Inequalities involving the sequence 3√ (a + 3√ (a +··· + 3√ (a)))

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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