Pure and Applied Mathematics Journal

Volume 8, Issue 1, February 2019

  • Algebra of Countably Functions and Theorems of Completeness

    Maydim Malkov

    Issue: Volume 8, Issue 1, February 2019
    Pages: 1-9
    Received: Feb. 15, 2019
    Accepted: Mar. 18, 2019
    Published: Apr. 09, 2019
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    Abstract: An algebraic approach to the theory of countable functions is given. Compositions (superpositions) of functions are used instead of recursions. Arithmetic and analytic algorithms are defined. All closed sets are founded. Mathematically precise definitions of logic algorithms with quantifiers of existence and universality are given. Logic algorithm ... Show More
  • Comparison Between the Production of Hibiscus in Kordofan States Using Matlab

    Abdel Radi Abdel Rahman Abdel Gadi, Ragaa Mohammed Haj Ebrahim, Nedal Hassan Elbadowi Eljaneid

    Issue: Volume 8, Issue 1, February 2019
    Pages: 10-17
    Received: Jan. 23, 2019
    Accepted: Mar. 04, 2019
    Published: Apr. 18, 2019
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    Abstract: Hibiscus (Karkadi) contains plant acids such as malic, chemical and that indicates its high importance for humans. Many industries depend on Karkadi in most of the areas in Sudan due to its economic and medical benefits . In this study the statistical data of Hibiscus will be analyzed using Matlab. This study aims to compare and analyze the data of... Show More
  • Boundedness for Sublinear Operators with Rough Kernels on Weighted Grand Morrey Spaces

    Junmei Wang

    Issue: Volume 8, Issue 1, February 2019
    Pages: 18-29
    Received: Mar. 23, 2019
    Accepted: Apr. 22, 2019
    Published: May 09, 2019
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    Abstract: In this paper, we study the boundedness of some sublinear operators with rough kernels, satisfied by most of the operators in classical harmonic analysis, on the generalized weighted grand Morrey spaces. More specifically, we show that the sublinear operators with rough kernels are bounded on these spaces under the conditions that the operators and... Show More