To the Theory of Implicit Functions
Informatics and Automation, Approximation theory. Harmonic analysis, Tome 219 (1997), pp. 258-268.

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This article constitutes remarks to the classical theorems on implicit functions. The proofs of these theorems are presented and estimates are emphasized which can be useful in the study of the convergence of a sequence of this kind of functions.
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     author = {S. M. Nikol'skii},
     title = {To the {Theory} of {Implicit} {Functions}},
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S. M. Nikol'skii. To the Theory of Implicit Functions. Informatics and Automation, Approximation theory. Harmonic analysis, Tome 219 (1997), pp. 258-268. http://geodesic.mathdoc.fr/item/TRSPY_1997_219_a17/