• 대한수학회지
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• 제49권6호
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• pp.1097-1110
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• 2012

The convergence properties of extended negatively dependent sequences under some conditions of uniform integrability are studied. Some sufficient conditions of the weak law of large numbers, the $p$-mean convergence and the complete convergence for extended negatively dependent sequences are obtained, which extend and enrich the known results in the literature.

• 한국지능시스템학회논문지
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• 제14권7호
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• pp.852-856
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• 2004

이 논문에서는 퍼지 랜덤 변수의 합에 대한 약한 대수의 법칙을 일반화로서, 컴팩트 일양 적분 가능한 수준 연속 퍼지 랜덤 변수의 가중 합이 약 수렴하기 위한 동치 조건을 구하였다.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.1-15
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• 2002

In this paper an important stability property of the extremes under power normalizations is discussed. It is proved that the restricted convergence of the Power normalized extremes on an arbitrary nondegenerate interval implies the weak convergence. Moreover, this implication, in an important practical situation, is obtained when the sample size is considered as a random variable distributed geometrically with mean n.

• East Asian mathematical journal
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• 제29권1호
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• pp.23-37
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• 2013

The purpose of this paper is to study an implicit iteration process with errors and establish weak and strong convergence theorems to converge to common fixed points for a finite family of generalized asymptotically quasi-nonexpansive mappings in the framework of uniformly convex Banach spaces. Our results extend, improve and generalize some known results from the existing literature.

• Korean Journal of Mathematics
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• 제31권3호
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• pp.269-294
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• 2023

The purpose of this paper is to introduce a new three-step iterative process and show that our iteration scheme is faster than other existing iteration schemes in the literature. We provide a numerical example supported by graphs and tables to validate our proofs. We also prove convergence and stability results for the approximation of fixed points of the contractive-like mapping in the framework of uniformly convex Banach space. In addition, we have established some weak and strong convergence theorems for nonexpansive mappings.

• 디지털융복합연구
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• 제10권1호
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• pp.29-38
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• 2012

새롭게 다가오고 급변하는 스마트 융합환경속에서 정보격차 해소 이슈가 새롭게 조명되고 있다. 전통적인 정보격차의 개념과 범주에 대해 정의하고 그동안 정부가 정보격차 해소를 위해 펼쳐온 노력 사항에 대해 알아보고 해외주요 국가들의 스마트 융합환경속에서의 정보격차 현황에 대해 살펴보았다. 해외 주요국과 한국과의 스마트폰 환경 하에서의 장노년층, 장애인, 저소득층등 취약 계층별 정보 격차 현상에 대해 살펴보고 특별한 차별점을 인식하려 노력하였다. 이에 따른 시사점 분석을 통해 필요한 정책방안을 제시하고 그 달성을 위해 우리 정부나 산업계, 학계, 사회단체 등에서 어떠한 노력을 기울여야 할 것인가를 제시하였다. 정보통신 일등국가로서의 위치를 계속 유지해나가는 것은 전 국민이 평등하게 정보를 공유하여 모두가 삶이 행복한 사회를 구현할 때 비로소 가능해 지는 것이라고 믿는다. 본 연구에서 제시하는 전략안이나 제언이 정부의 정보통신정책 마련에 도움이 되었으면 한다.

• 대한수학회지
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• 제45권3호
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• pp.795-805
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• 2008

The aim of this paper is to extend the "classical degenerate convergence criterion" and the Feller weak law of large numbers to double adapted arrays of random variables.

• 대한수학회보
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• 제41권2호
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• pp.275-282
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• 2004

Let {$a_{ni},\;u_n\;{\leq}\;{\upsilon}_n,\;n\;{\geq}\;1$} be an arry of constants. Let {X_{ni},\;u_n\;{\leq}\;i\;{\leq}\;{\upsilon}_n,\;n\;{\geq}\;1$} be {$a_{ni}$}-uniformly integrable random variables. Weak laws for the weighted sums ${{\Sigma}_{i=u_n}}^{{\upsilon}_n}\;a_{ni}X_{ni}$ are obtained.

• 대한수학회지
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• 제45권1호
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• pp.289-300
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• 2008

For an array of dependent random variables satisfying a new notion of uniform integrability, weak laws of large numbers are obtained. Our results extend and sharpen the known results in the literature.

• 대한수학회지
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• 제54권1호
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• pp.319-357
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• 2017

There are presented certain results on extending continuous linear operators defined on spaces of E-valued continuous functions (defined on a compact Hausdorff space X) to linear operators defined on spaces of E-valued measurable functions in a way such that uniformly bounded sequences of functions that converge pointwise in the weak (or norm) topology of E are sent to sequences that converge in the weak, norm or weak* topology of the target space. As an application, a new description of uniform closures of convex subsets of C(X, E) is given. Also new and strong results on integral representations of continuous linear operators defined on C(X, E) are presented. A new classes of vector measures are introduced and various bounded convergence theorems for them are proved.