Формула Тейлора в нормированных пространствах и метод интегрирования по частям
The paper provides an alternative proof of the well-known Taylor formula for operators mapping in normed spaces. As a method of the proof we use the method of integration by parts. This approach was previously applied to the derivation of Taylor formula with the residual member in the integral form for a function of one variable. In this article it is shown that the same method can be applied to obtain a Taylor formula for operators.