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Optimal Sequential Tests which minimize the Average Sample Size
SUNG LAI KIM 충청수학회 1990 충청수학회지 Vol.3 No.1
For testing a hypothesis H : (θ = θ1, vs A : θ = θ2 (θ1 < θ2), we obtain a truncated sequential bayes procedure which minimizes the average sample isize between θ1 and θ2.
PROPERTIES OF NOETHERIAN QUOTIENTS IN R-GROUPS
Cho, Yong Uk 충청수학회 2007 충청수학회지 Vol.20 No.2
In this paper, we will introduce the noetherian quotients in R-groups, and then investigate the related substructures of the near-ring R and G and the R-group G. Also, applying the annihilator concept in R-groups and d.g. near-rings, we will survey some properties of the substructures of R and G in monogenic R-groups and faithful R-groups.
CAUCHY-RASSIAS STABILITY OF DERIVATIONS ON QUASI-BANACH ALGEBRAS
An, Jong Su,Boo, Deok-Hoon,Park, Choonkil 충청수학회 2007 충청수학회지 Vol.20 No.2
In this paper, we prove the Cauchy-Rassias stability of derivations on quasi-Banach algebras associated to the Cauchy functional equation and the Jensen functional equation. We use the Cauchy-Rassias inequality that was first introduced by Th. M. Rassias in the paper "On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc. 72 (1978), 297-300".
ON THE HYERS-ULAM-RASSIAS STABILITY OF A CAUCHY-JENSEN FUNCTIONAL EQUATION
Lee, Yang-Hi 충청수학회 2007 충청수학회지 Vol.20 No.2
In this paper, we prove the Hyers-Ulam-Rassias stability of a Cauchy-Jensen functional equation $$2f(x+y,\frac{z+w}{2})=f(x,z)+f(x,w)+f(y,z)+f(y,w)$$.
EQUIVARIANT EMBEDDING OF TWO-TORUS INTO SYMPLECTIC MANIFOLD
Kim, Min Kyu 충청수학회 2007 충청수학회지 Vol.20 No.2
We show that there is an equivariant symplectic embedding of a two-torus with a nontrivial action into a symplectic manifold with a symplectic circle action if and only if the circle action on the manifold is non-Hamiltonian. This is a new equivalent condition for non-Hamiltonian action and gives us a new insight to solve the famous conjecture by Frankel and McDuff.
EXTREMAL LENGTH AND GEOMETRIC INEQUALITIES
Chung, Bohyun 충청수학회 2007 충청수학회지 Vol.20 No.2
We introduce the extremal length and examine its properties. And we consider the geometric applications of extremal length to the boundary behavior of analytic functions, conformal mappings. We derive the theorem in connection with the capacity. This theorem applies the extremal length to the analytic function defined on the domain with a number of holes. And we obtain the theorems in connection with the pure geometric problems.
ON STRONG C-INTEGRAL OF BANACH-VALUED FUNCTIONS
Zhao, Dafang,Ye, Guoju 충청수학회 2007 충청수학회지 Vol.20 No.1
In this paper, we define and study the Banach-valued C-integral and strong C-integral, We prove that the C-integral and the strong C-integral are equivalent if and only if the Banach space is finite dimensional. We also study the primitive of the strong C-integral in terms of the C-variational measures.
GENERALIZED CUBIC MAPPINGS OF r-TYPE IN SEVERAL VARIABLES
Kang, Dong Seung 충청수학회 2007 충청수학회지 Vol.20 No.1
Let X, Y be vector spaces. In this paper, we investigate the generalized Hyers-Ulam-Rassias stability problem for a cubic function $f:X{\rightarrow}Y$ satisfies $$r^3f(\frac{\Sigma_{j=1}^{n-1}x_j+2x_n}{r})+r^3f(\frac{\Sigma_{j=1}^{n-1}x_j-2x_n}{r})+8\sum_{j=1}^{n-1}f(x_j)=2f{\sum_{j=1}^{n-1}}x_j)+4{\sum_{j=1}^{n-1}}(f(x_j+x_n)+f(x_j-x_n))$$ for all $x_1,{\cdots},x_n{\in}X$.
ORTHOGONAL GROUP OF CERTAIN INDEFINITE LATTICE
Kim, Chang Heon 충청수학회 2007 충청수학회지 Vol.20 No.1
We compute the special orthogonal group of certain lattice of signature (2, 1).
CHARACTERIZATIONS OF THE PARETO DISTRIBUTION BY THE INDEPENDENCE OF RECORD VALUES
Chang, Se-Kyung 충청수학회 2007 충청수학회지 Vol.20 No.1
In this paper, we establish characterizations of the Pareto distribution by the independence of record values. We prove that $X{\in}PAR(1,{\beta})$ for ${\beta}$ > 0, if and only if $\frac{X_{U(n)}}{X_{U(n)}-X_{U(n+1)}}$ and $X_{U(n)}$ are independent for $n{\geq}1$. And we show that $X{\in}PAR(1,{\beta})$ for ${\beta}$ > 0, if and only if $\frac{X_{U(n)}-X_{U(n+1)}}{X_{U(n)}}$ and $X_{U(n)}$ are independent for $n{\geq}1$.