A new approach to error inequalities: From Euler-Maclaurin bounds to cubically convergent algorithm

A new approach to error inequalities: From Euler-Maclaurin bounds to cubically convergent algorithm

In this paper, we aimed to investigate the error inequality of the open method, known as Euler-Maclaurin's inequality, which is similar to Simpson's rule. We intended to explore some novel Maclaurin-like inequalities involving functions having convexity properties. To further accomplish th...

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Bibliographic Details
Main Authors: Miguel Vivas-Cortez, Usama Asif, Muhammad Zakria Javed, Muhammad Uzair Awan, Yahya Almalki, Omar Mutab Alsalami
Format: Article
Language:English
Published: AIMS Press 2024-12-01
Series:AIMS Mathematics
Subjects:
convex functions
simspon's rule
euler-maclaurin's inequality
hölder's inequality
iterative scheme
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241701
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