• Journal of applied mathematics & informatics
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• v.6 no.2
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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].

• Journal for History of Mathematics
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• v.27 no.1
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• pp.81-93
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• 2014

The $L^1$-convergence of Fourier series problems through additional assumptions for Fourier coefficients were presented by W. H. Young in 1913. We say that they are the classical results. Using modified trigonometric series is the convenience method to study the $L^1$-convergence of Fourier series problems. they are called the neoclassical results. This study concerns with the $L^1$-convergence of Fourier series. We introduce the classical and neoclassical results of $L^1$-convergence sequentially. In particular, we investigate $L^1$-convergence results focused on the results of Bhatia's studies. In conclusion, we present the research minor lineage of Bhatia's studies and compare the classes of $L^1$-convergence mutually.

• Journal of Distribution Science
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• v.16 no.6
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• pp.77-84
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• 2018

Purpose - The aim of this study was to analyze the educational needs of distribution company salespeople in core competencies for convergence and their general perception of convergence education. Furthermore, this study provides basic data on core competencies for convergence needed by them. Research design, data, and methodology - A survey was conducted on 104 distribution company salespeople who worked near Seoul, Korea to analyze the perceptions of their educational needs in core competencies for convergence education, according to their socio-demographic characteristics. The socio-demographic characteristics were gender, age, workplace size, education background, work experience and business category. The questionnaire consisted of demographic factors (7 questions), general perception of convergence education (5 questions), perception of importance of core competency for distribution company salespeople (9 questions), and current perception of distribution company salespeople on core competency of convergence workers (9 questions). Park et al.(2014)'s categorization of convergence core competencies was used: Cognitive convergence (creative thinking, critical thinking and understanding of convergence knowledge), convergence performance (problem solving, communications, collaboration and application of convergence tools) and attitude toward convergence (empathy and responsibility). Data was collected through an independent sample of t-tests and a one-way analysis of variance and the Borich Needs Assessment Model was used to identify the educational needs of distribution company salespeople in the core competencies of convergence education. Results- The results show that the subjects recognized the need for convergence education to be high among the general perceptions. The perception scores for workers of different backgrounds only varied according to the size of the business. Moreover, the results of the educational needs analysis and the ranks of the required core competencies of convergence workers by the subjects were as follows: 1. convergence knowledge understanding competency, 2. creative thinking competency, 3. convergence tool application competency, 3. communications competency, 4. problem solving competency, 5. collaboration competency, 6. critical thinking competency, 7. empathy competency, 8. responsibility competency. Conclusions - This study highlights the necessity of developing university curriculum that can nurture the core competencies of conversion education reflecting distribution company salespeople's requests as well as cultivating qualified convergence workers required by distribution company workers.

• Journal of Engineering Education Research
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• v.21 no.1
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• pp.3-13
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• 2018

The purpose of this study is to propose a teaching and learning model that can effectively manage convergence education, which is one of the concerns of university education, at the level of course. The pre-collaborative instructional design stage is to prepare the operation of the convergence project course. It shares the common goal and establishes a team of relevant professors to set up the actual convergence project topic and establishes cooperation relationships with industry or community as needed. In the convergence project activity, students will be able to understand the learning objectives, learning activities, evaluation methods, and explain the subject of the convergence project by proceeding with the whole orientation. Students organize teams of interest and conduct learning and design activities on convergence technologies and present their results. In the educational improvement activities, professors will share the lesson process and results and discuss improvements through the improvement seminar. As a result of analyzing the effectiveness of the proposed convergence project based teaching and learning model, the convergence project experience has improved the cooperative self - efficacy for the learners and the results were confirmed that students perceived to achieve the expected learning goal and satisfied with their experience.

• Journal of Internet of Things and Convergence
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• v.4 no.1
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• pp.23-29
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• 2018

The purpose of study was to analyze the trends of 2005 to 2018 revised 'convergence technology research' through text network analysis using NetMiner4.0 program. Data analysis was conducted by using keyword analysis, centrality analysis of 653 authors' keyword from 177 journals. The results of the study are as follows. First, Research on Converging Technology has been studied steadily over the past 13 years in Department of Industry Convergence. Second, the results of the search term frequency analysis show that the 'convergence technology', 'technology convergence', 'convergence', 'design', 'convergence education', 'STEAM', 'convergence research' were used as the main keywords of convergence technology research. Third, Community analysis results show that five communities have been classified five categories according to the characteristics of the search terms 'only IT', 'Cultural industry utilizing Convergence contents', 'Technology innovation and research analysis' And patent development'. Based on these results, we proposed the future directions of convergence technology research.

• Korean Journal of Mathematics
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• v.27 no.4
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• pp.929-947
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• 2019

In the present paper, we investigate the convergence, equivalence of convergence, rate of convergence and data dependence results using a three step iteration process for mappings satisfying certain contractive condition in hyperbolic spaces. Also we give nontrivial examples for the rate of convergence and data dependence results to show effciency of three step iteration process. The results obtained in this paper may be interpreted as a refinement and improvement of the previously known results.

• Journal of applied mathematics & informatics
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• v.6 no.3
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• pp.685-696
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• 1999

We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

• Journal of applied mathematics & informatics
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• v.8 no.2
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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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• v.5 no.2
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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.

• Journal of the Korean Society for Precision Engineering
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• v.33 no.5
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• pp.349-356
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• 2016

This study investigates the effects of convergence firefighter helmet attributes on consumer attitude toward the product and willingness-to-pay. The results of empirical analysis are as follows. First, consumer attitude toward the convergence product is more favorable when conciseness, economical efficiency, and the utility value of the convergence product's attributes are high, while consumer attitude toward the convergence product is less favorable when the perceived risk of the convergence product's attributes is high. Second, consumer willingness-to-pay for the convergence product is higher when conciseness, economical efficiency, and the utility value of the convergence product's attributes are high, while consumer willingness-to-pay for the convergence product is lower when the perceived risk of the convergence product's attributes is high. Based on our results, the implications are discussed for the further development of convergence products.