April  June, 2011
Volume 13, Issue 2
Kolmogorov and linear diameters of functional classes and finite dimensional sets
Galeev E. M.
In this paper we give a brief review of results concerning the Kolmogorov and linear diameters
of Sobolev, HolderNikol'skii and Besov classes of periodic functions of one and several variables as well as
of finitedimensional sets. We present theorems for the order estimates of diameters obtained by the author, Temlyakov and others.
Article (rus.)  [pdf] [zippdf]
Finite regular hyperbolic planes and nilpotent groups with 8 generators
Dolgarew A. I.
Regular finite hyperbolic plane are obtained for nilpotent groups of
step 2 and simple period. Four nonisomorphic
〈3,4〉
ïëîñêîñòü
∇(7)
plane are constructed. These planes are not Desargues.
Article (rus.)  [pdf] [zippdf]
Some vector valued multiplie difference sequence spaces defined
by a sequence of Orlicz functions
Dutta H.
In this article we introduce some new difference sequence spaces with
a real 2normed linear space as base space and which are defined using
a sequence of Orlicz functions, a bounded sequence of positive real
numbers and a sequence of nonzero reals as multiplier sequence.
We show that these spaces are complete paranormed spaces when
the base space is a 2Banach space and investigate these spaces
for solidity, symmetricity, convergence free, monotonicity
and sequence algebra. Further we obtain some relation between
these spaces as well as prove some inclusion results.
Article (eng.)  [pdf] [zippdf]
A study of harmonic fluctuations hollow the cylinder with screw
anisotropy on the basis of threedimensional equations of elasticity theory
Panfilov I. A., Ustinov Y. A.
Distribution of harmonious waves in a floor the cylinder with
screw anisotropy are investigated on the basis of the threedimensional
theory of elasticity. The basic attention is given to studying axisymmetric
fluctuations. The comparative analysis with the results obtained earlier
on the basis of applied theories is carried out.
Article (rus.)  [pdf] [zippdf]
Conjugacy classes of large abelian subgroups in the unipotent
subgroup of a Chevalley group of type
F
4
Suleimanova G. S.
The description of large abelian subgroups in the unipotent subgroup of the
Chevalley group over a finite field of type
F
4
is completed.
Article (rus.)  [pdf] [zippdf]
Quadrature formulas for singular integrals with weight functions
Khubezhty Sh. S., Plieva L. Yu., Besaeva Z. V.
We study singular integrals with weight functions and construct
quadrature formulas for such integrals. Inversion formulas similar to the
formulas for singular integrals with Chebyshev polynomials are proved. Application
of obtained quadrature formulas to the numerical solution of singular integral equations are pointed out.
Article (rus.)  [pdf] [zippdf]
A ring determining the structure of overgroups of a nonsplit maximal torus
Shilov A. V.
We study nets and net rings associated with overgroups
of a nonsplit maximal torus determined by with the radical extension of the main field.
Article (rus.)  [pdf] [zippdf]
Stefan Grigor'evich Samko (on his 70's anniversary)
Article (rus.)  [pdf] [zippdf]
Letter to the editor
Article (rus.)  [pdf] [zippdf]


conference: 
2011 ¹1
2010 ¹1, ¹2, ¹3, ¹4;
2009 ¹1, ¹2, ¹3, ¹4;
2008 ¹1, ¹2, ¹3, ¹4;
2007 ¹1, ¹2, ¹3, ¹4;
2006 ¹1, ¹2, ¹3, ¹4;
2005 ¹1, ¹2, ¹3, ¹4;
2004 ¹1, ¹2, ¹3, ¹4;
2003 ¹1, ¹2, ¹3, ¹4;
2002 ¹1, ¹2, ¹3, ¹4;
2001 ¹1, ¹2, ¹3, ¹4;
2000 ¹1, ¹2, ¹3, ¹4;
1999 ¹1, ¹2, ¹3, ¹4;

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