Upper and lower integral difference functionals, closest approximations, and integrability
Rendiconti del Seminario Matematico della Università di Padova, Tome 52 (1974), pp. 1-24.
@article{RSMUP_1974__52__1_0,
     author = {Appling, William D. L.},
     title = {Upper and lower integral difference functionals, closest approximations, and integrability},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {1--24},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {52},
     year = {1974},
     mrnumber = {404565},
     zbl = {0325.28006},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_1974__52__1_0/}
}
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
SP  - 1
EP  - 24
VL  - 52
PB  - Seminario Matematico of the University of Padua
UR  - http://www.numdam.org/item/RSMUP_1974__52__1_0/
LA  - en
ID  - RSMUP_1974__52__1_0
ER  - 
%0 Journal Article
%A Appling, William D. L.
%T Upper and lower integral difference functionals, closest approximations, and integrability
%J Rendiconti del Seminario Matematico della Università di Padova
%D 1974
%P 1-24
%V 52
%I Seminario Matematico of the University of Padua
%U http://www.numdam.org/item/RSMUP_1974__52__1_0/
%G en
%F RSMUP_1974__52__1_0
Appling, William D. L. Upper and lower integral difference functionals, closest approximations, and integrability. Rendiconti del Seminario Matematico della Università di Padova, Tome 52 (1974), pp. 1-24. http://www.numdam.org/item/RSMUP_1974__52__1_0/

[1] W.D.L. Appling, Interval functions and the Hellinger integral, Duke Math. J., 29 (1962), 515-520. | MR | Zbl

[2] W.D.L. Appling, Integral representations and refinement unboundedness, Proc. Amer. Math. Soc., 19 (1968), 837-842. | MR | Zbl

[3] W.D.L. Appling, Summability of real-valued set functions, Riv. Mat. Parma, (2), 8 (1967), 77-100. | MR | Zbl

[4] W.D.L. Appling, Continuity and set function summability, Annali di Matematica pura e applicata, 87 (1970), 357-374. | MR | Zbl

[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. | MR | Zbl

[6] W.D.L. Appling, Set functions, finite additivity and distribution functions, Annali di Matematica pura e applicata, accepted for publication; to appear. | MR | Zbl

[7] A. Kolmogoroff, Untersuchungen uber den Integralbegriff, Math. Ann., 103 (1930), 654-696. | JFM | MR