On generalized Young’s Inequality
Volume 119 / 2019
Banach Center Publications 119 (2019), 295-309
MSC: 46E30, 46B20, 26A51, 26A48.
DOI: 10.4064/bc119-17
Abstract
We generalize Young’s inequality to Orlicz functions. The Young’s inequality is widely used not only in Mathematics but also in Mechanics and Risk Management. We show that for Orlicz function ${\Phi}$, its Young complementary function $\widetilde{\Phi}$ and dual complementary function $\Phi^*$ coincide.
