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  Volume 9, Issue 3, Article 66
A Local Minimum Energy Condition of Hexagonal Circle Packing

    Authors: Kanya Ishizaka,  
    Keywords: Packing, Energy, Convex function.  
    Date Received: 21/09/07  
    Date Accepted: 10/07/08  
    Subject Codes:

26D15, 74G65.

    Editors: Sever S. Dragomir,  

A sufficient condition for the energy of a point such that a local minimum of the energy exists at every triangular lattice point is obtained. The condition is expressed as a certain type of strong convexity condition of the function which defines the energy. New results related to Riemann sum of a function with such the convexity and new inequalities related to sums on triangular lattice points are also presented.

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