaces $B^s_{p,q}$, $F^s_{p,q}$ on a Domain
p. 80-102
Hausdorff--Young--Riesz Theorem in Lorentz Spaces and Multiplicative Inequalities
p. 103-114
On the Use of the Block Method for an Approximate Conformal Mapping of a~Polygon onto a~Rectangle
p. 115-124
On Optimal Recovery of Differentiation Operator
p. 125-129
On Existence of Best Approximation of a~Function of Two Variables by Sums of Plane Waves
p. 130-136
Some Properties of Multiplicative Orthonormal Systems Applied in Digital Signal Processing
p. 137-182
Jackson Constants in the Space~$l_2(\mathbb Z_2^n)$
p. 183-210
One More Generalization of Bessel's Inequality and Riesz--Fischer Theorem for Fourier Series with Respect to Uniformly Bounded Orthonormal Systems
p. 211-219
On the Direct Theorem of Approximation Theory of Periodic Functions in Different Metrics
p. 220-234
Chebyshev Layer of Manifolds in a~Hilbert Space
p. 235-248
An Estimate of the Number of Solutions of the $n$th Degree Congruence in One Variable
p. 249-257
To the Theory of Implicit Functions
p. 258-268
Ridge Approximation, Chebyshev--Fourier Analysis and Optimal Quadrature Formulas
p. 269-285
On the Global Fibering Method in Nonlinear Variational Problems
p. 286-334
Turan's Problem for Trigonometric Sums
p. 335-339
Wavelets Bases in Spaces of Analytic Functions
p. 340-355
Representation and Approximation of Multivariate Periodic Functions with Bounded Mixed Moduli of Smoothness
p. 356-377
On Partial Sums of Fourier Series of Functions of Bounded Variation
p. 378-386
The Best Approximation of a~Derivative and Analogs of Landau's Inequality in a~Half-Space
p. 387-399
On the Structure of Closed Sets of Uniqueness for the Walsh System
p. 400-409
Smoothing of Functions on a~Hilbert Ball
p. 410-419
On a~Problem of C.~de~Boor for Multivariate $D^m$-Splines
p. 420-452
Disposition of Points on a~Torus and Extremal Properties of Polynomials
p. 453-463
Errata