Geodesic
A Monotonicity Theorem and a Bernoulli-L’Hospital-Ostrowski Rule
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 273-278

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DOI

It is proved that a function is nondecreasing if it is Baire one and Darboux and fulfills Lusin’s condition (N), and if its derivative is non-negative for almost every point at which the function is derivable. Using this result, a process to formulate various results on the existence and the valuation of indeterminate forms via various monotonicity theorems is illustrated. In particular, the ordinary Bernoulli-L’Hospital rule and some of its variations obtained recenty by A. M. Ostrowski are generalized.
DOI : 10.4153/CMB-1984-041-0
Mots-clés : 26A48, 26A03, 26A24, monotonicity theorem, l’Hospital rule, Baire one function, Lusin’s condition (N), Banach condition (T 2) 
Lee, Chang-Ming. A Monotonicity Theorem and a Bernoulli-L’Hospital-Ostrowski Rule. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 273-278. doi: 10.4153/CMB-1984-041-0
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     title = {A {Monotonicity} {Theorem} and a {Bernoulli-L{\textquoteright}Hospital-Ostrowski} {Rule}},
     journal = {Canadian mathematical bulletin},
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     year = {1984},
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     doi = {10.4153/CMB-1984-041-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-041-0/}
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