Stability Of A Mixed Type Additive And Quartic Functional Equation

摘要

In this article, we propose a new mixed type functional equation derived from additive and quartic mappings of the form a_q(2u + v) + a_q(2u - v) + a_q(u + 2v) + a_q(u - 2v) = 8[a_q(u + v) + a_q(u - v)] + a_q(2u) ? 5a_q(u) + 7a_q(-u) + 2a_q(2v) - 5a_q(?v) - 9a_q(v) and validate its classical stabilities in Banach space.