Geodesic

Function spaces, approximation theory, and related problems of mathematical analysis

Foreword
Nonlinear trigonometric approximations of multivariate function classes
p. 8-42
Construction of an optimal envelope for a~cone of nonnegative functions with monotonicity properties
p. 43-61
Spaces of functions of positive smoothness on irregular domains
p. 62-72
Convergence of integrable operators affiliated to a~finite von~Neumann algebra
p. 73-82
Fourier--Price coefficients of class GM and best approximations of functions in the Lorentz space $L_{p\theta}[0,1)$, $1$, $1\theta+\infty$
p. 83-104
On linear functionals on Clifford modules and their extensions
p. 105-112
An analog of Young's inequality for convolutions of functions for general Morrey-type spaces
p. 113-132
An analog of Gonchar's theorem for the $m$-point version of Leighton's conjecture
p. 133-145
On nonexistence of nonnegative monotonic solutions for some quasilinear elliptic inequalities in a~half-space
p. 146-156
Some boundary value problems in three-dimensional domains
p. 157-166
Weighted extrapolation in Iwaniec--Sbordone spaces. Applications to integral operators and approximation theory
p. 167-192
On some properties of finite sums of ridge functions defined on convex subsets of~$\mathbb R^n$
p. 193-200
Exactness and optimality of methods for recovering functions from their spectrum
p. 201-216
Relative widths of Sobolev classes in the uniform and integral metrics
p. 217-223
On the Nikol'skii and Potapov classes of functions
p. 224-235
Hardy--Steklov operators and Sobolev-type embedding inequalities
p. 236-262
Boundedness and compactness of a~class of convolution integral operators of fractional integration type
p. 263-279
On a~class of weighted inequalities containing quasilinear operators
p. 280-295
Equiconvergence of spectral decompositions for the Dirac system with potential in Lebesgue spaces
p. 296-324
Geometric relations between the zeros of polynomials
p. 325-332
Convergence and rate of convergence of some greedy algorithms in convex optimization
p. 333-345
A note on function spaces in rough domains
p. 346-351