Inequalities and monotonicity of the ratio of the geometric means of a positive arithmetic sequence with unit difference
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
Affiliations: Department of Applied Mathematics and Informatics Jiaozuo Institute of Technology Jiaozuo City Henan 454000 China, Email: email@example.com, URL: http://rgmia.vu.edu.au/qi.html
Publication date: July 1, 2003