Geodesic
Integral Kernels with Regular Variation Property
Publications de l'Institut Mathématique, _N_S_72 (2002) no. 86, p. 55

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

We give a necessary and sufficient condition for a positive measurable kernel ${\bold C}(\cdot)$ to satisfy $ \int_1^xf(t){\bold C}(t)dt\sim f(x)\int_1^x\bold C(t)dt\qquad(x\to\infty) $ whenever $f(\cdot)$ is from the class of Karamata's regularly varying functions.
DOI : 10.2298/PIM0272055S
Classification : 26A12 
@article{10_2298_PIM0272055S,
     author = {Slavko Simi\'c},
     title = {Integral {Kernels} with {Regular} {Variation} {Property}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {55 },
     publisher = {mathdoc},
     volume = {_N_S_72},
     number = {86},
     year = {2002},
     doi = {10.2298/PIM0272055S},
     zbl = {1053.26001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0272055S/}
}
TY  - JOUR
AU  - Slavko Simić
TI  - Integral Kernels with Regular Variation Property
JO  - Publications de l'Institut Mathématique
PY  - 2002
SP  - 55 
VL  - _N_S_72
IS  - 86
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.2298/PIM0272055S/
DO  - 10.2298/PIM0272055S
LA  - en
ID  - 10_2298_PIM0272055S
ER  - 
%0 Journal Article
%A Slavko Simić
%T Integral Kernels with Regular Variation Property
%J Publications de l'Institut Mathématique
%D 2002
%P 55 
%V _N_S_72
%N 86
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.2298/PIM0272055S/
%R 10.2298/PIM0272055S
%G en
%F 10_2298_PIM0272055S
Slavko Simić. Integral Kernels with Regular Variation Property. Publications de l'Institut Mathématique, _N_S_72 (2002) no. 86, p. 55 . doi: 10.2298/PIM0272055S

Cité par Sources :