Inequalities involving the sequence 3√ (a + 3√ (a +··· + 3√ (a)))
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Luo, Qiu-Ming, Qi, Feng, Barnett, Neil S and Dragomir, Sever S (2001) Inequalities involving the sequence 3√ (a + 3√ (a +··· + 3√ (a))). RGMIA research report collection, 4 (4).
Abstract
In this article, the convergence of the sequence [3√ (a + 3√ (a +··· + 3√ (a)))]/n is proved, and some inequalities involving this sequence are established for a > 0. As by-product, two identities involving irrational numbers are obtained. Two open problems are proposed.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17662 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | inequality, sequence, ratio, convergence, identity, irrational number |
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