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Sequences of Cesaro type using lacunary notion | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 114، دوره 13، شماره 2، مهر 2022، صفحه 1399-1405 اصل مقاله (389.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.21237.2242 | ||
| نویسنده | ||
| Abdul Hamid Ganie* | ||
| Basic Science Department, College of Science and Theoretical Studies, Saudi Electronic University-Abha Male, 61421, Kingdom of Saudi Arabia | ||
| تاریخ دریافت: 10 شهریور 1399، تاریخ بازنگری: 05 شهریور 1400، تاریخ پذیرش: 13 شهریور 1400 | ||
| چکیده | ||
| The scenario of this article is to introduce the space $\mathfrak{R}^{t}_s(p, \Delta)$ based on a general Riesz sequence space. Its completeness property is derived and its linear isomorphism property with $\ell(p)$ is proved. The K\"{o}the-dual property of the space $\mathfrak{R}^{t}_s(p, \Delta)$ is also derived. Furthermore, its basis is constructed and some characterization of infinite matrices are given. | ||
| کلیدواژه‌ها | ||
| Ces`{a}ro sequences؛ lacunary sequences؛ Fr'{e}chet space | ||
| مراجع | ||
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