Properties of the intermediate point from a mean value theorem of the integral calculus - II

Abstract

In this paper we consider two continuous functions f, g : [a, b] → ℝ and we study for these ones, under which circumstances the intermediate point function is four order di erentiable at the point x = a and we calculate its derivative.

Calculus for the intermediate point associated with a mean value theorem of the integral calculus

“…The idea was presented for different approaches, by using other hypothesis and obtaining corresponding results for other interesting problems, like the ones presented in [3], [4], [5], [6], [7], [8]. Proof.…”