• 한국수학교육학회지시리즈B:순수및응용수학
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• 제23권3호
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• pp.287-307
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• 2016

Using the fixed point method, we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in matrix fuzzy normed spaces.

• Journal of applied mathematics & informatics
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• 제41권4호
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• pp.801-810
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• 2023

The aim of this paper, investigated of weighted space which contained the unbounded functions which is to be approximated by linear operators in terms some Well-known approximation tools such as the modulus of smoothness and K-functional. The characteristics of the identical theorem between modulus of smoothness and K-functional are consider. In addition to the establish the direct, converse and identical theorem by using some linear operators in terms modulus Ditzian-Totik.

• 대한수학회논문집
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• 제31권4호
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• pp.819-825
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• 2016

In this paper, we establish approximation of bi-quadratic functional equations in Lipschitz spaces.

• Journal of applied mathematics & informatics
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• 제34권5_6호
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• pp.509-517
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• 2016

In this paper, we consider the following functional equation with involution f(x + y) + f(x + σ(y)) = 2f(x) + f(y) + f(σ(y)) and prove the generalized Hyers-Ulam stability for it when the target space is a non-Archimedean Banach space.

• 한국실내디자인학회:학술대회논문집
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• 한국실내디자인학회 1999년도 춘계학술발표대회 논문집
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• pp.145-148
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• 1999

The contemporary society needs complex space for multiple function. Interior space plan should suggest the solution of the narrow site and process for multiple function through showing the examples of other functional spaces. The purpose of this study is choosing an express station which has wide site and cultural exchange function, while it is not used for specific function and then the waiting room of station adapted for cultural and multiple functional space.

• 의료ㆍ복지 건축 : 한국의료복지건축학회 논문집
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• 제11권3호
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• pp.75-85
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• 2005

Recently the number of women's hospitals of a small scale are increasing in seoul and the other cities although the surroundings of these sites are so inferior. Those hospitals need the space of comfort as like family home. This study suggests that the encirclement space is one of the design methods to make comfort to patients. The encirclement is the form of hugging a baby to a mother's arms. Analysing six woman hospitals, encirclement space is categorized about the six types of square, open square, right-angled, linear, dispersed, etc. The characteristics of "right-angled" is featured as the form of L, and "square" type is characterized as the relationship of functional circulation among doctors, nurses and patients. And all types are organized as the relationship between the encirclement space and the enclosed space about how the functional space and the comfort space are made up. The properties of encirclement space are appeared by the interactions about function, circulation, sight, form, access, recognition through transparent, three-dimensional experience, etc. Encirclement space is recommended as a vital factor to make comfort space for designing women's hospital in city.

• 가정과삶의질연구
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• 제22권4호
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• pp.105-113
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• 2004

The purpose of this study is to grasp the application tendency of interior accessories in Korean residential spaces. The main resources were selected documents and articles with pictures published 27 years, from 1976 to 2002, in Modern House, which is the first magazine for the residential space in Korea. The major findings are summarized as follows: 1) Interior accessories were investigated more for functional reasons than decorative reasons. Despite the belief that interior accessories are Primarily for decoration purposes, this study proves that the functional elements are more important as part of the Korean interior. 2) The kind and the amount of interior accessories applied in residential space were decreasing in most accessories as well as in master bedroom, and living rooms from 1994 to 2002. 3) The number of application to Korean traditional accessories in residential space decreases as time goes by. Although they were used as functional accessories as the role of antiques in present.

• East Asian mathematical journal
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• 제32권3호
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• pp.413-423
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• 2016

In this paper, we consider the functional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0 and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation is to split the cases according to whether the involving mappings are odd or even. In this paper, we show that the stability of a quadratic-cubic mapping can be obtained without distinguishing the two cases.

• Kyungpook Mathematical Journal
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• 제47권1호
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• pp.69-76
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• 2007

Let $f$ denote a mapping from an orthogonality space ($\mathcal{X}$, ${\bot}$) into a real Banach space $\mathcal{Y}$. In this paper, we prove the Hyers-Ulam-Rassias stability of the orthogonally cubic functional equations $f(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)$ and $f(x+y+2z)+f(x+y-2z)+f(2x)+f(2y)=2f(x+y)+4f(x+z)+4f(x-z)+4f(y+z)+4f(y-z)$, where $x{\bot}y$, $y{\bot}z$, $x{\bot}z$.

• 대한수학회논문집
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• 제23권1호
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• pp.133-140
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• 2008

Let {${\xi}_k,\;k\;{\in}\;{\mathbb{Z}}$} be a strictly stationary associated sequence of H-valued random variables with $E{\xi}_k\;=\;0$ and $E{\parallel}{\xi}_k{\parallel}^2\;<\;{\infty}$ and {$a_k,\;k\;{\in}\;{\mathbb{Z}}$} a sequence of linear operators such that ${\sum}_{j=-{\infty}}^{\infty}\;{\parallel}a_j{\parallel}_{L(H)}\;<\;{\infty}$. For a linear process $X_k\;=\;{\sum}_{j=-{\infty}}^{\infty}\;a_j{\xi}_{k-j}$ we derive that {$X_k} fulfills the functional central limit theorem.