Logarithmic convexity of extended mean values
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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
- MR Author ID: 610520
- ORCID: 0000-0001-6239-2968
- Email: qifeng@jzit.edu.cn
- Received by editor(s): May 31, 2000
- Received by editor(s) in revised form: December 26, 2000
- Published electronically: 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 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 1787-1796
- MSC (2000): Primary 26A51; Secondary 26B25, 26D07
- DOI: https://doi.org/10.1090/S0002-9939-01-06275-X
- MathSciNet review: 1887027