• Kyungpook Mathematical Journal
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• v.46 no.3
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• pp.425-431
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• 2006

In this paper, by introducing three parameters A, B and ${\lambda}$, and estimating the weight coefficient, we give a new extension of Hardy-Hilbert's inequality with a best constant factor, involving the Beta function. As applications, we consider its equivalent inequality.

• Kyungpook Mathematical Journal
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• v.50 no.2
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• pp.307-314
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• 2010

By introducing a homogeneous kernel of 0-degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.

• Asia-Pacific Journal of Business
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• v.8 no.2
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• pp.15-30
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• 2017

This study analyzes the relationship between income inequality and economic growth. Gini coefficient (market income), the deciles income inequality index and per capita real GDP were analyzed. Furthermore, various cointegration tests were tried to improve the reliability of the test results. From the weak exogeniety test of between per capita real GDP and the Gini coefficient (market income), per capita real GDP has a weak exogeneity while the Gini coefficient is endogenous. From the various cointegration tests, we found out that there is a cointegration between Gini coefficient and per capita real GDP. Moreover, it is estimated that per capita real GDP has a positive effect on the Gini coefficient (market income). In the VAR Granger causal analysis, per capita real GDP affects the Gini coefficient (market income), but it is difficult to say that the Gini coefficient (market income) always has an effect on per capita real GDP. Also, the impulse-response function of the VAR model shows that per capita real GDP temporarily reduces the Gini coefficient (market income), and then increases it over time. Accordingly, it is necessary for the policies to improve not only the distribution structure but also income distribution through economic growth.

• The Journal of Fisheries Business Administration
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• v.54 no.2
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• pp.77-90
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• 2023

This study employed the Gini coefficient decomposition analysis to classify and examine fishery household income inequality according to income sources. The raw data from the Fisheries Economic Survey by the National Statistical Office were used for the analysis after equalization according to the recommended method of the OECD. In particular, the Gini coefficient was decomposed by classifying with and without public subsidies, and the contribution, correlation, and marginal effect by income source were presented.As a result of the analysis, the inequality of fishing income and non-fishing income of fishermen was worsening, and the inequality of transfer income was continuously easing. Among them, fisheries subsidies have been analyzed to have the greatest contribution to the Gini coefficient of gross income and the highest relative marginal effect, although distribution inequality has been alleviated. On the other hand, other subsidies, including public pensions, were found to have the opposite contribution, correlation, and marginal effect to fisheries subsidies. The results of this analysis showed that even within public subsidies, the contribution to income redistribution might differ depending on the nature of the subsidy. In addition, in the case of other public subsidies, it can be seen that the transition from selective welfare to universal welfare occurs.

• IE interfaces
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• v.6 no.2
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• pp.151-169
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• 1993

In this research, we proposed "coefficient of inequality" as a measure of distributional inequality for an alternative, which is defined as the area between the diagonal line from 0 to 1 and the Lorenz curve of the given alternative. Next, we showed theoretical relationship between stochastic dominance and the coefficient of inequality as a means to determine the preferred alternative when decision is made with incomplete information about decision maker's utility function. Then, two experiments were performed to test subject‘s attitude toward risk. The results of the experiments support the idea that when a decision maker is risk averse or risk prone, he/she can use the coefficient of inequality as a decision rule to choose the preferred alternative instead of using stochastic dominance. Thus, according to decision maker’s attitude toward risk, the decision rule proposed here can be used as a valuable aid in decision making under uncertainty with incomplete information.

• Korean Journal of Labor Studies
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• v.23 no.2
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• pp.47-77
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• 2017

This paper analyzes the changes in wage inequality and its contributing factors since the mid-2000s. Although trends vary by data and wage indices, the Gini coefficient of the total wage of all workers shows an increasing trend due to the part-time increase of less than 35 hours per week, while the wage Gini coefficient of hourly wages and the total wage Gini coefficient of full-time workers showed a declining trend. Part-time increases have increased inequality based on total wages, but part-time hourly wage increases can be considered to have reduced hourly wage inequality. Therefore, as a result of decomposing the factor of Gini coefficient reduction only for full-time workers, factors that contributed absolutely to inequality reduction were variables such as job tenure, career, and occupation, and employment type variable has little effects, and the establishment size variable deepens inequality. The variables such as industry, age, and education did not contribute significantly to the inequality change. This is attributed to the decline in wage premiums for job tenure and management and professional jobs and the increase in wage premiums for large-scale businesses.

• The Journal of the Korea Contents Association
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• v.16 no.8
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• pp.366-375
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• 2016

This study evaluates the degree of the inequality of medical care expenditure and private health insurance benefits and the relation with household income inequality in korea health care system. This study used the 2014 korea Health Panel survey, and study method is Gini coefficient. The main results are as follow. First, average household income in 1st income quartile is 6,290,000won and 10st income quartile is 101,930,000won. And Gini coefficient of Korea household income is 0.3756. In other words, family income inequality is quite serious. Second, the Gini coefficient of the public institution supported medical care expenditure, such as health insurance and public assistance, is 0.0761, and the Gini coefficient of the expenditure of transportation fee and medical materials etc that don't supported is 0878. The inequality in medical care expenditure in public health care system and without public support aren't serious all. Third, Gini coefficient in excluding household medical care expenditure from household income slightly increased. That is, the medical care expenditure of our country household is the factor of aggravating the inequality of household income. Fourth, Gini coefficient of private health insurance benefits is 0.0927. Therefore, the ineqality in private insurance benefits is low. In addition, the Gini coefficient of the sum of private insurance benefits and household income is 0.3672. it decrease from Gini coefficient(0.3756) of household's. Private health insurance perform the functions somewhat weaken household income inequality. However, it is very little improvement.

• The Journal of the Korea Contents Association
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• v.21 no.8
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• pp.478-488
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• 2021

This study analyzes the change in the contribution of the elderly to income inequality by using the Gini coefficient and the decile distribution ratio from the data of the Korea Welfare Panel Survey from 2007 to 2018 on economic inequality in old age. According to the study, the Gini coefficient of total income gradually decreased from 0.430 in 2007 to 0.383 in 2018. As a result, inequality decreased. Also, the higher the income quintile, the higher the income growth rate. Market income inequality has increased and inequality between public and private transfer income has decreased. Analysis of the contribution of income inequality to total income confirmed that public transfer income has replaced the role of private transfer income in reducing inequality over time. The expansion of public transfer income for the maintenance of basic living of the elderly is an important source of income for the elderly despite the crowding-out effect of private transfer income, market income, public and private transfer income, which are components of the income structure of the elderly, mutually complement total income. Therefore, it is important to identify income sources that contribute to alleviating income inequality among the elderly and reflect them in policy-making process.

• The Pure and Applied Mathematics
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• v.31 no.2
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• pp.201-216
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• 2024

The aim of this paper is to study a new and unified class 𝓡^α_Cosh of analytic functions associated with cosine hyperbolic function in the open unit disc E = {z ∈ ℂ : |z| < 1}. Some interesting properties of this class such as initial coefficient bounds, Fekete-Szegö inequality, second Hankel determinant, Zalcman inequality and third Hankel determinant have been established. Furthermore, these results have also been studied for two-fold and three-fold symmetric functions.

• Kyungpook Mathematical Journal
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• v.47 no.3
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• pp.411-423
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• 2007

This paper deals with a reverse Hardy-Hilbert's inequality with a best constant factor by introducing two parameters ${\lambda}$ and ${\alpha}$. We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.