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Inequalities and monotonicity of the ratio of the geometric means of a positive arithmetic sequence with unit difference

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Abstract:

For any nonnegative integer k and natural numbers n and m, the following inequalities are obtained on the ratio for the geometric means of a positive arithmetic sequence with unit difference: where is a constant. Moreover, some monotonicity results for the sequences involving are obtained, and the related inequalities are generalized.

Document Type: Research Article

DOI: http://dx.doi.org/10.1080/0020739031000149010

Affiliations: Department of Applied Mathematics and Informatics Jiaozuo Institute of Technology Jiaozuo City Henan 454000 China, Email: qifeng@jzit.edu.cn, URL: http://rgmia.vu.edu.au/qi.html

Publication date: July 1, 2003

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