http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
ON THE SUPERSTABILITY OF THE PEXIDER TYPE SINE FUNCTIONAL EQUATION
Gwang Hui Kim 충청수학회 2012 충청수학회지 Vol.25 No.1
The aim of this paper is to investigate the superstabil-ity of the pexider type sine(hyperbolic sine) functional equation f(x + y)2 - (x + ¾y)2 2 2 = ¸g(x)h(y); ¸ : constant which is bounded by the unknown functions (x) or (y). As a consequence, we have generalized the stability results for the sine functional equation by P. M. Cholewa, R. Badora, R. Ger, and G. H. Kim.
SUPERSTABILITY OF THE GENERALIZED PEXIDER TYPE EXPONENTIAL EQUATION IN ABELIAN GROUP
Kim, Gwang Hui The Kangwon-Kyungki Mathematical Society 2012 한국수학논문집 Vol.20 No.2
In this paper, we will prove the superstability of the following generalized Pexider type exponential equation $${f(x+y)}^m=g(x)h(y)$$, where $f,g,h\;:\;G{\rightarrow}\mathbb{R}$ are unknown mappings and $m$ is a fixed positive integer. Here G is an Abelian group (G, +), and $\mathbb{R}$ the set of real numbers. Also we will extend the obtained results to the Banach algebra. The obtained results are generalizations of P. G$\check{a}$vruta's result in 1994 and G. H. Kim's results in 2011.
THE STABILITY OF PEXIDERIZED COSINE FUNCTIONAL EQUATIONS
Kim, Gwang Hui The Kangwon-Kyungki Mathematical Society 2008 한국수학논문집 Vol.16 No.1
In this paper, we investigate the superstability problem for the pexiderized cosine functional equations f(x+y) +f(x?y) = 2g(x)h(y), f(x + y) + g(x ? y) = 2f(x)g(y), f(x + y) + g(x ? y) = 2g(x)f(y). Consequently, we have generalized the results of stability for the cosine($d^{\prime}Alembert$) and the Wilson functional equations by J. Baker, $P.\;G{\check{a}}vruta$, R. Badora and R. Ger, and G.H. Kim.
일개 농촌지역 초등학교 교사와 초등학교 6학년 학생의 양성평등의식
강혜영,허광희,김유미 韓國學校保健學會 2004 韓國學校保健學會誌 Vol.17 No.2
Purpose: The purpose of this preliminary study was to investigate gender equality consciousness among elementary school teachers and the 6th graders at a rural area in Korea. Methods: There were 78 teachers and 323 6th graders from five elementary schools in Y area in Jeonnam province. The data was collected with a structured self-reported questionnaire from June to July 2003. The instrument, which was developed by Korean Women Development Institute to test gender equality consciousness, was composed of 20-items (Cronbach's α = .87 in teachr group; Cronbach's α = .83 in children group) with four subcategories: family life, school life, business life, and social life. The data was analyzed by a one-way ANOVA and t-test using SPSS/PC+. Results: 1. Teachers' gender equality consciousness: The teachers' gender equality consciousness was significantly more affirmative in females (t = 5.313, p = .001) and in the younger teacher group (F = 24.710, p = .001). On the other hand, there was no significant difference according to marital status. The differences in all four subcategories were also significantly affirmative in the female and younger teacher group. 2. Students' gender equality consciousness: The gender equality consciousness among the 6th graders was somewhat different from the teachers'. School girls (t = 8.988, p = .001) and children from double income families (t = 3.171, p = .042) were more affirmative in gender equality consciousness than the other groups. In the four sub-categories, school girls were also significantly more affirmative in all four subcategories. On the other hand, according to the family income source, the children from double income families also tended to be more affirmative only in the subcategory of family life (t = 3.196, p = .042) Conclusions: Gender equality consciousness is remarkably different according to gender both in Korean elementary school teachers and in school children. Age was a key variable in teachers for gender equality consciousness. Further research in gender equality consciousness of parents, school principals and urban school population would be useful. In order to promote gender equality consciousness, various educational materials and a mass education campaign should be developed.
MODIFIED HYERS-ULAM-RASSIAS STABILITY OF FUNCTIONAL EQUATIONS WITH SQUARE-SYMMETRIC OPERATION
Kim, Gwang-Hui,Lee, Young-Whan,Ji, Kyoung-Shin Korean Mathematical Society 2001 대한수학회논문집 Vol.16 No.2
In this paper, we obtain the modified Hyers-Ulam-Rassias stability for the family of the functional equation f(x o y) = H(f(x)(sup)1/t, f(y)(sup)1/t)(x,y) $\in$S), where H is a s homogeneous function of degree t and o is a square-symmetric operation on the set S.
ON THE STABILITY OF FUNCTIONAL EQUATIONS IN n-VARIABLES AND ITS APPLICATIONS
KIM, GWANG-HUI Korean Mathematical Society 2005 대한수학회논문집 Vol.20 No.2
In this paper we investigate a generalization of the Hyers-Ulam-Rassias stability for a functional equation of the form $f(\varphi(X))\;=\;\phi(X)f(X)$, where X lie in n-variables. As a consequence, we obtain a stability result in the sense of Hyers, Ulam, Rassias, and Gavruta for many other equations such as the gamma, beta, Schroder, iterative, and G-function type's equations.