Email this article On Functions Bounded by Karamata Functions
- Authors: Cadena M.1, Kratz M.2, Omey E.3
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Affiliations:
- Universidad de las Fuerzas Armadas, DECE
- ESSEC Business School, CREAR
- KU Leuven at Campus Brussels
- Issue: Vol 237, No 5 (2019)
- Pages: 621-630
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242411
- DOI: https://doi.org/10.1007/s10958-019-04187-z
- ID: 242411
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Abstract
We define a new class of positive and measurable functions that are bounded by regularly varying functions (which were introduced by Karamata). We study integrals and Laplace transforms of these functions. We use the obtained results to study the tail of convolutions of distribution functions. The results are extended to functions that are bounded by O-regularly varying functions.
About the authors
M. Cadena
Universidad de las Fuerzas Armadas, DECE
Author for correspondence.
Email: mncadena2@espe.edu.ec
Ecuador, Sangolqui
M. Kratz
ESSEC Business School, CREAR
Email: mncadena2@espe.edu.ec
France, Cergy-Pontoise
E. Omey
KU Leuven at Campus Brussels
Email: mncadena2@espe.edu.ec
Belgium, Brussels
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