Generalizations of the Lagrange Mean Value Theorem and Applications

Miodrag Mateljević, Marek Svetlik, Miloljub Albijanić, Nebojša Savić

In this paper we give a generalization of the Lagrange mean value theorem via lower and upper derivative, as well as appropriate criteria of monotonicity and convexity forarbitrary function $f:(a,b)\to\mathbf{R}$. Some applications to the neoclassical economic growth model are given (from mathematical point of view).