Results 11 to 20 of about 32,975 (289)

Asymptotic Behaviors of Intermediate Points in the Remainder of the Euler-Maclaurin Formula [PDF]

Abstract and Applied Analysis, 2010
The Euler-Maclaurin formula is a very useful tool in calculus and numerical analysis. This paper is devoted to asymptotic expansion of the intermediate points in the remainder of the generalized Euler-Maclaurin formula when the length of the integral ...
Aimin Xu, Zhongdi Cen
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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

Some Integral Inequalities in 𝒱-Fractional Calculus and Their Applications

Mathematics, 2022
We consider the Steffensen–Hayashi inequality and remainder identity for V-fractional differentiable functions involving the six parameters truncated Mittag–Leffler function and the Gamma function.
Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Ohud Almutairi, Artion Kashuri, Y. S. Hamed   +4 more
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Young's integral inequality with upper and lower bounds

Electronic Journal of Differential Equations, 2011
Young's integral inequality is reformulated with upper and lower bounds for the remainder. The new inequalities improve Young's integral inequality on all time scales, such that the case where equality holds becomes particularly transparent in this ...
Douglas R. Anderson, Steven Noren, Brent Perreault   +2 more
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A novel computational method for solving nonlinear Volterra integro-differential equation

Kuwait Journal of Science, 2020
In this paper, we study quasilinear Volterra integro-differential equations (VIDEs). Asymptotic estimates are made for the solution of VIDE. Finite difference scheme which is accomplished by the method of integral identities with using of interpolating ...
Musa Cakir, Baransel GUNES, Hakki Duru
doaj   +1 more source

Conformally-regulated direct integration of the two-loop heptagon remainder [PDF]

Journal of High Energy Physics, 2020
Abstract We reproduce the two-loop seven-point remainder function in planar, maximally supersymmetric Yang-Mills theory by direct integration of conformally-regulated chiral integrands. The remainder function is obtained as part of the two-loop logarithm of the MHV amplitude, the regularized form of which we compute directly in ...
Bourjaily, Jacob L., Volk, Matthias, von Hippel, Matt   +2 more
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The remainder in asymptotic integration II [PDF]

Proceedings of the American Mathematical Society, 2010
Levinson’s Theorem in asymptotic integration of linear differential systems is strengthened in a quantitative way. It is shown that any decay in excess of absolute integrability appears with the remainder.
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The remainder in asymptotic integration [PDF]

Proceedings of the American Mathematical Society, 2008
Quantitative estimates for the remainder terms in Levinson’s Theorem are provided. This gives a precise meaning to the idea that small perturbations should result in small remainder terms.
openaire   +1 more source

A vectorial approach to generalize the remainder theorem [PDF]

, 2022
We propose a new computational proof for the division algorithm that, usingvector algebra, generalizes the remainder theorem to divisions for polynomials of any degreeover a generic integral domain.
Hidalgo Rosas, Marcos A., Laudano, Francesco   +1 more
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An Optimal Adaptive Grid Method Based on L1 Scheme for a Nonlinear Caputo Fractional Differential Equation

Fractal and Fractional, 2022
A nonlinear fractional differential equation with a Caputo derivative of order α is studied. This problem is discretized by using the L1 scheme on an arbitrary nonuniform mesh.
Tao Yang, Li-Bin Liu, Xiaobing Bao, Yong Zhang   +3 more
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