• East Asian mathematical journal
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• v.34 no.1
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• pp.17-20
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• 2018

Hardy-Bennett inequality is an inequality of Hardy-type having logarithmic weight. It appeared in 1973, and several generalizations followed. We, in this note, present another generalization with a simple proof.

• East Asian mathematical journal
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• v.22 no.1
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• pp.1-16
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• 2006

Some new reverses of the Schwarz inequality in inner product spaces and applications for vector-valued sequnces and integrals are given.

• Kyungpook Mathematical Journal
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• v.49 no.3
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• pp.563-572
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• 2009

In this paper, by introducing some parameters and using the way of weight function, a new integral inequality with a best constant factor is given, which is a relation between Hilbert's integral inequality and a Hilbert-type inequality. As applications, the equivalent form, the reverse forms and some particular inequalities are considered.

• Korean Journal of Mathematics
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• v.23 no.4
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• pp.655-664
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• 2015

In this paper, we prove the discrete Hardy inequality through the continuous case for decreasing functions using elementary properties of calculus. Also, we prove the Carleman's inequality through limiting the discrete Hardy inequality with applications of Taylor series.

• Journal of the Korean Mathematical Society
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• v.39 no.3
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• pp.351-361
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• 2002

We extend the Holder-McCarthy inequality for a positive and an arbitrary operator, respectively. The powers of each inequality are given and the improved Reid's inequality by Halmos is generalized. We also give the bound of the Holder-McCarthy inequality by recursion.

• Journal of the Korean Mathematical Society
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• v.45 no.3
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• pp.821-834
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• 2008

Refinements of a variant of Jensen's inequality for functions with nondecreasing increments are presented. Obtained results are used to prove refinements of related variants of Cebysev's inequality and Holder's inequality.

• Analyses & Alternatives
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• v.5 no.2
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• pp.3-38
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• 2021

Does Foreign Direct Investment (FDI) exacerbate income inequality in South Korea? If so, does rising income inequality come for the sake of economic growth? This study explores the impact of FDI on income inequality and growth in South Korea. To this end, we collect data on FDI and income inequality/economic growth at both national and provincial levels and empirically test their relationships in South Korea. The empirical results confirm our expectation that FDI magnifies income inequality. Furthermore, we fail to find a positive relationship between FDI and economic growth, implying that income inequality as a consequence of FDI does not come for the sake of economic growth in Korea. Findings suggest that more systematic research and nuanced policy design is necessary to circumvent the mechanisms at play that link the surge of FDI inflows and the exponential expansion of economic inequality.

• 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.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.18 no.3
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• pp.279-282
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• 2014

In this paper, we report a new sharp inequality of interpolation type in $\mathbb{R}^n$. This inequality is for controlling weighted average of a function via $L^n$ norm of the gradient of a function together with its' certain exponential norm.

• Korean Journal of Labor Studies
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• v.24 no.3
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• pp.1-34
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• 2018

This paper attempts to provide a new theoretical approach and an empirical analysis based on it to interrogate the structure of household income inequality and its changes in South Korea in the 2010s. Previous research on inequality in sociology, labor economics and feminism has focused on local inequalities which derive from specific spaces of society. For a comprehensive understanding of social inequality in totality, it requires a discussion of global inequality beyond local inequalities. Thus, a synthetic approach that integrates local inequalities, encompassing class, the labor market, population, and family. By using regression-based inequality decomposition, we decompose the contribution of gender, level of education, employment status, occupation, household composition and wealth to household income inequality. This paper shows that household and wealth, as well as the factors discussed in the previous research, are significant factors affecting household income inequality in South Korea.