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Dive into the research topics where Kil-Woung Jun is active.

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Featured researches published by Kil-Woung Jun.


Journal of Mathematical Analysis and Applications | 2002

The generalized Hyers–Ulam–Rassias stability of a cubic functional equation☆

Kil-Woung Jun; Hark-Mahn Kim

Abstract In this paper, we obtain the general solution and the generalized Hyers–Ulam stability for a cubic functional equation f(2x+y)+f(2x−y)=2f(x+y)+2f(x−y)+12f(x) .


Proceedings of the American Mathematical Society | 2000

ON THE STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS

Yang-Hi Lee; Kil-Woung Jun

In this paper we prove a generalization of the stability of approximately additive mappings in the spirit of Hyers, Ulam and Rassias.


Journal of Difference Equations and Applications | 2007

EXTENDED HYERS-ULAM STABILITY FOR A CAUCHY-JENSEN MAPPINGS

Kil-Woung Jun; Hark-Mahn Kim; John Michael Rassias

In 1940, Ulam proposed the famous Ulam stability problem. In 1941, Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In 2003–2006, the last author of this paper investigated the Hyers–Ulam stability of additive and Jensen type mappings. In this paper, we improve results obtained in 2003 and 2005 for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative additive mappings. These stability results can be applied in stochastic analysis, financial and actuarial mathematics, as well as in psychology and sociology.


Bulletin of The Korean Mathematical Society | 2005

ON THE HYERS-ULAM STABILITY OF A GENERALIZED QUADRATIC AND ADDITIVE FUNCTIONAL EQUATION

Kil-Woung Jun; Hark-Mahn Kim

In this paper, we obtain the general solution of a gen-eralized quadratic and additive type functional equation f(x + ay) + af(x - y) = f(x - ay) + af(x + y) for any integer a with a -1. 0, 1 in the class of functions between real vector spaces and investigate the generalized Hyers- Ulam stability problem for the equation.


Bulletin of The Korean Mathematical Society | 2003

HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC TYPE FUNCTIONAL EQUATION

Sang-Han Lee; Kil-Woung Jun

In this paper, we prove the stability of a quadratic type functional equation a 2 f x + y + z a + a 2 f x i y + z a + a 2 f x + y i z a + a 2 f ix + y + z a = 4f(x) + 4f(y) + 4f(z):


Bulletin of The Korean Mathematical Society | 2002

ON DERIVATIONS IN BANACH ALGEBRAS

Ick-Song Chang; Kil-Woung Jun; Yong-Soo Jung

Our main goal is to show that if there exist Jordan derivations D and G on a noncommutative (n + 1)!-torsion free prime ring R such that D(x)x n i x n G(x) 2 C(R) for all x 2 R, then we have D = 0 and G = 0. We also prove that if there exists a derivation D on a noncommutative 2-torsion free prime ring R such that the mapping x 7! (aD(x);x) is commuting on R, then we have either a = 0 or D = 0.


Journal of The Korean Mathematical Society | 2004

A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION OF DAVISON

Kil-Woung Jun; Soon-Mo Jung; Yang-Hi Lee

We prove the Hyers-Ulam-Rassias stability of the Dav- ison functional equation f(xy) + f(x + y) = f(xy + x) + f(y) for a class of functions from a ring into a Banach space and we also investigate the Davison equation of Pexider type.


Archive | 2003

On the Hyers-Ulam-Rassias Stability of a Pexiderized Quadratic Equation II

Kil-Woung Jun; Yang-Hi Lee

In this paper we prove a generalization of the stability of the Pexiderized quadratic equations f 1(x + y + z) + f 2(x) + f 3(y) + f 4(z) − f 5(x + y) − f 6(y + z) − f 7(x + z) = 0 and f 1(x + y + z) + f 2(x-y + z) + f 3(x + y − z) + f 4(− x + y + z) − 4f 5(x) − 4f 6(y) − 4f 7(z) = 0 in the spirit of D.H. Hyers, S.M. Ulam, Th.M. Rassias and P. Gǎvruta.


Kyungpook Mathematical Journal | 2008

On the Hyers-Ulam-Rassias Stability of the Bi-Jensen Functional Equation

Kil-Woung Jun; Mi-Hyen Han; Yang-Hi Lee

In this paper, we obtain the Hyers–Ulam–Rassias stability of a bi-Pexider functional equation


Journal of Inequalities and Applications | 2008

On the Stability of a New Pexider-Type Functional Equation

Kil-Woung Jun; Yang-Hi Lee; Juri Lee

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Hark-Mahn Kim

Chungnam National University

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Yang-Hi Lee

Kongju National University

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Jae-Hyeong Bae

Chungnam National University

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Eunyoung Son

Chungnam National University

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Sang-Han Lee

Chungbuk Provincial College

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Juri Lee

Chungnam National University

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Jiae Son

Chungnam National University

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Yong-Soo Jung

Chungnam National University

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John Michael Rassias

National and Kapodistrian University of Athens

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Eun Young Son

Chungnam National University

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