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On deferred statistical A-convergence of fuzzy sequence and applications | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 19، شماره 2، خرداد و تیر 2022، صفحه 119-131 اصل مقاله (193.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2022.6794 | ||
| نویسندگان | ||
L. Nayak1؛ M. Mursaleen2؛ P. Baliarsingh  3
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| 1Department of Mathematics, School of Applied Sciences, Kalinga Institute of Industrial Technology, Bhubaneswar-751024, India | ||
| 2Al-Qaryah, Street No. 1 (West), Doharra, Aligarh 202002, India | ||
| 3Institute of Mathematics and Applications, Bhubaneswar-751029, Odisha, India | ||
| چکیده | ||
| This paper introduces the idea of deferred-statistical A-convergence of order β of the sequence of fuzzy numbers by using a regular matrix Aand deferred Ces\`{a}ro mean $D_{p,q}$. Also, we establish some relations between the proposed idea and the strong deferred A-summability of sequences of fuzzy numbers. As an application, we apply this newly statistical convergence for proving fuzzy Korovkin-type approximation theorem. Some illustrative examples are provided to justify the results obtained from this investigation. | ||
| کلیدواژه‌ها | ||
| Fuzzy sequence؛ statistical convergence؛ regular matrix؛ fuzzy-deferred Ces`{a}ro mean؛ fuzzy number؛ deferred-statistical convergence؛ fuzzy type Korovkin-theorem | ||
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آمار تعداد مشاهده مقاله: 269 تعداد دریافت فایل اصل مقاله: 312 |
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