• 대한수학회지
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• 제57권6호
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• pp.1485-1508
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• 2020

In this paper, we investigate the complete f-moment convergence for extended negatively dependent (END, for short) random variables under sub-linear expectations. We extend some results on complete f-moment convergence from the classical probability space to the sub-linear expectation space. As applications, we present some corollaries on complete moment convergence for END random variables under sub-linear expectations.

• Journal of applied mathematics & informatics
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• 제5권2호
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• pp.507-516
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• 1998

In this study we are concerned with the problem of ap-proximating a locally unique solution of an equation on a Banach space. A semilocal convergence theorem is given for the Super-Halley method in Banach spaces. Earlier results have shown that the order of convergence is four for a certain class of operators [4] [5] [8] These results were not given in affine invariant form and made use of a real quadratic majorizing polynomial. Here we provide our re-sults in affine invariant form showing that the order of convergence is at least four. In cases that it is exactly four the rate of convergence is improved. We achieve these results by using a cubic majorizing polynomial. Some numerical examples are given to show that our error bounds are better than earlier ones.

• 한국실내디자인학회논문집
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• 제13권4호
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• pp.172-179
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• 2004

As the properties of living space and objects change in the digital era, furniture is also expected to change. This study starts from the question of such inclination that the digital innovation drives territories among products into the ambiguous, then tries to trace the variation of meaning against the furniture. Based on this possibility these functions, this research aims, to find out the digital functions which is preferred to be integrated with the furniture for the users of the residential space and the interface design aspects, which are considered important. preliminary survey using university students was done to extract the possible digital functions for convergence. The respondents were married women in their 20s and 30s who filled out the surveys on the internet. As a result, the specific digital convergence functions for both living and kitchen space were Identified. As major important expects for them were found functionality and controllability. Thus furniture design will expand to a concept which designs a new way of life.

• Journal of Positioning, Navigation, and Timing
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• 제6권1호
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• pp.35-41
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• 2017

Precise Point Positioning (PPP) method is based on dual-frequency data of Global Navigation Satellite Systems (GNSS). The recent multi-constellations GNSS (multi-GNSS) enable us to bring great opportunities for enhanced precise positioning, navigation, and timing. In the paper, the multi-GNSS PPP with a combination of four systems (GPS, GLONASS, Galileo, and BeiDou) is analyzed to evaluate the improvement on positioning accuracy and convergence time. GNSS observations obtained from DAEJ reference station in South Korea are processed with both the multi-GNSS PPP and the GPS-only PPP. The performance of multi-GNSS PPP is not dramatically improved when compared to that of GPS only PPP. Its performance could be affected by the orbit errors of BeiDou geostationary satellites. However, multi-GNSS PPP can significantly improve the convergence speed of GPS-only PPP in terms of position accuracy.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.309-323
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• 2002

This paper studies the parameter estimation problem for a steady state flow in an inhomogeneous medium. Our approximation scheme could be used when the diffusion coefficient is singular. The function space parameter estimation convergence(FSPEC) is considered and numerical simulations are performed.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제6권1호
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• pp.47-52
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• 1999

In this note we give a characterization on weak convergence of bounded linear functionals in $\sigma$-complete abstract M spaces.

• 대한수학회논문집
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• 제13권1호
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• pp.171-179
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• 1998

In this paper, we establish Trotted-Kato type convergence theoren for nonlinear semigroups generated by coaccretive operators in a hyperbolic space.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제13권3호
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• pp.207-215
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• 2006

Using more precise majorizing sequences than before [6], [10], [11], [14] we provide a finer semilocal convergence analysis for a certain class of Euler-Halley type methods for approximating a solution of an equation in a Banach space setting.

• 충청수학회지
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• 제23권2호
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• pp.391-399
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• 2010

In this paper, we introduce the notions of the fuzzy statistical convergence of sequences, the fuzzy statistical Cauchy sequence on a fuzzy normed linear space. And we investigate some properties of the related completeness.

• East Asian mathematical journal
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• 제25권1호
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• pp.27-37
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• 2009

In this paper, we introduce an iterative method for a pair of nonexpansive mappings. Strong convergence theorems are established in a real uniformly smooth Banach space.