On the convergence of positive increasing functions to infinity
Authors
V. V. Buldygin
Нац. техн. ун-т Украины „КПИ”, Киев
O. I. Klesov
Nat. Techn. Univ. Ukraine "KPI", Kyiv
J. G. Steinebach
Math. Inst., Univ. Koln, Germany
Abstract
We study the conditions of convergence to infinity for some classes of functions extending the well-known class of regularly varying (RV) functions, such as, e.g., $O$-regularly varying (ORV) functions or positive increasing (PI) functions.