Are points on the edge of a polygon inside the polygon?

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This seems like a simple question but I did not find a clear answer to this by Googleing. For a simple polygon that is not self-intersecting, such as a triangle or square, if an arbitrary point is part of the edge of the polygon, is it said that it's inside the polygon (part of it) or not?

In other words, what type of inequality is used for polygons?

A source would be much appreciated for any answer.