Geodesic
On equivalent slowly varying functions
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2001), pp. 3-8.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $0$ For an upward convex slowly varying function $L(t)>0$ an equivalent slowly varying function $L_1(t)$ has been constructed that is convex, infinitely differentiable, and that coincides with $L(t)>0$ on a beforehand given numerical sequence $\{t_n\}$.
Keywords: slowly varying function. 
@article{UZERU_2001_2_a0,
     author = {I. E. Danielyan},
     title = {On equivalent slowly varying functions},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {3--8},
     publisher = {mathdoc},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2001_2_a0/}
}
TY  - JOUR
AU  - I. E. Danielyan
TI  - On equivalent slowly varying functions
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2001
SP  - 3
EP  - 8
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2001_2_a0/
LA  - ru
ID  - UZERU_2001_2_a0
ER  - 
%0 Journal Article
%A I. E. Danielyan
%T On equivalent slowly varying functions
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2001
%P 3-8
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2001_2_a0/
%G ru
%F UZERU_2001_2_a0
I. E. Danielyan. On equivalent slowly varying functions. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2001), pp. 3-8. http://geodesic.mathdoc.fr/item/UZERU_2001_2_a0/

[1] D. D. Adamovic, “Sur quelques proprie’te’s des fonctions a’ croissance lente de Karamata, I, II”, Matcmaticki Vesnik, 1966, no. 3, 123–136,161–172 | MR | Zbl

[2] E. Seneta, Pravilno menyayuschiesya funktsii, Nauka, M., 1985 | MR | Zbl

[3] I. E. Danielyan , G. V. Mikaelyan, “Novoe predstavlenie medlenno menyayuscheisya funktsii”, Uchenye zapiski EGU, 2001, no. 1

[4] B. Gelbaum, Dzh. Olmsted, Kontrprimery v analize, Mir, M., 1967 | MR | Zbl

[5] R. M. Martirosyan, Dopolnitelnye glavy matematicheskogo analiza, Izd-vo EGU, Er., 1983, 296 pp.