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On Functions Bounded by Karamata Functions


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Resumo

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.

Sobre autores

M. Cadena

Universidad de las Fuerzas Armadas, DECE

Autor responsável pela correspondência
Email: mncadena2@espe.edu.ec
Equador, Sangolqui

M. Kratz

ESSEC Business School, CREAR

Email: mncadena2@espe.edu.ec
França, Cergy-Pontoise

E. Omey

KU Leuven at Campus Brussels

Email: mncadena2@espe.edu.ec
Bélgica, Brussels

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