• Korean Journal of Mathematics
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• 제27권2호
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• pp.279-295
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• 2019

In this paper, using local fractional integrals on fractal sets $R^{\alpha}(0<{\alpha}{\leq}1)$ of real line numbers, we establish new some inequalities of Simpson's type based on generalized convexity.

• East Asian mathematical journal
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• 제5권1호
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• pp.57-67
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• 1989

We introduce a class $L_{\sigma}*({\alpha},{\beta},{\gamma})$ of functions defined by $f*S_{\sigma}(z)$ of f(z) and $S_{\sigma}(z)=z/(1-z)^{2(1-{\sigma})}$. The present paper is to determine extreme point, coefficient inequalities., distortion Theorem and radius of starlikeness and convexity for functions in $L_{\sigma}*({\alpha},{\beta},{\gamma})$. And we give fractional calculus.

• 한국컴퓨터정보학회논문지
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• 제12권5호
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• pp.273-284
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• 2007

본 논문은 재구성가능생산시스템 환경에서 e-MarketPlace를 통한 거래상황을 도입한 주기적 검토 재고모형을 연구한다. 의사결정권자는 고객의 확률적 수요를 만족시키기 위해서 생산용량/생산량을 확장/축소하거나 e-Marketplace를 통해 긴급으로 재고를 보충/처리한다. e-MarketPlace로부터의 거래 시 재고의 보충/처리에 걸리는 리드타임은 시스템의 생산리드타임보다 짧지만, 단위거래비용(구매/판매비용)은 생산용량/생산량을 한 단위 확장/축소하는 비용보다 높기 때문에 각 대안들의 비용-리드타임간의 trade-off가 고려된다. 추가적으로 e-MarketPlace로부터 재고를 보충하거나 생산용량을 확장하는 경우 그 수량에 따른 규모의 경제를 고려하기 위해 고정 비용이 포함된다. 우리는 제안되는 모형의 최적 정책형태를 규정하기 위해 동적계획모형과 K-convexity 기법을 적용하고, base stock policy와 (s,S) type policy의 조합으로 구성된 최적 생산-재고관리 정책을 제시한다.

• Archives of Plastic Surgery
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• 제34권1호
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• pp.123-127
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• 2007

Purpose: Rigid external distraction(RED) is a highly effective technique for correction of maxillary hypoplasia in patients with cleft or syndromic craniosynostosis. Despite many advantages of RED, it also has the problem of relapse as the conventional advancement surgery. Bicoronal approach, that is the common approach to gain access to the craniofacial skeleton, had some morbidity, such as hair loss, sensory loss, wide scar and temporal hollowing. We present our clinical experience of RED distraction with minimal invasive approach and early rigid fixation to overcome these disadvantages. Methods: A 27-year-old female patient with Crouzon's disease underwent Le Fort III osteotomy and RED device application through the minimal invasive direct skin incisions. After the latent period of 5 days, distraction was undertaken until proper convexity and advancement were obtained. During the rigid retention period, inflammation occurred on the right cheek, and proper conservative managements were done including continuous irrigation. To maintain the stability of distraction, early rigid fixation was undertaken on the osteotomy sites through another skin incisions. Preoperative and postoperative orthodontic treatments were performed. Serial photographs and cephalometric radiographs were obtained preoperatively, after distraction and 6 months after distraction. Results: The cephalometric analysis demonstrated postoperatively significant advancement of the maxilla and improvement of facial convexity. After 6-month follow-up period, the maxilla was stable in the sagittal plane and no relapse was found. Facial scars were not noticeable and other deformity and morbidity did not occur. Conclusion: This effective and stable technique will be a good alternative for the patients who need large amount of distraction and for adult patients with severe maxillary hypoplasia or syndromic craniosynostosis.

