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Volume 9, Issue 3, Article 66 |
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A Local Minimum Energy Condition of Hexagonal Circle Packing
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Authors: |
Kanya Ishizaka, |
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Keywords:
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Packing, Energy, Convex function. |
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Date Received:
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21/09/07 |
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Date Accepted:
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10/07/08 |
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Subject Codes: |
26D15, 74G65.
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Editors: |
Sever S. Dragomir, |
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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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