• 한국산학기술학회논문지
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• 제16권8호
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• pp.5260-5266
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• 2015

무기체계 개발 시 종합군수지원 측면에서 중요한 것 중 하나가 동시조달수리부속 산출이다. 동시조달수리부속은 무기체계 가용도 향상 측면에서 매우 중요한 것으로, 이에 대한 다양한 연구가 이루어지고 있다. 그러나 대부분의 연구는 하부 구성품의 고장이 무기체계의 다양한 기능에 미치는 세부 영향들을 고려하지 못하고 있다. 즉 하부 구성품의 고장이 무기체계의 특정 기능에 미치는 영향이 미비하면, 구성품 교환과 같은 정비가 필요 없다는 점을 고려하지 못한다. 그래서 본 연구에서는 고장-기능 간 관계도를 이용하여, 하부 구성품의 고장이 무기체계의 다양한 기능에 미치는 세부 영향을 고려한 동시조달수리부속 산출 방법을 기술하였다. 본 연구 절차는 다음과 같다. 첫째, 무기체계의 운용 및 정비 시스템을 분석한다. 둘째, 고장-기능 간 관계도를 개발한다. 셋째, 수집된 자료를 바탕으로 시뮬레이션 모델을 설계 한다. 마지막으로, 시뮬레이션과 메타 휴리스틱 모형인 진화 전략을 통해 동시조달수리부속 최적 수량을 선정한다. 해당 연구는 동시조달수리부속 산출 연구에 새로운 방향을 제시하였다.

• Korean Journal of Mathematics
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• 제30권3호
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• pp.459-465
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• 2022

We exhibit various properties of the weighted Berezin operator T_α and its iteration T^k_α on L^p(𝜏), where α > -1 and 𝜏 is the invariant measure on the complex unit ball B_n. Iterations of T_α on L¹_R(𝜏) the space of radial integrable functions have performed important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. We show differences between the case of 1 < p < ∞ and p = 1, ∞ under the infinite iteration of T_α or the infinite summation of iterations, most of which are extensions or related assertions to the propositions of the previous results.

• Journal of applied mathematics & informatics
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• 제41권5호
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• pp.1057-1069
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• 2023

In this paper, we have determined the degree of approximation of function belonging of Lipschitz class by using Deferred-Generalized Nörlund (D^𝛾_𝛽.N_pq) means of Fourier series and conjugate series of Fourier series, where {p_n} and {q_n} is a non-increasing sequence. So that results of DEGER and BAYINDIR [23] become special cases of our results.

• 대한수학회보
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• 제50권6호
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• pp.1915-1922
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• 2013

We prove the admissibility of the space $L_0(\mathcal{A},X)$ of vector-valued measurable functions determined by real-valued finitely additive set functions defined on algebras of sets.

• Journal of applied mathematics & informatics
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• 제35권1_2호
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• pp.205-215
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• 2017

In this paper, we consider a modified Euler polynomials ${\tilde{E}}_{n,q}(x)$ with variable $[x]_q$ and investigate some interesting properties of the Euler polynomials. We also give some relationships between the modified Euler polynomials and their Hurwitz zeta function. Finally, we derive some identities associated with Bernstein polynomials.

• Kyungpook Mathematical Journal
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• 제45권4호
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• pp.491-502
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• 2005

The main purpose of this paper is to extend the exponentially convex functions which are defined and exponentially convex on a cylinderical neighborhood in the Heisenberg group. They are expanded in terms of an integral transform associated to the sub-Laplacian operator. Extension of such functions on abelian Lie group are studied in [15].

• 대한수학회논문집
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• 제21권2호
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• pp.363-374
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• 2006

A new bivariate beta distribution based on the Appell function of the third kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and conditional moments. The method of maximum likelihood is used to derive the associated estimation procedure as well as the Fisher information matrix.

• 대한수학회지
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• 제44권2호
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• pp.343-371
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• 2007

We find the super-replication formulae which would be a generalization of replication formulae. And we apply the formulae to derive periodically vanishing property in the Fourier coefficients of the Hauptmodul $\aleph(j_{1,N})$ as a super-replicable function.

• 충청수학회지
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• 제24권3호
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• pp.529-531
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• 2011

We show that for all $N{\geq}1$, the modular function field $K(X_0^+(N))$ is generated by j(z)j(Nz) and j(z) + j(Nz) over ${\mathbb{C}}$, where j(z) is the modular invariant. Moreover we derive the defining equation of the the modular function field $K(X_0^+(N))$ from the classical modular polynomial ${\Phi}_N(X, Y )$.

• Kyungpook Mathematical Journal
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• 제58권4호
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• pp.615-625
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• 2018

In this paper, we discuss the connection between the 5-dimensional complex Lie algebra ${\mathcal{K}} _5$ and Special functions. We construct certain two variable models of the irreducible representations of ${\mathcal{K}}_5$. We also use an Euler type integral transformation to obtain the new transformed models, in which the basis function appears as $_2F_1$. Further, we utilize these models to get some generating functions and recurrence relations.