Akkouchi, Mohamed An estimate of the remainder in Taylor’s perturbed formula and applications. (English) Zbl 1474.26015 Bull. Int. Math. Virtual Inst. 10, No. 1, 135-143 (2020). 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 Keywords:Taylor polynomial; Taylor’s perturbed formula; remainder term in Taylor’s perturbed formula; Grüss inequality; inequality of Cheng-Sun-Matić Citations:Zbl 0933.26012 PDFBibTeX XMLCite \textit{M. Akkouchi}, Bull. Int. Math. Virtual Inst. 10, No. 1, 135--143 (2020; Zbl 1474.26015)