@article { author = {Bakhtiari, Hassan and Mohebi, Hossein}, title = {Characterizing sub-topical functions}, journal = {Wavelet and Linear Algebra}, volume = {4}, number = {2}, pages = {13-23}, year = {2017}, publisher = {Vali-e-Asr university of Rafsanjan}, issn = {2383-1936}, eissn = {2476-3926}, doi = {10.22072/wala.2017.61257.1110}, abstract = {In 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.}, keywords = {sub-topical function,elementary function,polar function,plus-co-radiant set,abstract convexity}, url = {https://wala.vru.ac.ir/article_29393.html}, eprint = {https://wala.vru.ac.ir/article_29393_0ee808b7959b2874e9dabf0d4972296f.pdf} }