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On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces
Authors:Kil-Woung Jun
Affiliation:Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon 305-764, Republic of Korea
Abstract:In this paper, we solve the generalized Hyers-Ulam-Rassias stability problem for Euler-Lagrange type cubic functional equations
f(ax+y)+f(x+ay)=(a+1)2(a−1)[f(x)+f(y)]+a(a+1)f(x+y)
Keywords:Hyers-Ulam-Rassias stability   Functional inequality   Cubic mapping   Quasi-Banach spaces   p-Banach spaces
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