Integral representations of quermassintegrals and Bonnesen-style inequalities

Bonnesen-Style Isoperimetric Inequalities

Robert Osserman · American Mathematical Monthly · 1979 · 244 citations

Mathematical Programming, Integral Geometry, Engineering +6

On the Hessian of a function and the curvatures of its graph.

Robert C. Reilly · The Michigan Mathematical Journal · 1974 · 186 citations · Full text

Geometric Partial Differential Equation, Graph Theory, Geometry +4

The determination of convex bodies from their mean radius of curvature functions

William J. Firey · Mathematika · 1967 · 65 citations

Integral Geometry, Geometric Modeling, Geometric Partial Differential Equation +9

A Proof of Minkowski's Inequality for Convex Curves

Harley Flanders · American Mathematical Monthly · 1968 · 45 citations

Integral Geometry, Convex Curves, American Mathematical Monthly +2

Approximating convex bodies by algebraic ones

William J. Firey · Archiv der Mathematik · 1974 · 18 citations

Mathematical Programming, Engineering, Geometry +6