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A generalisation of Ioachimescu’s constant

Published online by Cambridge University Press:  01 August 2016

Alina Sȋntămărian
Alina Sȋntămărian*
Affiliation:
Department of Mathematics, Technical University of Cluj-Napoca, Str. C. Daicoviciu nr. 15, 400020 Cluj-Napoca, Romania e-mail: Alina.Sintamarian@math.utcluj.ro
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Extract

In the problem proposed by A. G. Ioachimescu in 1895, it is asked to be shown that the sequence , defined by , for each , is convergent and its limit lies between -2 and -1.

There have been given many generalisations and other results regarding Ioachimescu’s problem in the literature (see, for example, [2], [3], [4, Theorem 1, parts (a) and (b)], [5, problem P2, parts (i) and (ii)],).

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Articles
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The Mathematical Gazette , Volume 93 , Issue 528 , November 2009, pp. 456 - 467
Copyright
Copyright © The Mathematical Association 2009

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References

1. Ioachimescu, A. G., Problem 16, Gazeta Matematicá 1 (2), 1895, p. 39.Google Scholar
2. Bătineţu-Giurgiu, D. M., Problem 22692, Gazeta Matematicá, Seria B, 97 (7–8) (1992) p. 287.Google Scholar
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10. Bătineţu-Giurgiu, D. M., Pîrşan, L., Radovici-Mărculescu, P., Concursul anual al rezolvitorilor Gazetei Matematică - Piteşti 1994 (partea a doua) (The annual contest of the solvers of Gazeta Matematică – Piteşti 1994 (the second part)), Gazeta Matematică, Seria B, 99 (12) (1994) pp. 530–544.Google Scholar