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

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.
Published
25.10.2010
How to Cite
BuldyginV. V., KlesovO. I., and SteinebachJ. G. “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.
Section
Research articles