VOLUME 1, 2010 NUMBER 1
http://repository.enu.kz:8080/handle/123456789/1542
2020-04-04T22:23:11ZESTIMATION OF ERROR OF CUBATURE FORMULA IN BESOV SPACE
http://repository.enu.kz:8080/handle/123456789/1560
ESTIMATION OF ERROR OF CUBATURE FORMULA IN BESOV SPACE
E.S. Smailov; N.T. Tleukhanova
In this paper estimates of the error of a eubature formula in Besov classes are obtained. The method of research is essentially based on the choice of a Lizorkin system.
2012-06-26T00:00:00ZEQUICONVERGENCE THEOREMS FOR STURM^LIOVILLE OPERATORS WITH SINGULAR POTENTIALS (RATE OF EQUICONVERGENCE IN W|-NORM)
http://repository.enu.kz:8080/handle/123456789/1558
EQUICONVERGENCE THEOREMS FOR STURM^LIOVILLE OPERATORS WITH SINGULAR POTENTIALS (RATE OF EQUICONVERGENCE IN W|-NORM)
I.V. Sadovnichaya
We studv the Sturm-Liouville operator Ly = l(y) = + q(x)y with
ax2
Diriehlet boundary conditions y(0) = y(n) = 0 in the space L2[0,n], We assume that the potential has the form q(x) = u'(x), where u G W|[0,n] with 0 < в < 1/2. Here W|[0,n] = [L2,W2,]e is the Sobolev space. We consider the problem of equieonvergenee in W|[0, n]-norm of two expansions of a function f G L2[0,n], The first one is constructed using the system of the eigenfunctions and associated
2012-06-26T00:00:00ZCUBATURE FORMULAS OF S.L. SOBOLEV: EVOLUTION OF THE THEORY AND APPLICATIONS 1
http://repository.enu.kz:8080/handle/123456789/1557
CUBATURE FORMULAS OF S.L. SOBOLEV: EVOLUTION OF THE THEORY AND APPLICATIONS 1
M.D. Ramazanov; D.Y. Rakhmatullin; E.L. Bannikova
The paper contains the description of the theory of approximate calculation of integrals over arbitrary multi-dimensional domains. This research branch is developed in several research centers in Russia and, in particular, in the Ufa Mathematical Institute of the Russian Academy of Sciences, We consider the best approximations of linear functional on a certain semi-Banaeh space B bv linear combinations of the Dirac functions with supports in the nodes of a certain lattice:
2012-06-26T00:00:00ZON THE SHARPNEESS OF A CERTAIN SPECTRAL STABILITY ESTIMATE FOR THE DIRICHLET LAPLACIAN
http://repository.enu.kz:8080/handle/123456789/1555
ON THE SHARPNEESS OF A CERTAIN SPECTRAL STABILITY ESTIMATE FOR THE DIRICHLET LAPLACIAN
P.D. Lamberti; M. Perin
We consider a spectral stability estimate by Burenkov and Lamberti concerning the variation of the eigenvalues of second order uniformly elliptic operators on variable open sets in the N-dimensional euclidean space, and we prove that it is sharp for any dimension N. This is done bv studying the eigenvalue problem for the Diriehlet Laplacian on special open sets inscribed in suitable spherical cones.
2012-06-26T00:00:00Z