Geodesic
On the expansion of functions with dominating derivative in series of algebraic polynomials
Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 533-540 
V. Ya. Yanchak. On the expansion of functions with dominating derivative in series of algebraic polynomials. Matematičeskie zametki, Tome 5 (1969) no. 5, pp. 533-540. http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a4/
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     author = {V. Ya. Yanchak},
     title = {On the expansion of functions with dominating derivative in series of algebraic polynomials},
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     year = {1969},
     volume = {5},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_5_a4/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a function, which is defined on a square and whose mixed $(k,l)$ derivative satisfies a repeated Lipschitz condition, can be expanded in a series of algebraic polynomials which are bounded, thus permitting inversion.