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Approximation of Functions by Singular Integrals
Rahim M. Rzaev,
Gulnara Kh. Mammadova,
Mansur Sh. Maharramov
Issue:
Volume 3, Issue 6, December 2014
Pages:
113-120
Received:
2 November 2014
Accepted:
13 November 2014
Published:
17 November 2014
Abstract: In this work questions on approximation of locally summable functions by singular integrals are investigated. Was estimated the rate of approximation in terms of various metric characteristics describing the structural properties of the given function.
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Derivations of Some Filiform Leibniz Algebras
AL-hossain Ahmad,
Khiyar AL-hossain
Issue:
Volume 3, Issue 6, December 2014
Pages:
121-125
Received:
26 September 2014
Accepted:
23 October 2014
Abstract: In this paper the two classes of filiform Leibniz algebras μ_(0 )^n and μ_(1 )^n in (n+1) dimensions of filiform Leibniz algebras such that n≥2 will be considered. The study includes derivations of naturally graded Leibniz algebras of first class L_n and second class W_n, be algebras whose multiplications rules are defined by the μ_(0 )^n and μ_(1 )^n, respectively. The algebras of derivations of naturally graded Leibniz algebras are described by linear transformations and dimensions derivations. Finally, we determine number of derivations of naturally graded Leibniz algebras.
Abstract: In this paper the two classes of filiform Leibniz algebras μ_(0 )^n and μ_(1 )^n in (n+1) dimensions of filiform Leibniz algebras such that n≥2 will be considered. The study includes derivations of naturally graded Leibniz algebras of first class L_n and second class W_n, be algebras whose multiplications rules are defined by the μ_(0 )^n and ...
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New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach Space
Issue:
Volume 3, Issue 6, December 2014
Pages:
126-131
Received:
2 November 2014
Accepted:
16 November 2014
Published:
19 November 2014
Abstract: In this paper, based on a basic result on condensing mappings satisfying the interior condition, some new fixed point theorems of the condensing mappings of this kind are obtained. As a result, the famous Petryshyn's theorem and some results of the Reference [8] are extended to the condensing mappings satisfying the interior condition.
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Visualization of Minkowski Patch
Rania Bahgat Mohamed Amer
Issue:
Volume 3, Issue 6, December 2014
Pages:
132-136
Received:
25 November 2014
Accepted:
28 November 2014
Published:
8 December 2014
Abstract: This study is an introduction to visualize Minkowskian (n, 1) geometry for all n ³1. The Minkowski geometry naturally encodes the ideas of inertial frames, time and space dilation. Moreover, it also includes studying Minkowski patch which is the natural structure of Minkowski space.
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Fractional Domination for Two Classes of Graphs
Baogen Xu,
Yan Zou,
Lixin Zhao
Issue:
Volume 3, Issue 6, December 2014
Pages:
137-139
Received:
15 November 2014
Accepted:
27 December 2014
Published:
4 January 2015
Abstract: Let be a graph, a real-valued function is said to be a dominating of G if holds for every vertex, the fractional domination function number is defined as, and the fractional total domination function number of G is analogous. In this paper we research the fractional domination problem for two classes of special graphs, obtained the fractional domination numbers of the generalized star graphs and the fractional total domination function numbers of the generalized wheel graphs.
Abstract: Let be a graph, a real-valued function is said to be a dominating of G if holds for every vertex, the fractional domination function number is defined as, and the fractional total domination function number of G is analogous. In this paper we research the fractional domination problem for two classes of special graphs, obtained the fractional domin...
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