Sommario
Vengono studiate, in forma generale, le trasformazioni di una successione {S n } che siano esprimibili mediante una funzione razionale dei terminiS n .
Si determinano le caratteristiche della nuova successione ottenuta e, in particolare, si trovano le condizioni perchè la nuova successione abbia lo stesso limite della {S n } ed nna maggiore rapidità di convergenza.
Abstract
For a given sequence {S n }, the transformations that can be expressed by a rational function of the termsS n , are studied in a general way.
The characteristics of the new obtained sequence are determined together with the condition that the new sequence have the same limit of {S n } and a greater rate of convergence.
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Bibliografia
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Pennacchi, R. Le trasformazioni razionali di una successione. Calcolo 5, 37–50 (1968). https://doi.org/10.1007/BF02575564
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DOI: https://doi.org/10.1007/BF02575564