On the convergence of positive increasing functions to infinity

  • 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


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.
How to Cite
Buldygin, V. V., O. I. Klesov, and J. G. Steinebach. “On the Convergence of Positive Increasing Functions to Infinity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 62, no. 10, Oct. 2010, pp. 1299–1308, https://umj.imath.kiev.ua/index.php/umj/article/view/2956.
Research articles