Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19364220171201Characterizing sub-topical functions13232939310.22072/wala.2017.61257.1110ENHassanBakhtiariShahid Bahonar University of KermanHosseinMohebiShahid Bahonar University of KermanJournal Article20170329In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtain more results on the polar of sub-topical functions.http://wala.vru.ac.ir/article_29393_0ee808b7959b2874e9dabf0d4972296f.pdf