Հտ․ 5 No. 1 (2013)
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2013-07-17
Articles
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Articles
On a convergence of the Fourier-Pade interpolation
ԱմփոփումWe investigate convergence of the rational-trigonometric-polynomial interpolation that performs convergence acceleration of the classical trigonometric interpolation by sequential application of polynomial and rational correction functions. Unknown parameters of the rational corrections are determined along the ideas of the Fourier-Pade approximations. The resultant interpolation we call as Fourier-Pade interpolation and investigate its convergence in the regions away from singularities. Comparison with other rational-trigonometric-polynomial interpolations outlines the convergence properties of the Fourier-Pade interpolation.
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Articles
The relations between matroids of arbitrary cardinality and independence spaces
ԱմփոփումThis paper deals with teh relationships between two classes of infinte matroids--the classes of matroids of arbitrary cardinality and of independence spaces primarily with the help of hyperplane set approach and sometimes of closure operator approach.
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Articles
Asymptotic estimates for the quasi-periodic interpolations
ԱմփոփումWe investigate the convergence of the quasi-periodic interpolation on the entire interval $[-1,1]$ in the $L_2$-norm and at the endpoints of the interval by the limit function behavior. In both cases we derive exact constants for the main terms of the asymptotic errors. The results of numerical experiments confirm theoretical estimates and show the behavior of the quasi-periodic interpolation for specific functions.
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Articles
Factor Rings and their decompositions in the Eisenstein integers Ring ${\huge\mathbb{Z}}\left[ \omega \right]$
ԱմփոփումIn this paper we will characterize the structure of factor rings for $\mathbb{Z}\left[ \omega \right]$ where $\omega=\frac{-1+\sqrt{-3}}{2},$is a 3rd primitive root of unity. Consequently, we can recognize prime numbers(elements) and their ramifications in $\mathbb{Z}\left[ \omega \right]$.
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Articles
A representation for convex bodies
ԱմփոփումIn this paper we extend the representation for the support function of centrally symmetric convex bodies to arbitrary convex bodies. We discuss some questions on unique determination of convex bodies and consider some classes of convex bodies in terms of support functions.
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