Geodesic
The Stieltjes Integrals for the Quaternions
Matematičeskoe obrazovanie, no. 2 (2010), pp. 41-47 
E. A. Gorin; T. N. Kazarihina. The Stieltjes Integrals for the Quaternions. Matematičeskoe obrazovanie, no. 2 (2010), pp. 41-47. http://geodesic.mathdoc.fr/item/MO_2010_2_a8/
@article{MO_2010_2_a8,
     author = {E. A. Gorin and T. N. Kazarihina},
     title = {The {Stieltjes} {Integrals} for the {Quaternions}},
     journal = {Matemati\v{c}eskoe obrazovanie},
     pages = {41--47},
     year = {2010},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MO_2010_2_a8/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The problem of the existence of the Stieltjes integral for the quaternion–valued functions is discussed.