Journal ArticleDOI
Discussions: Concerning the Remainder Term in Taylor's Formula
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This article is published in American Mathematical Monthly.The article was published on 1926-10-01. It has received 4 citations till now. The article focuses on the topics: Remainder & Term (time).read more
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Propagation of uncertainty: Expressions of second and third order uncertainty with third and fourth moments
Samir Mekid,D Vaja +1 more
TL;DR: In this paper, the authors derived complete expressions of second and third order average and uncertainty of measurements for one and two variable systems, respectively, and compared with other methods, and demonstrated the magnitude of these orders.
Journal ArticleDOI
New forms of the Taylor's remainder
TL;DR: In this paper, two new forms of the remainder in Taylor's formula involving a generalization of the Taylor-Langrange formula are presented, and an asymptotic formula for real analytic functions is given as application.
Journal Article
A simple unifying formula for Taylor's Theorem and Cauchy's Mean Value Theorem.
TL;DR: In this paper, the authors introduce a formula which generalizes Taylor's theorem from powers of linear terms z-x to functional terms \phi(z)-\phi(x), leading to a formula that reduces in a special case to Cauchy's generalized mean value theorem.
Dissertation
Improved local polynomial estimation in nonparametric time series regression
TL;DR: In this paper, a modification of local polynomial time series fitting was proposed to improve the efficiency of the conventional method when the observation error is strongly mixing, which generalizes the work of Xiao et al. in 2003, who considered an error process with an invertible linear representation.