Geodesic

Investigations on the theory of functions of several real variables and approximation of functons

Sommaire

Preface
Estimates of integral moduli of continuity and imbedding theorems for domains with the flexible horn condition
p. 4-15
Two-sided estimates of the eigenvalues of the Dirichlet problem for a~class of degenerate elliptic differential operators
p. 16-28
Construction of a~dyadic interpolation basis in the space of continuous functions using Fej\'er kernels
p. 29-59
Fractional difference operators and function classes
p. 60-70
Extension of functions with preservation of Sobolev seminorm
p. 71-85
An exponentially converging method for the Neumann problem on multiply connected polygons
p. 86-106
Approximation of continuous periodic functions by Fourier sums
p. 107-127
On imbedding generalized Nikol'skii--Besov spaces in Lorentz spaces
p. 128-139
On the efficient construction of good uniform polynomial approximations of the functions $|x|^r$, $r>0$
p. 140-154
Some questions associated with the formulation of embedding theorems in domains
p. 155-172
Theorems on extension, multipliers and diffeomorphisms for generalized Sobolev--Liouville classes in domains with a~Lipschitz boundary
p. 173-186
On approximation properties of complete orthonormal systems
p. 187-191
Maximal functions and integrals of potential type in weighted Lebesgue and Lorentz spaces
p. 192-201
On variational problems for quadratic weight functionals on infinite intervals
p. 202-214
Representation of entire functions by a~series of generalized exponentials
p. 215-234
On the theory of degenerate elliptic equations
p. 235-251
Summability of function series by the $A^{(*)}$-method
p. 252-271
Approximation theory on the sphere
p. 272-279
On strong summability of Fourier series
p. 280-290
On Jackson theorems for the generalized modulus of smoothness
p. 291-298
Applications of hypersingular integrals to multidimensional integral equations of the first kind
p. 299-312
Asymptotic behavior of best approximations of individual functions
p. 313-324
Multiplicative estimates of moduli of mixed operator smoothness
p. 325-337
Superpositions of functions, and Fourier coefficients
p. 338-348