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.

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Published

25.10.2010

Issue

Vol. 62 No. 10 (2010)

Section

Research articles

How to Cite

Buldygin, V. V., et al. “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.