Mathematics Letters

Volume 4, Issue 1, March 2018

  • An Innovative Algorithmic Approach for Solving Profit Maximization Problems

    Abul Kalam Azad, Mosharraf Hossain

    Issue: Volume 4, Issue 1, March 2018
    Pages: 1-5
    Received: 10 December 2017
    Accepted: 25 December 2017
    Published: 19 January 2018
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    Abstract: The new algorithmic technique developed in this article to solve the profit maximization problems using transportation algorithm of Transportation Problem (TP) has three basic parts; first converting the maximization problem into the minimization problem, second formatting the Total Opportunity Table (TOT) from the converted Transportation Table (T... Show More
  • Permanence of a Lotka-Volterra Predator-Prey Model with Feedback Controls and Prey Diffusion

    Shuang Pan, Yonghong Li, Changyou Wang

    Issue: Volume 4, Issue 1, March 2018
    Pages: 6-13
    Received: 19 January 2018
    Accepted: 6 February 2018
    Published: 28 February 2018
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    Abstract: This paper is concerned with a multi-delay three-species predator-prey model with feedback controls and prey diffusion. By developing some new analysis techniques and using the comparison principle of differential equations, we obtained some new sufficient conditions which ensure the system to be permanent.
  • Sandor Type Inequalities for Sugeno Integral Based on s-Convex Function in the Second Sense

    Lanping Li

    Issue: Volume 4, Issue 1, March 2018
    Pages: 14-19
    Received: 1 March 2018
    Accepted: 27 March 2018
    Published: 4 May 2018
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    Abstract: Integral inequalities play important roles in the fields of measure theory, probability theory and control theory. The aim of this paper is to develop some fuzzy integral inequalities. Sugeno integral is one of the most important fuzzy integrals, which has many applications in various fields. This paper constructs some new Sandor type inequalities ... Show More
  • Bayesian Test for Lifetime Performance Index of Exponential Distribution under Symmetric Entropy Loss Function

    Guobing Fan

    Issue: Volume 4, Issue 1, March 2018
    Pages: 20-24
    Received: 1 March 2018
    Accepted: 27 March 2018
    Published: 4 May 2018
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    Abstract: The task of this paper is to estimate the lifetime performance index of Exponential distribution. A Bayesian test procedure is established under symmetric entropy loss function. Firstly, Bayesian estimation of life performance index is obtained, then a Bayesian test procedure for lifetime performance index is proposed. Finally, an applied example i... Show More