R. Howard

activity

19982004

most citedConvex Bodies of Constant Width and Constant Brightness

1 citations · 1 across the 3 of their papers we have counts for

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math.MG2004

Smooth convex Bodies with proportional projection functions

Ralph Howard, Daniel Hug

For a convex body $K \subset R^{n}$ and $i \in {1, ..., n - 1}$ , the function assigning to any $i$ -dimensional subspace $L$ of $R^{n}$ , the $i$ -dimensional volume of the orthogonal project…

math.MG2004

A Generalized Affine Isoperimetric Inequality

Wenxiong Chen, Ralph Howard, Erwin Lutwak +2

A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetric inequalities of plane convex geometry: The Blaschke-…

math.MG2003★ 1 cited

Convex Bodies of Constant Width and Constant Brightness

Ralph Howard

In 1926 S. Nakajima (= A. Matsumura) showed that any convex body in $R^{3}$ with constant width, constant brightness, and boundary of class $C^{2}$ is a ball. We show that the regular…

math.MG1998

Extremal Approximately Convex Functions and Estimating the Size of Convex Hulls

S. J. Dilworth, Ralph Howard, James W. Roberts

A real valued function $f$ defined on a convex $K$ is anemconvex function iff it satisfies $f ((x + y) /2) \leq (f (x) + f (y)) /2 + 1.$ A thorough study of approximately convex function…