Beta
ManageSearchChatDiscover
387153

Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions

Article

Last updated: 05 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

-

Abstract

By using power-mean integral inequality and Hölder's integral inequality, this paper
establishes some new inequalities of Simpson type for functions whose three derivatives in absolute
value are the class of ( α, m )-geometric-arithmetically-convex functions. Finally, some applications to
special means of positive real numbers have also been presented.

DOI

10.1016/j.joems.2015.05.009

Keywords

convex function, ( α, m )-GA-convex functions, Simpson type inequality

Authors

First Name

YuJiao

Last Name

Li

MiddleName

-

Affiliation

Department of Mathematics, Science College, China Three Gorges University, Yichang 443002, China

Email

-

City

-

Orcid

-

First Name

Ting

Last Name

Du

MiddleName

TSong

Affiliation

Department of Mathematics, Science College, China Three Gorges University, Yichang 443002, China, Hubei Province Key Laboratory of System Science in Metallurgical Process, Wuhan University of Science and Technology, Wuhan 430081, China

Email

-

City

-

Orcid

-

Volume

24

Article Issue

2

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

175

Page End

180

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 175-180.pdf

PDF . 353.2kB

Link

https://joems.journals.ekb.eg/article_387153.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387153

Order

387,153

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Some Simpson type integral inequalities for functions whose third derivatives are ( α, m )- GA-convex functions

Details

Type

Article

Created At

21 Dec 2024