Results 251 to 260 of about 32,975 (289)

Improvements of some integral inequalities involving Taylor's remainder

Journal of Applied Mathematics and Computing, 2004
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Dah-Yan Hwang
exaly   +2 more sources

An Approximation to the Remainder of Robey's Reactive Impedance Integral

Journal of the Acoustical Society of America, 1961
A procedure is outlined for computing the remainder of Robey's Reactive Impedance Integral for the self and mutual impedance of rings on an infinitely long rigid cylindrical baffle. It is assumed that numerical integration has been carried out to a given point.
Joshua E Greenspon, Greenspon Joshua E
exaly   +2 more sources

Evaluation of Multivariate Integrals via Fluctuationlessness Theorem and Taylor’s Remainder

AIP Conference Proceedings, 2009
A recently developed Fluctuationlessness Method is used in approximating the multiple remainder terms of the integral of the multivariate Taylor expansion. This provides us with a new numerical integration method for multivariate functions.
Ercan Gürvit, N. A. Baykara, Metin Demiralp, George Maroulis, Theodore E. Simos   +4 more
openaire   +3 more sources

K. Petr's formula of double integral and estimates of its remainder

, 2003
The following theorem is a slightly modified form of K. Petr's formula for single integral. Theorem. Let \(f(x)\) be a function defined on \([a,b]\subset\mathbb{R}\) such that \(f^{(n-1)}(x)\) is absolutely continuous and let \(P_n(t)\) be a polynomial of degree \(n\) with coefficients \(a_n\) of the term \(t^n\). Then \[ \begin{multlined} \int^b_a f(x)
Luo, Qiu-Ming, Qi, Feng, Guo, Bai-Ni
openaire   +2 more sources

A Note on the Contour Integral Representation of the Remainder Term for a Gauss–Chebyshev Quadrature Rule

SIAM Journal on Numerical Analysis, 1990
It is shown that the kernel $K_n (z)$, $n ( {\text{even}} ) \geqq 2$, in the contour integral representation of the remainder term of the n-point Gauss formula for the Chebyshev weight function of the second kind, as z varies on the ellipse $\mathcal{E}_\rho = \{ {z:z = \rho e^{i\vartheta } + \rho ^{ - 1} e^{ - i\vartheta } ,0 \leqq \vartheta \leqq 2 ...
Walter Gautschi, R S Varga
exaly   +2 more sources

Calculus II and Euler also (with a Nod to Series Integral Remainder Bounds)

American Mathematical Monthly, 1994
(1994). Calculus II and Euler also (with a Nod to Series Integral Remainder Bounds) The American Mathematical Monthly: Vol. 101, No. 3, pp. 244-249.
exaly   +2 more sources

Hyperasymptotics for multidimensional integrals, exact remainder terms and the global connection problem

Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, 1997
Summary: The method of steepest descents for single dimensional Laplace-type integrals involving an asymptotic parameter k was extended by Berry and Howls in 1991 to provide exact remainder terms for truncated asymptotic expansions in terms of contributions from certain non-local saddlepoints.
Howls, C. J.
openaire   +4 more sources

A Derivation of Taylor's Formula with Integral Remainder

Mathematics Magazine, 2003
Paul Loya
exaly   +2 more sources