On Functions Bounded by Karamata Functions

© 2019, Springer Science+Business Media, LLC, part of Springer Nature. 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.

Jaar van publicatie:2019

Toegankelijkheid:Closed