A New First Order Expansion Formula with a Reduced Remainder

A New First Order Expansion Formula with a Reduced Remainder

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. To derive this new formula, we introduce a linear combination of the first derivative of the concer...

Full description

Bibliographic Details
Main Authors: Joel Chaskalovic, Hessam Jamshidipour
Format: Article
Language:English
Published: MDPI AG 2022-10-01
Series:Axioms
Subjects:
Taylor’s theorem
Lagrange interpolation
interpolation error
quadrature trapezoid and corrected trapezoid rule
quadrature error
Online Access:https://www.mdpi.com/2075-1680/11/10/562

Internet

https://www.mdpi.com/2075-1680/11/10/562

Similar Items