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- 발행기관 : 충청수학회 (검색결과 2,507 건)
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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.
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LINEAR ��-DERIVATIONS ON JB<SUP>*</SUP>-TRIPLES
Bak, Chunkil 충청수학회 2006 충청수학회지 Vol.19 No.1
In [1], the concept of generalized (${\theta}$, ${\phi}$)-derivations on rings was introduced. We introduce the concept of linear ${\theta}$-derivations on $JB^*$-triples, and prove the Cauchy-Rassias stability of linear ${\theta}$-derivations on $JB^*$-triples.
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CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES
Chang, Se-Kyung,Lee, Min-Young 충청수학회 2006 충청수학회지 Vol.19 No.4
This paper presents characterizations based on the identical distribution and the finite moments of the exponential distribution by record values. We prove that $X{\in}EXP({\sigma})$, ${\sigma}$>0, if and only if $X_{U(n+k)}-X_{U(n)}$ and $X_{U(n)}-X_{U(n-k)}$ for n > 1 and $k{\geq}1$ are identically distributed. Also, we show that $X{\in}EXP({\sigma})$, ${\sigma}$>0, if and only if $E(X_{U(n+k)}-X_{U(n)})=E(X_{U(n)}-X_{U(n-k)})$ for n>1 and $k{\geq}1$.
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ON GENERAL BEST PROXIMITY PAIRS AND EQUILIBRIUM PAIRS IN FREE GENERALIZED GAMES
Kim, Won Kyu 충청수학회 2006 충청수학회지 Vol.19 No.1
In this paper, using the fixed point theorem for acyclic factorizable multifunctions, we shall prove an existence theorem of general best proximity pairs and equilibrium pairs for free generalized games.
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ON AP-HENSTOCK-STIELTJES INTEGRAL
Zhao, Dafang,Ye, Guoju 충청수학회 2006 충청수학회지 Vol.19 No.2
In this paper, we define and study the vector-valued ap-Henstock-Stieltjes integral, we prove the Cauchy extension theorem and the dominated convergence theorems for the ap-Henstock-Stieltjes integral.
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ON UNIFORM CONVERGENCE THEOREMS FOR THE INTERIOR INTEGRAL
Rim, Dong-Il,Kim, Yung-Jinn 충청수학회 2006 충청수학회지 Vol.19 No.4
In this paper, we introduce interior integral and prove uniform convergence theorems for the interior integral.
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MAPPINGS RELATED TO MINIMAL SURFACES
Jun, Sook Heui 충청수학회 2006 충청수학회지 Vol.19 No.4
In this paper, we study harmonic mappings related to the nonparametric minimal surfaces that lie over the upper halfplane.
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REDEI MATRIX IN FUNCTION FIELDS
Jung, Hwanyup 충청수학회 2006 충청수학회지 Vol.19 No.4
Let K be a finite cyclic extension of $k=\mathbb{F}_q(T)$ of prime degree ${\ell}$. Let ${\tilde{\mathcal{C}}}l_{K,{\ell}}$ be the Sylow ${\ell}$-subgroup of the ideal class group ${\tilde{\mathcal{C}}}l_K$ of $\mathcal{O}_K$. The structure of ${\tilde{\mathcal{C}}}l_{K,{\ell}}$ as $\mathbb{Z}_{\ell}[G]$/<$N_G$>-module is determined the dimensions $${\lambda}_i\;:=dim_{\mathbb{F}_{\ell}}({\tilde{\mathcal{C}}}l_{K,{\ell}}^{({\sigma}-1)^{i-1}}/{\tilde{\mathcal{C}}}l_{K,{\ell}}^{({\sigma}-1)^i})$$ for $i{\geq}1$. In this paper we investigate the dimensions ${\lambda}_1$ and ${\lambda}_2$.
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ON EQUIVALENT NORMS TO BLOCH NORM IN ℂ<SUP>n</SUP>
Choi, Ki Seong 충청수학회 2006 충청수학회지 Vol.19 No.4
For $f{\in}L^2(B,d{\nu})$, ${\parallel}f{\parallel}_{BMO}=\widetilde{{\mid}f{\mid}^2}(z)-{\mid}{\tilde{f}}(z){\mid}^2$. For f continuous on B, ${\parallel}f{\parallel}_{BO}=sup\{w(f)(z):z{\in}B\}$ where $w(f)(z)=sup\{{\mid}f(z)-f(w){\mid}:{\beta}(z,w){\leq}1\}$. In this paper, we will show that if $f{\in}BMO$, then ${\parallel}f{\parallel}_{BO}{\leq}M{\parallel}f{\parallel}_{BMO}$. We will also show that if $f{\in}BO$, then ${\parallel}f{\parallel}_{BMO}{\leq}M{\parallel}f{\parallel}_{BO}^2$. A homomorphic function $f:B{\rightarrow}{\mathbb{C}}$ is called a Bloch function ($f{\in}{\mathcal{B}}$) if ${\parallel}f{\parallel}_{\mathcal{B}}=sup_{z{\in}B}\;Qf(z)$<${\infty}$. In this paper, we will show that if $f{\in}{\mathcal{B}}$, then ${\parallel}f{\parallel}_{BO}{\leq}{\parallel}f{\parallel}_{\mathcal{B}}$. We will also show that if $f{\in}BMO$ and f is holomorphic, then ${\parallel}f{\parallel}_{\mathcal{B}}^2{\leq}M{\parallel}f{\parallel}_{BMO}$.
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