Pure and Applied Mathematics Journal

Volume 9, Issue 5, October 2020

  • A 2-Stage Implicit Runge-Kutta Method Based on Heronian Mean for Solving Ordinary Differential Equations

    Adegoke Stephen Olaniyan, Omolara Fatimah Bakre, Moses Adebowale Akanbi

    Issue: Volume 9, Issue 5, October 2020
    Pages: 84-90
    Received: 23 July 2020
    Accepted: 17 August 2020
    Published: 8 September 2020
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    Abstract: In recent times, the use of different types of mean in the derivation of explicit Runge-Kutta methods had been on increase. Researchers have explored explicit Runge-Kutta methods derivation by using different types of mean such as geometric mean, harmonic mean, contra-harmonic mean, heronian mean to name but a few; as against the conventional expli... Show More
  • Exploration of Long-term CD4 Profile in HIV Patients Under HAART at Mizan-Tepi University Teaching Hospital and Tepi General Hospital, South Western Ethiopia

    Solomon Abebaw Andargie, Assaye Belay Gelaw

    Issue: Volume 9, Issue 5, October 2020
    Pages: 91-95
    Received: 18 August 2020
    Accepted: 27 August 2020
    Published: 14 September 2020
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    Abstract: Currently, because of the wide availability and free service of HAART, HIV/AIDS related morbidity and mortality has decreased significantly. However, patients accessing antiretroviral treatment (ART) programmes in sub-Saharan Africa frequently have very advanced immunodeficiency and various reserches suggest that such patients may have diminished c... Show More
  • Characterizations of Jordan *-derivations on Banach *-algebras

    Guangyu An, Ying Yao

    Issue: Volume 9, Issue 5, October 2020
    Pages: 96-100
    Received: 11 August 2020
    Accepted: 18 September 2020
    Published: 28 October 2020
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    Abstract: Suppose that is a real or complex unital Banach *-algebra, is a unital Banach -bimodule, and G ∈ is a left separating point of . In this paper, we investigate whether the additive mapping δ: satisfies the condition A,B, AB = G ⇒ Aδ(B)+δ(A)B*= δ(G) characterize Jordan *-derivations. Initially, we prove that if is a real unital C*-algebra and G = I is the unit element in , then δ (non-necessarily continuous) is a Jordan *-derivation. In addition, we prove that if is a real unital C*-algebra and δ is continuous, then δ is a Jordan *-derivation. Finally, we show that if is a complex factor von Neumann algebra and δ is linear, then δ (non-necessarily continuous) is equal to zero.