Fuzzy HUR stability of partitioned functional equations

Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJNAA-14-7_005

تاریخ نمایه سازی: 28 شهریور 1402

Abstract:

In this paper, we establish the Hyers-Ulam-Rassias stability of the following functional equation(۴p)^nf\left(\frac{x_۱+\cdots +x_{(۴p)^n}}{(۴p)^n}\right)  + ۴p\sum_{i=۱}^{(۴p)^{n-۱}} f\left(\frac{x_{۴pi-۴p+۱} + \cdots +x_{۴pi}}{۴p}\right)  = ۲  \sum_{i=۱}^{(۴p)^n} f\left(\frac{x_i+x_{i+۱}}{۲}\right)in fuzzy Banach spaces.

Authors

Alireza Sharifi

Department of Mathematics, Payame Noor University, P.O. Box ۱۹۳۹۵-۴۶۹۷, Tehran Iran

Hassan Azadi Kenary

Department of Mathematics, Yasouj University, Yasouj, Iran

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