一般四次泛函方程的直接模糊稳定性

Asian Research Journal of Mathematics Pub Date : 2023-06-27 DOI:10.9734/arjom/2023/v19i9696

Shalini Tomar

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引用次数: 0

摘要

本文的目的是研究广义四次泛函方程(GQFE) fq(kr1 + (k -1)r2) + fq(kr1 - (k -1)r2) = 2k4fq(r1) + 2(k -1)4fq(r2) +6k2(k -1)2[fq(r1 + r2) + fq(r1 - r2)] - 12k2(k -1)2[fq(r1) + fq(r2)]在模糊赋范空间(F.N.空间)中的广义Hyers - Ulam - Rassias (HUR)稳定性。用直接法证明了方程的稳定性。研究了Hyers - Ulam和Ulam- Gavruta - Rassias在意义上的稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Direct Fuzzy Stability of General Quartic Functional Equation

The goal of this paper is to investigate the Generalized Hyers - Ulam - Rassias (HUR) stability of generalquartic functional equation (GQFE) fq(kr1 + (k -1)r2) + fq(kr1 - (k -1)r2) = 2k4fq(r1) + 2(k -1)4fq(r2) +6k2(k -1)2[fq(r1 + r2) + fq(r1 - r2)] - 12k2(k - 1)2[fq(r1) + fq(r2)] in fuzzy normed spaces (F.N. spaces). The stability of the equation is proved by using direct method. The stability in sense of Hyers - Ulam and Ulam- Gavruta - Rassias is also studied.

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Asian Research Journal of Mathematics

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