Home
|
About Journal
|
Guide
|
Editorial Board
|
Download
|
Contact
Geometric-Harmonic Mean and Characterizations of Some Mean-Values
Received:July 14, 2000
Key Words
:
Arithmetic mean
geometric mean
harmonic mean
geometric-harmonic mean
first complete elliptic integral.
Fund Project
:
Author Name
Affiliation
LIU Zheng
Faculty of Science
Anshan University of Science and Technology
Liaoning
China
Hits
:
2427
Download times
:
1573
Abstract
:
The purpose of this paper is to provide a direct proof on the fact that the geometric-harmonic mean of any two positive numbers can be calculated by a first complete elliptical integral, and then to give new characterizations of some mean-values.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2003.02.005
View Full Text
View/Add Comment
Copyright © Journal of Mathematical Research with Applications
Sponsored by:Dalian University of Technology, China Society for Industrial and Applied Mathematics
Address:No.2 Linggong Road, Ganjingzi District, Dalian City, Liaoning Province, P. R. China , Postal code :116024
Service Tel:86-411-84707392 Email:jmre@dlut.edu.cn
Designed by Beijing E-tiller Co.,Ltd.
Due to security factors, early browsers cannot log in. It is recommended to log in with IE10, IE11, Google, Firefox, and 360 new browsers.