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On extended Real Valued Quasi-Concave Functions | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 2، دی 2021، صفحه 163-180 اصل مقاله (494.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.17976.1158 | ||
| نویسندگان | ||
| Somayeh Mirzadeh* 1؛ Samaneh Bahrami2 | ||
| 1Department of Mathematics, Hormozgan University, Bandar Abbas, Iran | ||
| 2Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| In this paper, we first study the non-positive decreasing and inverse co-radiant functions defined on a real locally convex topological vector space X. Next, we characterize non-positive increasing, co-radiant and quasi-concave functions over X. In fact, we examine abstract concavity, upper support set and superdifferential of this class of functions by applying a type of duality. Finally, we present abstract concavity of extended real valued increasing, co-radiant and quasi-concave functions. | ||
| کلیدواژهها | ||
| Abstract concavity؛ Duality؛ Co-radiant function؛ Quasi-concave function؛ Upper support set | ||
| مراجع | ||
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