Geodesic
O-regularly Varying Functions and Some Asymptotic Relations
Publications de l'Institut Mathématique, _N_S_61 (1997) no. 75, p. 44 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

We prove that in the class of measurable positive functions defined on the interval $I_a = [\,a,+\infty )$ $(a > 0)$, the class of functions which preserve the strong asymptotic equivalence on the set of functions $\{x \,\colon I_a \mapsto \Bbb R^+ ,\, x(t) \to +\infty, t \to +\infty \}$, is a class of $\Cal O$--regularly varying functions with continuous index function. We also prove a representation theorem for functions from this class, and a morphism-theorem for some asymptotic relations.
Classification : 26A12 
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     author = {Dragan {\DJ}ur\v{c}i\'c},
     title = {O-regularly {Varying} {Functions} and {Some} {Asymptotic} {Relations}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {44 },
     publisher = {mathdoc},
     volume = {_N_S_61},
     number = {75},
     year = {1997},
     zbl = {0901.26002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1997_N_S_61_75_a6/}
}
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Dragan Đurčić. O-regularly Varying Functions and Some Asymptotic Relations. Publications de l'Institut Mathématique, _N_S_61 (1997) no. 75, p. 44 . http://geodesic.mathdoc.fr/item/PIM_1997_N_S_61_75_a6/