Geodesic
Concerning the existence of the double Stieltjes mean $\sigma $-integral
Portugaliae mathematica, Tome 37 (1978) no. 3-4, pp. 307-316.

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Keywords: double Stieltjes mean sigma-integral, function of bounded variation of several variables 
@article{PORMA_1978__37_3-4_115360,
     author = {Bzoch, R. and Morrell, J.S.},
     title = {Concerning the existence of the double {Stieltjes} mean $\sigma $-integral},
     journal = {Portugaliae mathematica},
     pages = {307--316},
     publisher = {mathdoc},
     volume = {37},
     number = {3-4},
     year = {1978},
     mrnumber = {0633036},
     zbl = {0498.26006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1978__37_3-4_115360/}
}
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Bzoch, R.; Morrell, J.S. Concerning the existence of the double Stieltjes mean $\sigma $-integral. Portugaliae mathematica, Tome 37 (1978) no. 3-4, pp. 307-316. http://geodesic.mathdoc.fr/item/PORMA_1978__37_3-4_115360/