On the convergence of positive increasing functions to infinity

• Date: 2010
• Main Authors: Buldygin, V. V., Klesov, O. I., Steinebach, J. G., Булдигін, В. В., Клесов, О. І., Штайнебах, Й. Г.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2956
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.