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Logarithmic convexity of extended mean values
Author(s):
Feng
Qi
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1787-1796.
MSC (2000):
Primary 26A51;
Secondary 26B25, 26D07
Posted:
December 20, 2001
MathSciNet review:
1887027
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Abstract:
In this article, the logarithmic convexity of the extended mean values are proved and an inequality of mean values is presented. As by-products, two analytic inequalities are derived. Two open problems are proposed.
References:
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Additional Information:
Feng
Qi
Affiliation:
Department of Mathematics, Jiaozuo Institute of Technology, Jiaozuo City, Henan 454000, People's Republic of China
Email:
qifeng@jzit.edu.cn
DOI:
10.1090/S0002-9939-01-06275-X
PII:
S 0002-9939(01)06275-X
Keywords:
Logarithmic convexity,
extended mean values,
inequality,
exponential function,
absolutely monotonic function
Received by editor(s):
May 31, 2000
Received by editor(s) in revised form:
December 26, 2000.
Posted:
December 20, 2001
Additional Notes:
The author was supported in part by NSF of Henan
Province (no. 004051800), SF for Pure Research
of the Education Department of Henan Province
(no. 1999110004), SF for the Prominent Youth of
Henan Province, Doctor Fund of Jiaozuo Institute
of Technology, SF of Henan Innovation Talents
at Universities, and NNSF (no. 10001016) of China
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2001,
American Mathematical Society
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