4 citations · 4 across the 2 of their papers we have counts for
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Stationary radial centers and characterization of convex polyhedrons
Shigehiro Sakata
We investigate centers of a body (the closure of a bounded open set) defined as maximum points of potentials. In particular, we study centers defined by the Riesz potential and by…
Geometric estimation of a potential and cone conditions of a body
Shigehiro Sakata
We investigate a potential obtained as the convolution of a radially symmetric function and the characteristic function of a body (the closure of a bonded open set) with exterior c…
Experimental investigation on the uniqueness of a center of a body
Shigehiro Sakata
The object of our investigation is a point that gives the maximum value of a potential with a strictly decreasing radially symmetric kernel. It defines a center of a body in Rm. Wh…
Extremal problems for the solid angle
Shigehiro Sakata
We consider the solid angle that a planar compact subset subtends at a point in a level set of height h and study two extremal problems for the solid angle. One of the variables is…