Polytopal approximation of smooth convex bodies

@inproceedings{BrczkyPolytopalAO,
  title={Polytopal approximation of smooth convex bodies},
  author={K{\'a}roly J. B{\"o}r{\"o}czky}
}
How well a polytope of restricted complexity can approximate a smooth convex body in R? This natural question has attracted the attention of mathematicians of various background since the middle of the 20th century. In this extended abstract, polytopes are always inscribed, and restricted complexity mostly means restricting the number of vertices of the polytope. In addition distance from the smooth convex body is mostly measured by affine invariant notions like the Banach-Mazur distance or the… CONTINUE READING

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