Pure and Applied Mathematics Journal

Volume 3, Issue 6, December 2014

  • 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: 02 November 2014
    Accepted: 13 November 2014
    Published: 17 November 2014
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    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.
  • 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
    Published:
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    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 ... Show More
  • New Fixed Point Theorems of Condensing Mappings Satisfying the Interior Condition in Banach Space

    Shujia Chen, Shaoyuan Xu

    Issue: Volume 3, Issue 6, December 2014
    Pages: 126-131
    Received: 02 November 2014
    Accepted: 16 November 2014
    Published: 19 November 2014
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    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.
  • 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: 08 December 2014
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    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.
  • 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: 04 January 2015
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    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... Show More