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Equivalence of sequential Henstock and topological Henstock integrals for interval valued functions | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 267-274 اصل مقاله (481.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19494.1263 | ||
| نویسندگان | ||
| Victor Odalochi Iluebe* ؛ Adesanmi Alao Mogbademu | ||
| Department of Mathematics, University of Lagos, Lagos, Nigeria | ||
| چکیده | ||
| Suppose $X$ is a locally compact Hausdorff space and $\Omega \in \bigtriangleup$. If $ F $ is an interval valued function defined in $ \Omega $ with $F:\bar \Omega\rightarrow I_{\mathbb{R}}$. Suppose $F$ is Topological Henstock integrable, is $ F $ Sequential Henstock integrable? Therefore, the purpose of this paper is to provide a positive response to this query. | ||
| کلیدواژه‌ها | ||
| Sequential Henstock integral؛ Interval valued functions؛ Topological Henstock؛ guages؛ right and left endpoints | ||
| مراجع | ||
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