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On Functions Bounded by Karamata Functions

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.

Año de publicación:

2019

Keywords:

    Fuente:

    scopusscopus

    Tipo de documento:

    Article

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Optimización matemática
    • Optimización matemática

    Áreas temáticas:

    • Principios generales de matemáticas
    • Análisis
    • Álgebra

    Contribuidores:

    Kratz M.Kratz M.
    Meitner CadenaMeitner Cadena
    Edward A.M. OmeyEdward A.M. Omey