×

An estimate of the remainder in Taylor’s perturbed formula and applications. (English) Zbl 1474.26015

Summary: In this paper, we provide a new estimation for the remainder in the Taylor’s perturbed formula established by S. S. Dragomir [Math. Inequal. Appl. 2, No. 2, 183–193 (1999; Zbl 0933.26012)]. Our result improves other results existing in the literature. Also, some applications for elementary mappings and for a Beta random variable are given.

MSC:

26A24 Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems
26D15 Inequalities for sums, series and integrals

Citations:

Zbl 0933.26012
PDFBibTeX XMLCite