@article{article_819410, title={Basic Properties of Statistical Epi-Convergence}, journal={Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi}, volume={20}, pages={968–974}, year={2020}, DOI={10.35414/akufemubid.819410}, author={Tortop, Şükrü}, keywords={Epi-Yakınsaklık, İstatistiksel Yakınsaklık, Epigraf, Fonksiyon Dizileri}, abstract={In this paper, we give some basic properties in order to use statistical epi-convergence more efficiently in future studies. Such situations are studied: Uniform statistical convergence of sequence of functions, statistical epi-limit of compound of sequence of functions, statistical epi-limit of the sum of sequence of functions, the property of epi-limit function if the sequence of functions are lower semi-continuous and the convexity of epi-limit function if each function in the sequence is convex.}, number={6}, publisher={Afyon Kocatepe Üniversitesi}