Results 1 to 10 of about 105 (90)

Some estimations for the Taylor's remainder

Journal of Numerical Analysis and Approximation Theory, 2013
In this paper, we establish several integral inequalities for the Taylor's remainder by Grüss and Cheyshev inequalities.
Hui Sun, Bo-Yong Long, Yu-Ming Chu
doaj   +4 more sources

On Some Estimates of the Remainder in Taylor's Formula

Journal of Mathematical Analysis and Applications, 2001
The authors obtain various estimates for the remainder term in Taylor's formula. Cases when \(f^{(n-1)}\) is absolutely continuous, \(f^{(n)}\) is of \(r\)-Hölder type, \(L\)-Lipschitzian, monotonic, or convex, or are in \(L_2\), are separately studied. A final section deals with multivariate case estimates.
Silvestru Sever Dragomir
exaly   +2 more sources

Refinements of Majorization Inequality Involving Convex Functions via Taylor’s Theorem with Mean Value form of the Remainder

Mathematics, 2019
The aim of this paper is to establish some refined versions of majorization inequality involving twice differentiable convex functions by using Taylor theorem with mean-value form of the remainder.
Shanhe Wu, Muhammad Adil Khan, Wu Shanhe   +2 more
exaly   +3 more sources

Estimates of the Remainder in Taylor's Theorem Using the Henstock-Kurzweil Integral [PDF]

Czechoslovak Mathematical Journal, 2005
When a real-valued function of one variable is approximated by its $n^{th}$ degree Taylor polynomial, the remainder is estimated using the Alexiewicz and Lebesgue $p$-norms in cases where $f^{(n)}$ or $f^{(n+1)}$ are Henstock--Kurzweil integrable. When the only assumption is that $f^{(n)}$ is Henstock--Kurzweil integrable then a modified form of the $n^
Erik Talvila
exaly   +3 more sources

Improved validated bounds for Taylor coefficients and for Taylor remainder series

Journal of Computational and Applied Mathematics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +3 more sources

A new second order Taylor-like theorem with an optimized reduced remainder

Journal of Computational and Applied Mathematics
In this paper, we derive a variant of the Taylor theorem to obtain a new minimized remainder. For a given function $f$ defined on the interval $[a,b]$, this formula is derived by introducing a linear combination of $f'$ computed at $n+1$ equally spaced points in $[a,b]$, together with $f''(a)$ and $f''(b)$.
Joel Chaskalovic, Franck Assous
exaly   +4 more sources

A New First Order Expansion Formula with a Reduced Remainder

Axioms, 2022
This paper is devoted to a new first order Taylor-like formula, where the corresponding remainder is strongly reduced in comparison with the usual one, which appears in the classical Taylor’s formula.
Joel Chaskalovic, Hessam Jamshidipour
doaj   +1 more source

On the Remainder in the Taylor Theorem [PDF]

The College Mathematics Journal, 2009
2 pages, the proof was ...
Bary-Soroker, Lior, Leher, Eli
openaire   +2 more sources

Intrinsic fractional Taylor formula

Bruno Pini Mathematical Analysis Seminar, 2022
We consider a class of non-local ultraparabolic Kolmogorov operators and a suitable fractional Holder spaces that take into account the intrinsic sub-riemannian geometry induced by the operators.
Maria Manfredini
doaj   +1 more source

A High-Order Kalman Filter Method for Fusion Estimation of Motion Trajectories of Multi-Robot Formation

Sensors, 2022
Multi-robot motion and observation generally have nonlinear characteristics; in response to the problem that the existing extended Kalman filter (EKF) algorithm used in robot position estimation only considers first-order expansion and ignores the higher-
Miao Wang, Weifeng Liu, Chenglin Wen
doaj   +1 more source