PERTIDAKSAMAAN ISODIAMETRIK DAN APLIKASINYA PADA TEORI UKURAN; (ISODIAMETRIC INEQUALITY AND APPLICATION ON MEASURE THEORY)

Lazwardi, Ahmad, Supama

2015 | Disertasi | FMIPA

Isodiametric inequality is an inequality which states a relation between Lebesgue outer measure of a set and it’s diameter. Isodiametric inequality provides an important relation between Lebesgue outer measure and Hausdorff measure. In this thesis, some useful topics will be discussed in order to prove isodiametric inequality, such as Hausdorff measure, product of measure, Tonelli theorem, Vitali cover theorem and Steiner symetrization. In Addition, some applications will be discussed to find some relationship between two such measures, and to provide a measure of a curve length on R n .

Kata Kunci : N