Geodesic
The equivalence of the two definitions of recursive continuity
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 145-159 
V. P. Orevkov. The equivalence of the two definitions of recursive continuity. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part IV, Tome 20 (1971), pp. 145-159. http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a13/
@article{ZNSL_1971_20_a13,
     author = {V. P. Orevkov},
     title = {The equivalence of the two definitions of recursive continuity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {145--159},
     year = {1971},
     volume = {20},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_20_a13/}
}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

There are described conditions when recursive sequential continuity of effective operation implies its "$\varepsilon-\delta$"-continuity.