Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes

Abstract This in-depth study looks at symmetric four-point Newton-Cotes-type inequalities with a focus on error estimates for numerical integration. The precision of these estimates is explored across various classes of functions, including those with bounded variation, bounded derivatives, Lipschit...

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Bibliographic Details
Main Authors: Abdelghani Lakhdari, Muhammad Uzair Awan, Silvestru Sever Dragomir, Hüseyin Budak, Badreddine Meftah
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of Inequalities and Applications
Subjects:
Newton-Cotes inequalities
Functions of bounded variation
Lipschitzian functions
Bounded functions
Convex functions
Online Access:https://doi.org/10.1186/s13660-025-03251-4
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