• 대한수학회지
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• 제44권3호
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• pp.585-603
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• 2007

The author studies the local $H\ddot{o}lder$ convergence of the solution to an evolution equation of p-Ginzburg-Landau type, to the heat flow of the p-harmonic map, when the parameter tends to zero. The convergence is derived by establishing a uniform gradient estimation for the solution of the regularized equation.

• East Asian mathematical journal
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• 제12권1호
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• pp.93-105
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• 1996

• 대한수학회논문집
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• 제2권1호
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• pp.63-69
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• 1987

• Korean Journal of Mathematics
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• 제17권4호
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• pp.399-409
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• 2009

We study the weak convergence of various models to Fractional Brownian motion. First, we consider arima process and ON/OFF source model which allows for long packet trains and long inter-train distances. Finally, we figure out power spectrum density as a Fourier transform of autocorrelation function of arima model and binary signal model.

• Korean Journal of Mathematics
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• 제11권1호
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• pp.35-43
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• 2003

We study the weak convergence to Fractional Brownian motion and some examples with applications to traffic modeling. Finally, we get loss probability for queue-length distribution related to self-similar process.

• Journal of applied mathematics & informatics
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• 제27권3_4호
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• pp.661-672
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• 2009

In this paper, we introduce a modified three-step iteration scheme with errors for asymptotically nonexpansive mappings in the framework of uniformly convex Banach spaces. Weak and strong convergence theorems are established.

• Journal of the Korean Statistical Society
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• 제28권2호
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• pp.253-264
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• 1999

Conditinal weakly convergence of the blockwise bootstrapped empirical process for stationary sequences to the appropriate Gaussian process is reestablished particularly for severely dependent $\alpha$-mixing sequences. Issue of block size is discussed from the point of validity of bootstrap method.

• Journal of applied mathematics & informatics
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• 제8권2호
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• pp.345-360
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• 2001

Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the mth(m≥2 an integer). Radius of convergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover, we show that under hypotheses on the mth Frechet-derivative our radius of convergence can sometimes be larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also provided to show that our radius of convergence is larger than the one in [10].

• Journal of applied mathematics & informatics
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• 제6권2호
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• pp.393-406
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• 1999

Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the second. Radius of con-vergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivation our radius of convergence results are derived. Results involving superlinear convergence and known to be true or inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivative our radius of conver-gence is larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also pro-vided to show that our radius of convergence is larger then the one in [10].

• 국제물리치료학회지
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• 제12권1호
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• pp.2286-2294
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• 2021

Background: Exercise is necessary for the health of companion dogs. It is necessary to determine the relationship between height, weight, age and amount of exercise for the purpose of companion dog's health. Objectives: A survey was conducted in this study to small-dog owners living in Yongin city, Gyeonggi-do about their canine healthcare awareness. Design: Questionnaire design. Methods: The questionnaire was composed of exercise amount, type of exercise, and the necessity of exercise, general health condition, and environment. A total of 139 survey results were obtained. The average value of each item was analyzed and expressed in terms of frequency and percentage. Then, Pearson's correlation coefficients were used to find the relationship between these items. Results: The weight and height were not shown to have a significant difference in the amount of exercise in the results. The weight had a weak positive correlation with "exercise time of canine per day". The age had a weak negative correlation with "the number of canine exercise per week" and "frequency of canine exercise per day", while it had a weak positive correlation with "self-assessment of canine lack of exercise". Conclusion: Based on this study, it is believed that in the future, various environments where dogs can exercise are believed to be necessary for the era of convergence.