Abstract
In this paper some necessary and sufficient conditions are given for convergence of a series with non-negative terms. As a particular case, one finds again the well-known ratio-test for convergence of series with positive terms; in such a connection, some observations are made of didactical interest. Finally, some relations are emphasiged concerning theorems of convergence for real series (here obtained) and fixed point theorems already known.
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Lavoro eseguito nell'ambito del Gruppo Nazionale per l'Analisi Funzionale e le sue Applicazioni del C. N. R.
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D'apuzzo, L. Sulla convergenza delle serie reali a termini non negativi. Rend. Circ. Mat. Palermo 28, 445–454 (1979). https://doi.org/10.1007/BF02844453
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DOI: https://doi.org/10.1007/BF02844453