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

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DOI Zbl

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 
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
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     title = {Integral {Kernels} with {Regular} {Variation} {Property}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {55 },
     year = {2002},
     volume = {_N_S_72},
     number = {86},
     doi = {10.2298/PIM0272055S},
     zbl = {1053.26001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0272055S/}
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