On Direct Fuzzy Stability of General Quartic Functional Equation

Tomar, Shalini (2023) On Direct Fuzzy Stability of General Quartic Functional Equation. Asian Research Journal of Mathematics, 19 (9). pp. 25-31. ISSN 2456-477X

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Abstract

The goal of this paper is to investigate the Generalized Hyers - Ulam - Rassias (HUR) stability of general
quartic 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.

Item Type: Article
Subjects: Open STM Article > Mathematical Science
Depositing User: Unnamed user with email support@openstmarticle.com
Date Deposited: 28 Jun 2023 04:46
Last Modified: 05 Jun 2024 10:16
URI: http://asian.openbookpublished.com/id/eprint/1213

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