A generalization of Simpson’s inequality via differentiable mapping using extended (s, m)-convex functions

Tingsong Du, Yujiao Li and Zhiqiao Yang

Applied Mathematics and Computation, 2017, vol. 293, issue C, 358-369

Abstract: The authors deduce a differentiable mapping integral identity with two parameters. Using this integral identity, this paper establishes new inequalities of Simpson type for extended (s, m)-convex functions under certain conditions. This contributes to new better estimates than the earlier results. Finally, these inequalities are applied to special means.

Keywords: Simpson’s inequality; Hölder’s inequality; (s, m)-Convex function (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316305409
Full text for ScienceDirect subscribers only

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:eee:apmaco:v:293:y:2017:i:c:p:358-369

DOI: 10.1016/j.amc.2016.08.045

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().