Steinebach J. G.
Ukr. Mat. Zh. - 2010. - 62, № 10. - pp. 1299–1308
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.
Ukr. Mat. Zh. - 2002. - 54, № 2. - pp. 149-169
We study properties of a subclass of ORV functions introduced by Avakumović and provide their applications for the strong law of large numbers for renewal processes.