On polynomials and Lagrange’s form of the general mean-value theorem
On polynomials and Lagrange’s form of the general mean-value theorem
Suppose that in (a<x<b) (hereafter referred to as (#, &)), (1) f(x) is defined and has derivatives of the first n orders.Then, from the general mean-value theorem with Lagrange's form of remainder follows the existence of 0=0(#, A), such that (2) f(x + h) = ƒ(*) + £ ^ƒ('>(*) +s …