Geodesic
To the Theory of Implicit Functions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {258--268},
     publisher = {mathdoc},
     volume = {219},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1997_219_a17/}
}
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S. M. Nikol'skii. To the Theory of Implicit Functions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Approximation theory. Harmonic analysis, Tome 219 (1997), pp. 258-268. http://geodesic.mathdoc.fr/item/TM_1997_219_a17/