Results 51 to 60 of about 31,275 (174)

Application of Nonlinear Approximation Methods to Network Fault Estimation Problems

Results in Nonlinear Analysis, 2020
In the contemporary communication systems based on the Internet, the problem asking how to detect where the network failures have occurred is different from the problem asking how to predict numerically how often the network failures occur, because the ...
Yao Tong, Shigeo Akashi
doaj  

An Improvement of the Remainder Estimate in the Generalised Taylor Formula

, 2000
In this note we point out an estimate for the remainder in the generalised Taylor formula which improves the recent result by Matić, Pečarić and Ujević [2]
Dragomir, Sever S
core  

K. Petr's Formula of Double Integral and Estimates of its Remainder

, 2003
In the article, K. Petr’s formula of single integral is generalized to that of double integral, some important special cases and estimates of its remainder are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core  

A remainder estimate for branched rough differential equations

, 2023
Based on two isomorphisms of Hopf algebras, we provide a bound in the optimal order on the remainder of the truncated Taylor expansion for controlled differential equations driven by branched rough ...
Yang, Danyu
core   +1 more source

Some New Iyengar Type Inequalities

, 2001
Some new Iyengar type inequalities for an integral are obtained by using the generalised Taylor formula with integral ...
Qi, Feng, Cerone, Pietro, Dragomir, Sever S   +2 more
core  

An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions

, 2008
In this work, by using a special property in the integral representation of the remainder value of the Taylor series expansion, we introduce a new expansion for analytic functions.
H.M. Srivastava, Masjed-Jamei, Mohammad, Mohammad Masjed-Jamei, Srivastava, H.M.   +3 more
core   +1 more source

New Taylor-like Expansions for Functions of Two Variables and Estimates of their Remainders

, 2003
In this article, a generalisation of Sard’s inequality for Appell polynomials is obtained.
Hanna, George T, Qi, Feng, Dragomir, Sever S, Cerone, Pietro   +3 more
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Darboux's Formula with Integral Remainder of Functions with Two Independent Variables

, 2003
In the article, the noted Darboux’s formula of functions with single variable is generalized to that of functions of two independent variables with integral remainder, some important special cases of Darboux’s formula of functions with two variables are ...
Qi, Feng, Luo, Qiu-Ming, Guo, Bai-Ni
core  

New Bounds for a Perturbed Generalised Taylor's Formula

, 2000
A generalised Taylor series with integral remainder involving a convex combination of the end points of the interval under consideration is investigated. Perturbed generalised Taylor series are bounded in terms of Lebesgue p-norms on [a, b]² for f△ : [a,
Cerone, Pietro, Dragomir, Sever S
core  

Distributional Taylor formula

, 2009
We derive a distributional Taylor formula with precise integral remainder. We give applications of it and estimates for the remainder. © 2008 Elsevier Ltd.
Anastassiou, George A.
core   +1 more source