Hoang Mai Le

Abstract

        In this paper, the existence of $ \scriptstyle{\lim\limits_{n \rg \iy} \| f^{(n)} \|^{1/n}_{N_\P}}$ for an arbitrary function $\scriptstyle{f \in C^{\iy}(I\!R)}$ such that $\scriptstyle{f^{(n)} \in N_{\P}}$, $\scriptstyle{n = 0, 1, \ldots}$ and the concrete calculation of $\scriptstyle{\lim\limits_{n \rg \iy} \| f^{(n)} \|^{1/n}_{N_\P}}$ are shown.