On the stability of Euler-Lagrange type cubic mappings in quasi-Banach spaces |
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Authors: | Kil-Woung Jun |
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Affiliation: | Department of Mathematics, Chungnam National University, 220 Yuseong-Gu, Daejeon 305-764, Republic of Korea |
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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) |
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Keywords: | Hyers-Ulam-Rassias stability Functional inequality Cubic mapping Quasi-Banach spaces p-Banach spaces |
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