• Bulletin of the Korean Mathematical Society
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• v.39 no.2
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• pp.199-209
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• 2002

In this paper, we investigate the problem of stability of the quadratic functional equation f(x+y+z)+f(y-z)+f(y-z)+f(x-z) = 3f(x)+3f(y)+3f(z) on abelian group.

• Bulletin of the Korean Mathematical Society
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• v.40 no.2
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• pp.183-193
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• 2003

In this Paper, we Prove the stability Of E quadratic type functional equation (equation omitted).

• Journal of the Chungcheong Mathematical Society
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• v.22 no.1
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• pp.31-37
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• 2009

In this paper, we obtain the generalized Hyers-Ulam stability of a functional equation and a system of functional equations on Jensen-quadratic mappings.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.83-93
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• 2016

In this paper, we introduce a generalized quadratic functional equation with several variables and then investigate its generalized Hyers-Ulam stability in normed spaces.

• Bulletin of the Korean Mathematical Society
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• v.43 no.4
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• pp.737-745
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• 2006

In this paper, we will investigate the Hyers-Ulam stability of an involutive A-quadratic mapping.

• Journal of the Chungcheong Mathematical Society
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• v.14 no.2
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• pp.1-7
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• 2001

In this paper we prove the stability of some generaliged quadratic functional equation $$a^2f(\frac{x+y}{a})+a^2f(\frac{x-y}{a})=2f(x)+2f(y)$$.

• East Asian mathematical journal
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• v.35 no.3
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• pp.331-340
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• 2019

In this paper, we investigate the stability for the functional equation $f(x+ky)-kf(x+y)+kf(x-y)-f(x-ky)-(k^3-k)f(y)+(k^3-k)f(-y)=0$ in the sense of M. S. Moslehian and Th. M. Rassias.

• Journal of the Chungcheong Mathematical Society
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• v.32 no.1
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• pp.1-14
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• 2019

We prove the generalized Hyers-Ulam-Rassias stability problem of the quadratic functional equation with involution in the fuzzy quasi ${\beta}$-normed space by using the fixed point method.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.3
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• pp.411-424
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• 2010

In this paper we consider a generalized form of quadratic functional equations and establish new theorems about the generalized Hyers-Ulam stability of the generalized form of quadratic equations in fuzzy normed spaces.

• Journal of the Chungcheong Mathematical Society
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• v.19 no.3
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• pp.263-274
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• 2006

In this paper, we prove the Hyers-Ulam-Rassias stability of the quadratic mapping in generalized quasi-Banach spaces, and of the quadratic mapping in generalized p-Banach spaces.