ABSTRACT
Fenchel's inequality ( considered in chapter 21) holds for curves in the n-dimensional Euclidean space [63]; if y is a closed C2-regular curve with length of arc s and the first curvature k l ( s ) in the n-dimensional Euclidean space E", then
and Jy kl ( S ) ds = 27r if and only if y is flat and convex. In this chapter we demonstrate one generalization of Fenchel's inequality obtained by Gorkaviy [64].
