Upper and lower integral difference functionals, closest approximations, and integrability

William D. L. Appling

Rendiconti del Seminario Matematico della Università di Padova (1974)

  • Volume: 52, page 1-24
  • ISSN: 0041-8994

How to cite

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Appling, William D. L.. "Upper and lower integral difference functionals, closest approximations, and integrability." Rendiconti del Seminario Matematico della Università di Padova 52 (1974): 1-24. <http://eudml.org/doc/107525>.

@article{Appling1974,
author = {Appling, William D. L.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {1-24},
publisher = {Seminario Matematico of the University of Padua},
title = {Upper and lower integral difference functionals, closest approximations, and integrability},
url = {http://eudml.org/doc/107525},
volume = {52},
year = {1974},
}

TY - JOUR
AU - Appling, William D. L.
TI - Upper and lower integral difference functionals, closest approximations, and integrability
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1974
PB - Seminario Matematico of the University of Padua
VL - 52
SP - 1
EP - 24
LA - eng
UR - http://eudml.org/doc/107525
ER -

References

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  1. [1] W.D.L. Appling, Interval functions and the Hellinger integral, Duke Math. J., 29 (1962), 515-520. Zbl0108.05201MR140659
  2. [2] W.D.L. Appling, Integral representations and refinement unboundedness, Proc. Amer. Math. Soc., 19 (1968), 837-842. Zbl0159.07901MR228647
  3. [3] W.D.L. Appling, Summability of real-valued set functions, Riv. Mat. Parma, (2), 8 (1967), 77-100. Zbl0177.30802MR251187
  4. [4] W.D.L. Appling, Continuity and set function summability, Annali di Matematica pura e applicata, 87 (1970), 357-374. Zbl0214.31103MR284555
  5. [5] W.D.L. Appling, A generalization of absolute continuity and of an analogue of the Lebesgue decomposition theorem, Riv. Mat. Parma, accepted for publication; to appear. Zbl0327.28007MR401998
  6. [6] W.D.L. Appling, Set functions, finite additivity and distribution functions, Annali di Matematica pura e applicata, accepted for publication; to appear. Zbl0291.28001MR330390
  7. [7] A. Kolmogoroff, Untersuchungen uber den Integralbegriff, Math. Ann., 103 (1930), 654-696. Zbl56.0923.01MR1512641JFM56.0923.01

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