Title of article :
Equivalent monotone versions of PRV functions
Author/Authors :
S. A. Buldygin، نويسنده , , V.V. and Klesov، نويسنده , , O.I. and Steinebach، نويسنده , , J.G.، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2013
Abstract :
Let f ∗ denote the lower function of a real function f . Assuming that f ∗ ( c ) ≥ 1 for all c > 1 and f ∗ ( c 0 ) > 1 for some c 0 > 1 we prove that, if f is a pseudo-regularly varying function, then f has an equivalent monotone version.
Keywords :
Equivalent monotone version , Positive order of variation , Generalized Inverse , O -regularity , Pseudo-regularly varying function , Renewal counting process , Asymptotically quasi-inverse , Slowly varying function
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications
