Simpson’s Rule and Hermite–Hadamard Inequality for Non-Convex Functions

Slavko Simić and Bandar Bin-Mohsin
Additional contact information
Slavko Simić: Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam
Bandar Bin-Mohsin: Department of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Mathematics, 2020, vol. 8, issue 8, 1-10

Abstract: In this article we give a variant of the Hermite–Hadamard integral inequality for twice differentiable functions. It represents an improvement of this inequality in the case of convex/concave functions. Sharp two-sided inequalities for Simpson’s rule are also proven along with several extensions.

Keywords: hermite-hadamard integral inequality; twice differentiable functions; convex functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/8/8/1248/pdf (application/pdf)
https://www.mdpi.com/2227-7390/8/8/1248/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:8:p:1248-:d:392545

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().