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

DOI10.1016/j.cam.2023.115496arXiv2304.08136OpenAlexW4385973548MaRDI QIDQ6056183

Hessam Jamshidipour, Franck Assous, Joël Chaskalovic

Publication date: 30 October 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.08136

zbMATH Keywords

Lagrange interpolationTaylor's theoreminterpolation errorSimpson rulequadrature error

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Inequalities in real analysis (26Dxx)

Cites Work

• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• Improvement and further generalization of inequalities of Ostrowski-Grüss type
• Some remarks of the trapesoid rule in numerical integration
• On Simpson's inequality and applications
• A probabilistic finite element method based on random meshes: a posteriori error estimators and Bayesian inverse problems
• A modern retrospective on probabilistic numerics
• Indeterminate constants in numerical approximations of PDEs: a pilot study using data mining techniques
• NUMERICAL VALIDATION OF PROBABILISTIC LAWS TO EVALUATE FINITE ELEMENT ERROR ESTIMATES
• An Introduction to Numerical Analysis
• Probabilistic numerics and uncertainty in computations
• An inequality of Simpson type
• Improvement of some Ostrowski-Grüss type inequalities
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new second order Taylor-like theorem with an optimized reduced remainder