JIPAM
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, 







Abstract: 
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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