A generalisation of Ioachimescu’s constant

Author:

Sȋntămărian Alina

Abstract

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)],).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Problem C: 1525;Bătineţu-Giurgiu;Gazeta Matematicá,1994

2. Asupra unei problème a lui A. G. Ioachimescu (On a problem of A. G. Ioachimescu);Acu;Gazeta Matematică,1995q

3. Asupra unei probleme a lui A. G. Ioachimescu (On a problem of A. G. Ioachimescu);Berinde;Gazeta Matematică,1994

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1. Approximation formulas and inequalities for the Euler-Mascheroni constant;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-01-13

2. Some sequences converging towards Ioachimescu’s constant related to Ramanujan’s formula;The Ramanujan Journal;2016-11-17

3. On New Sequences Converging Towards the Ioachimescu’s Constant;Results in Mathematics;2016-10-06

4. Some new sequences that converge to the Ioachimescu constant;Journal of Inequalities and Applications;2016-06-04

5. Some new sequences that converge to a generalized Euler constant;Applied Mathematics Letters;2012-06

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