Simpson’s Rule Revisited-Reference-Cited by-同舟云学术

Simpson’s Rule Revisited

Published:2021-03-12 Issue:07 Volume:18 Page:
ISSN:0219-8762
Container-title:International Journal of Computational Methods
language:en
Short-container-title:Int. J. Comput. Methods

Author:

Simić Slavko¹²^ORCID,Bin-Mohsin Bandar³

Affiliation:

1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

3. Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Abstract

In this paper, we give some refinements of Simpson’s rule in cases when it is not applicable in its classical form i.e., when the target function is not four times differentiable on a given interval. Some sharp two-sided inequalities for an extended form of Simpson’s rule are also proven.

Funder

Deanship of Scientific Research, King Saud University.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computational Mathematics,Computer Science (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219876221500110

Reference9 articles.

1. Some Hermite-Hadamard type inequalities for functions whose n-th derivatives are (α, m)-convex

2. Old and New on the Hermite-Hadamard Inequality

3. On a convexity property

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