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Journal articles (2019), Journal of Mathematical Sciences, 237 (5), pp. 621-630

On functions bounded by Karamata functions

CADENA M., KRATZ Marie , OMEY E.

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. Link to the article

CADENA, M., KRATZ, M. and OMEY, E. (2019). On functions bounded by Karamata functions. Journal of Mathematical Sciences, 237(5), pp. 621-630.