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Research Article Open access CC BY 4.0

Generalized Hyers-Ulam Stability for a Mixed Quadratic - Quartic (QQ) Functional Equation in Quasi-Banach Spaces

K. Balamurugan, M. Arunkumar, P. Ravindiran

Journal of Advances in Mathematics and Computer Science · pp. 122–140 · Published 21 May 2015

10.9734/BJMCS/2015/17551

Abstract

In this paper we establish the general solutions and investigate the Hyers - Ulam stability of the following functional equation                               f(3x + 2y + z) + f(3x + 2y - z) + f(3x - 2y + z) + f(3x - 2y - z)                                = 72[f(x + y) + f(x - y)] + 18[f(x + z) + f(x - z)] + 8[f(y + z) + f(y - z)]                                          + 24f(2x) + 4f(2y) - 240f(x) - 160f(y) - 48f(z) in quasi-Banach spaces.

Hyers-Ulam stability quadratic mapping quartic mapping, mixed type functional equation quasi - Banach space p - Banach space.

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