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Annali di Matematica Pura ed Applicata

, Volume 101, Issue 1, pp 321–336 | Cite as

Some continuity properties of upper and lower integral difference functionals

  • William D. L. Appling
Article

Summary

By means of continuity properties of upper and lower integral difference functionals, characterizations are obtained of absolute continuity of finitely additive non negative-valued set functions and continuity of real-valued functions defined onN.

Keywords

Difference Functional Continuity Property Absolute Continuity Integral Difference 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    W. D. L. Appling,Some Integral Characterizations of Absolute Continuity, Proc. Amer. Math. Soc.,18 (1967), pp. 94–99.CrossRefzbMATHMathSciNetGoogle Scholar
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    W. D. L. Appling,Summability of Real-Valued Set Functions, Riv. Mat. Parma,8 (1967), pp. 77–100.zbMATHMathSciNetGoogle Scholar
  3. [3]
    W. D. L. Appling,Integral Representations and Refinement-Unboundedness, Proc. Amer. Math. Soc.,19 (1968), pp. 837–842.CrossRefzbMATHMathSciNetGoogle Scholar
  4. [4]
    W. D. L. Appling,Continuity and Set Function Summability, Ann. Mat. Pura Appl.,87 (1970), pp. 357–374.CrossRefzbMATHMathSciNetGoogle Scholar
  5. [5]
    A. Kolmogoroff,Untersuchungen über den Integralbegriff, Math. Ann.,103 (1930), pp. 654–696.CrossRefzbMATHMathSciNetGoogle Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1974

Authors and Affiliations

  • William D. L. Appling
    • 1
  1. 1.Denton

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