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 NameAffiliation
LIU Zheng Faculty of Science
Anshan University of Science and Technology
Liaoning
China 
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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
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