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Sulla derivazione K-pseudo-simmetrica secondo Borel

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Summary

Within the present work a generalisation of the so-called Borel’s derivative (mean derivative) is studied. In such a connection a classical result by A. Khintchine, related to the Schwarz’s second derivative, is extended. Besides, some interesting aspects of that generalisation are illustrated.

Riassunto

Nella presente nota si studia un’estensione della derivata di Borel (derivata media). Viene cosi, fra l’altro, ampliato un risultato classico di A. Khintchine in relazione alla derivata seconda di Schwarz.

Vengono anche messi in luce alcuni nuovi aspetti della questione.

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Bibliografia

  1. Borel E,Modèles arithmétiques, etc. Comptes Rendus Acad. Paris, 154, p. 1148.

  2. Khintchine A. Recherches sur la structure des fonctions mesurables. Fund. Math. IX, 212, Warszawa, (1927).

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  3. Valenti S.,Sur la dérivation k-pseudo-symétrique des fonctions numériques, Fund. Math., in corso di stampa, Warszawa, (1971).

  4. Vallée Poussin Ch. J. de la.Intégrales de Lebesgue, etc., X ediz., Gauthier-Villars, Paris, 1950.

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Authors and Affiliations

  1. Palermo

    Santi Valenti

Authors
  1. Santi Valenti
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Additional information

Lavoro eseguito nell’ambito dell’attività dei Raggruppamenti di Ricerca del Comitato per le Scienze Matematiche del C.N.R.; (presentato da B. Pettineo).

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Valenti, S. Sulla derivazione K-pseudo-simmetrica secondo Borel. Rend. Circ. Mat. Palermo 20, 195–204 (1971). https://doi.org/10.1007/BF02844173

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  • DOI: https://doi.org/10.1007/BF02844173

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