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Contents of Volume 1, Number 1, 1995

INVITED LECTURE

S. M. Nikolskii
Approximation on manifolds
1--24


RESEARCH PAPERS

A. I. Rozhenko
On the convergence of abstract variational splines
25--36

Borislav Bojanov
An inequality of Duffin and Schaeffer type
37--46

E. V. Chornaya
On the optimization of weighted cubature formulae on certain classes
47--60

V. N. Temlyakov
Some inequalities for multivariate Haar polynomials
61--74

Andr\'{a}s Kro\'{o}
On weighted polynomial approximation on the plane
73--82

Nikola Naidenov
Algorithm for the construction of the smoothest interpolant
83--98

A. V. Rozhdestvensky
On Jackson-Youdin inequalities for approximation by functions of exponential type
99--110

Z. Ciesielski and A. Kamont
On the fractional Levy's random field on the sphere
111--124


INVITED LECTURE

B. Kashin and L. Tzafriri
Lower estimates for the supremum of some random processes
125--140


OPEN PROBLEMS

S. V. Konyagin
On points of existence of elements of best approximation by sets in reflexive spaces
141--142


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