Equivalent monotone versions of PRV functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:401

Article

Buldygin, V. V.¹  Klesov, O. I.¹  Steinebach, J. G.² 

[1] Natl Tech Univ Ukraine KPI, Dept Math Anal & Probabil Theory, UA-03056 Kiev, Ukraine

[2] Univ Cologne, Math Inst, D-50931 Cologne, Germany

关键词: Equivalent monotone version;    Pseudo-regularly varying function;    Slowly varying function;    Positive order of variation;    O-regularity;    Generalized inverse;    Asymptotically quasi-inverse;    Renewal counting process;   

DOI  :  10.1016/j.jmaa.2012.12.040

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free