eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2023-10-15 11 1 19 23 10.12691/tjant-11-1-3 TJANT20231113 article Qian Zheng 1 Shuhong Wang shuhong7682@163.com 1 College of Mathematics Science, Inner Mongolia Minzu University, Tongliao, China In this paper, we further study the quasi-p-convex function. The concepts of strictly quasi-p-convex function and quasi-p-convex cone are given and some new fundamental characterizations and operational properties of quasi-p-convex function are obtained. http://pubs.sciepub.com/tjant/11/1/3/tjant-11-1-3.pdf p-convex set quasi-p-convex function strictly quasi-p-convex function quasi-p-convex cone