General mean value and remainder theorems with applications to mechanical differentiation and quadrature
General mean value and remainder theorems with applications to mechanical differentiation and quadrature
We consider a real function f(x) where x is a real variable.It is assumed that f(x),f (x), ■■■,f"~1(x) are continuous functions of x on the interval (a, ß), viz., for a = x = y3, and thatyn(x) exists on (a, ß).Let x0, xx, ■■■,xn be points of (a, ß), which …