• 한국통신학회논문지
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• 제35권6C호
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• pp.547-553
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• 2010

In this paper, novel approximated closed-form expressions of the SER(Symbol Error Rate) and BER(Bit Error Rate) are presented for the multi-input multi-output space-time block coding(MIMO-STBC) system employing two transmit and N receive antenna(s) in Rayleigh fading channels. Assuming a zero-forcing equalizer and a single-symbol maximum-likelihood (ML) decoder, the formulas are derived for the SER and BER, and then their approximated counterparts are also derived. In the derivation of the approximated expressions, acurve-fitting model is adopted that can eliminate the integral operators in the exact expressions.

• 한국철도학회:학술대회논문집
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• 한국철도학회 2008년도 춘계학술대회 논문집
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• pp.1511-1517
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• 2008

In January, 2005, "railroad security law" was presented, preparing the systematic equipment that allows several railroad operators to consider the railroad security issue, and each of railroad operative institutions accepted such situation that construct the integral railroad security system, resulting in constructing the emergent system coping with the railroad fire accident through the relevant study business to improve the railroad security efficiency against fire. This study tried to present the studying direction on developing the emergent educational program coping with the railroad fire accident, which is distributed to the spot, about the railroad worker for improving the railroad security efficiency against fire through the education of systematic and efficient emergent countermeasure procedure of emergent system against the railroad fire accident.

• 호남수학학술지
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• 제38권4호
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• pp.739-752
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• 2016

The main aim of this paper is to introduce an extension of the generalized ${\tau}$-Gauss hypergeometric function $_rF^{\tau}_s(z)$ and investigate various properties of the new function such as integral representations, derivative formulas, Laplace transform, Mellin trans-form and fractional calculus operators. Some of the interesting special cases of our main results have been discussed.

• 대한수학회지
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• 제42권3호
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• pp.405-434
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• 2005

We establish appropriate $L^p$ estimates for a class of maximal operators $S_{\Omega}^{(\gamma)}$ on the product space $R^n\;\times\;R^m\;when\;\Omega$ lacks regularity and $1\;\le\;\gamma\;\le\;2.\;Also,\;when\;\gamma\;=\;2$, we prove the $L^p\;(2\;{\le}\;P\;<\;\infty)\;boundedness\;of\;S_{\Omega}^{(\gamma)}\;whenever\;\Omega$ is a function in a certain block space $B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ (for some q > 1). Moreover, we show that the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is nearly optimal in the sense that the operator $S_{\Omega}^{(2)}$ may fail to be bounded on $L^2$ if the condition $\Omega\;{\in}\;B_q^{(0,0)}(S^{n-1}\;\times\;S^{m-1})$ is replaced by the weaker conditions $\Omega\;{\in}\;B_q^{(0,\varepsilon)}(S^{n-1}\;\times\;S^{m-1})\;for\;any\;-1\;<\;\varepsilon\;<\;0.$

• Kyungpook Mathematical Journal
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• 제59권2호
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• pp.301-314
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• 2019

The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.

• Journal of Applied and Pure Mathematics
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• 제5권1_2호
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• pp.95-108
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• 2023

The Hadamard type inequalities for fractional integral operators of convex functions are studied at very large scale. This paper provides the Hadamard type inequalities for refined (α,h-m)-convex functions by utilizing Liouville-Caputo fractional (L-CF) derivatives. These inequalities give refinements of already existing (L-CF) inequalities of Hadamard type for many well known classes of functions provided the function h is bounded above by ${\frac{1}{\sqrt{2}}}$.

• Journal of Applied and Pure Mathematics
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• 제4권1_2호
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• pp.9-26
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• 2022

The purpose of this work is to study the existence and continuous dependence on neutral stochastic partial integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion with Hurst parameter $H{\in}({\frac{1}{2}},\;1)$. We use the theory of resolvent operators developed in Grimmer [19] to show the existence of mild solutions. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results.

• 한국인터넷방송통신학회논문지
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• 제9권2호
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• pp.7-12
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• 2009

퍼지 형태학적 형상 분해를 이용한 얼굴인증 과정에서 퍼지척도를 기반으로 한 특징추출 방법을 제안하였다. 형태소에 관계하는 영상정보와 퍼지척도를 기반으로 한 가중치에 대하여 무게중심을 이용하여 인접정보가 고려되었다. 이에 의한 형태학적 침식과 팽창연산자를 정의하여 얼굴영역의 특징점 추출시 기존의 방법보다 4배 이상의 많은 분해영상을 얻을 수 있었다. 결국 특징 벡터를 이용하여 얼굴인증을 수행한 실험결과 기존의 형상분해에 의한 방법보다 특징점 추출과 임계값의 안정성을 확보하여 인식 결과에서 비교우위를 가질 수 있었다.

• 호남수학학술지
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• 제16권1호
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• pp.119-135
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• 1994

Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

• 대한전자공학회논문지
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• 제25권10호
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• pp.1244-1251
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• 1988

영상에서 명암도의 변화가 큰 영역을 경계선이라 하며 이는 영상을 분류하고 해석하는 가장 기본적인 특징 중의 하나이다. 본 논문에서는 central moments에 의한 새로운 경계선 검출 방법을 제안하였다. 제안된 방법은 서로 다르게 정의된 확률변수 및 확률밀도함수와 moment의 차수에 따라 여러 가지 특성을 가진 경계선을 검출하였다. 또한 미분이 아닌 창내의 명암도의 평균과 각 화소와의 차를 적분한 연산자로서 기존의 연산자보다 잡음에 우수하며 가늘고 섬세한 경계선을 검출하였다.