• Journal of Korean society of Dental Hygiene
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• v.22 no.5
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• pp.417-424
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• 2022

Objectives: This study aimed to find a way to solve oral health inequality in old age by understanding the effect of the socioeconomic level of the elderly on oral health. Methods: We used data from the 7th Korea National Health and Nutrition Examination Survey. A chi-square test was performed to investigate differences in oral health according to socioeconomic status and demographic and oral health-related factors. Socioeconomic status and oral health inequality were analyzed using multiple logistic regression. Results: The average number of teeth in the elderly was 17.20, which is insufficient for the minimum number of teeth required for mastication. In the analysis of the correlation between socioeconomic status and oral health inequality, education level, income level, and home ownership were factors influencing the oral health of the elderly; education level was found to have the strongest effect. Conclusions: Oral health inequality according to socioeconomic status was confirmed, and it is necessary to measure the level of oral health inequality with active efforts at the government level to resolve the gap in oral health by social class.

• Korean Journal of Social Welfare Studies
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• v.40 no.1
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• pp.235-260
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• 2009

This study aims to analyze consumption inequality of Korean elderly households. The justification for analyzing consumption inequality during old age could be summarized as follows. First, due to the rapid growth of elderly population, the intra generational inequality of older people will bring greater consequences to the society in the coming years. Second, inequality is more actualized during old age when income stops playing a major role and the everyday lives are based mostly on consumption activities. For analysis, this study used the 2nd, 5th, 7th and 9th wave of 『Korea Labor and Income Panel Study』. The findings are as follows. First, total consumption inequality of elderly households is gradually decreasing after the economic crisis. Also, the gini coefficient of consumption items representing modern consumption culture, such as expenditures on eating out and car maintenance is decreasing. However, the inequality contribution rate of such items is continually rising, indicating that whereas the elderly households in general are being assimilated to the mainstream consumption culture, the disparity between classes is continually expanding. Second, gini coefficient and inequality contribution rate of the essentials such as food and housing has decreased indicating that basic livelihoods in general has risen. Third, the inequality of education expenditure is increasing after the year 2000 which implies that the problem of education inequality in general might have an effect on elderly households.

• Kyungpook Mathematical Journal
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• v.60 no.2
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• pp.289-295
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• 2020

Minkowski's inequality is one of the most famous inequalities in mathematics, and has many applications. In this paper, we give Minkowski's inequality for generalized variational integrals that are based on a supermultiplicative function. Our results include previous results about fractional integral inequalities of Minkowski's type.

• Journal of the Korean Operations Research and Management Science Society
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• v.42 no.3
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• pp.1-12
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• 2017

In this paper, we generalize lifted inequalities to a 0-1 mixed-integer bilinear covering set with linear terms. This work is motivated by the observation that Generalized Bilinear Inequality (GBI) occurs in the Branch and Bound process. We find some conditions and prove the subadditivity of lifting functions for lifting to be sequence-independent. Using the theoretical results, we develop facet-defining inequalities for a GBI-defined set through three steps of lifting.

• Communications of the Korean Mathematical Society
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• v.31 no.1
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• pp.95-100
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• 2016

In this paper, we establish a new refinement of the arithmetic-geometric mean inequality. Applying this result in information theory, we obtain a more precise upper bound for Shannon's entropy.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.3 no.2
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• pp.107-119
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• 1999

A weighted integral inequality of Ostrowski type for mappings whose second derivatives are bounded is proved. The inequality is extended to account for applications in numerical integration.

• Communications of the Korean Mathematical Society
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• v.18 no.3
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• pp.551-558
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• 2003

In this paper we Obtain the Hajeck-Renyi type inequality for the asymptotically almost negatively associated(AANA) random variables and extend some results for negatively associated random variables to the AANA case by applying this inequality.

• The Pure and Applied Mathematics
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• v.17 no.2
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• pp.189-197
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• 2010

We give an upper bound for the estimation of the difference between both sides of the well-known H$\ddot{o}$lder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of H$\ddot{o}$lder's inequality is also obtained. The results of this paper are natural generalizations and refinements of those of [2-4].

• Korean Journal of Mathematics
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• v.22 no.2
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• pp.317-323
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• 2014

In this paper, we solve the additive functional inequality $${\parallel}f(x)+f(y)+f(z){\parallel}{\leq}{\parallel}{\rho}f(s(x+y+z)){\parallel}$$, where s is a nonzero real number and ${\rho}$ is a real number with ${\mid}{\rho}{\mid}$ < 3. Moreover, we prove the Hyers-Ulam stability of the above additive functional inequality in Banach spaces.

• Bulletin of the Korean Mathematical Society
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• v.42 no.4
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• pp.725-738
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• 2005

A reverse of the Cauchy-Bunyakovsky-Schwarz integral inequality for complex-valued functions and applications for the finite Fourier transform are given.