• 호남수학학술지
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• 제26권1호
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• pp.77-83
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• 2004

A class of topological algebras, which we call it a fundamental one, has already been introduced generalizing the famous Cohen factorization theorem to more general topological algebras. To prove the generalized versions of Cohen's theorem to locally multilplicatively convex algebras, and finally to fundamental topological algebras, the completness of the background spaces is one of the main conditions. The local convexity of the completion of a locally convex space is a well known fact and here we have a discussion on the completness of fundamental metrizable topological vector spaces.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2003년도 추계 학술대회논문집
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• pp.31-36
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• 2003

A field reconstruction scheme for a cell centered finite volume method on unstructured meshes is developed. Regardless of mesh quality, this method is exact within a machine accuracy if the solution is linear, which means it has full second order accuracy. It does not have any limitation on cell shape except convexity of the cells and recovers standard discretization stencils at structured orthogonal grids. Accuracy comparisons with other popular reconstruction schemes are performed on a simple example.

• 호남수학학술지
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• 제43권4호
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• pp.627-639
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• 2021

Numerical techniques are used to determine the radius of convexity of the starlike functions related to cardioid shaped bounded domain. In addition, radius constants of certain starlikeness associated with right half plane of various starlike functions are computed.

• Nonlinear Functional Analysis and Applications
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• 제29권1호
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• pp.47-56
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• 2024

It is well known that inequalities enable us to analyze and solve complex problems with precision and efficiency. The inequalities provide powerful tools for establishing bounds, optimizing solutions, and deepening our understanding of mathematical concepts, paving the way for advancements in areas such as optimization, analysis, and probability theory. In this paper, we present some properties for Hadamard-Simpsons type inequalities in the classic integral and Riemann-Liouville fractional integral. We use the convexity of the given function and its first derivative.

• Journal of Korean Neurosurgical Society
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• 제30권11호
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• pp.1263-1270
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• 2001

Objective : To analyze the radiosurgical results of intracranial meningiomas after Gamma Knife radiosurgery (GKS) and to assess the possible factors related to the outcome and complications in treating meningiomas. Patients and Methods : We retrospectively reviewed the clinical and radiological data in 179 patients(194 lesions) treated with GKS for intracranial meningiomas between May 1992 and October 2000. Radiosurgical responses were categorized as shrinkage, stasis and enlargement, and we defined the shrunken and static group as a radio-logical control. A Cox proportional hazards model was used to evaluate the correlation between the radiosurgical outcomes and various factors such as location and size of tumor, age and gender of patients, relation to venous sinus, pre-GKS degree of edema, treatment modality, radiosurgical parameters, and pathologic findings. Results : Patients were grouped into skull base meningiomas(57.7%), non-skull base tumor including convexity, parasagittal, and falx meningiomas(37.1%), and others(5.2%) according to the location of tumors. The mean maximum dose and the margin dose of tumor was 30.0Gy(19-45Gy) and 15.1Gy(9.5-24.5Gy), respectively. The mean volume of the tumors was 9.4cc(0.003-45.0cc). The radiologic control rate was 97.1%. The radiation induced imaging change with or without neurologic deficit was the most common complication(23.6%). There were seen mostly in convexity, parasagittal, and falx meningiomas which were deeply embedded in cortex. Conclusion : GKS for intracranial meningioma seems to be safe and effective treatments. However, GKS should be considered very cautiously in non-skull base tumor such as convexity, parasagittal, or falx meningiomas with regards to patient's age and general condition, size and location of tumor, pattern of embedding into cortex, presenting symptoms and patient's preference.

• 대한공간정보학회지
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• 제3권1호
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• pp.91-104
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• 1995

교통 및 기타 공간계획 과정에 있어서 분석을 위한 공간분할은 필수적이다. 공간 분할에 있어서 두 가지의 중요한 변수는 scale과 aggregation이라고 할 수 있는바 이들 2가지의 조합에 따라서 분할된 공간상의 계획결과물은 실로 엄청난 차이를 보일 때도 있다. 본고에서는 이들 공간 zone 분항 및 재구성 체계의 과정 및 결정기법을 살펴 보는데 우선 목적이 있고, 또한 vector형 GIS의 위상관계자료를 이용한 교통 zone체계의 재설정 방법을 제시해 봄으로써 경직된 교통계획상의 zone체계 구성에의 변화를 창출해 보았다. 시범연구로서는 남한을 132개의 세부 zone으로 구분한 뒤 사회경제적 지표에 의한 동질적인 zone체계를 구축하여 교통계획에 응용하였으나 애초에 macro된 세부 zone체계를 사용한 나머지 aggregate된 zone이 concave한 문제점 또한 발견되었다.