• Journal of the Chungcheong Mathematical Society
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• v.31 no.3
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• pp.321-324
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• 2018

We present a new and simple proof of improved Carleson's inequality.

• 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.

• The Pure and Applied Mathematics
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• v.15 no.1
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• pp.93-101
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• 2008

In this article we shall characterize the Heinz-Kato-Furuta inequality in several ways, and the best bound for sharpening of the inequality is obtained by the method in [7].

• The Pure and Applied Mathematics
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• v.19 no.3
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• pp.305-313
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• 2012

In this note we study Nesbitt's Inequality and modify it to make several inequalities. We prove some inequalities by using power series and Cauchy-Schwarz Inequality.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.1
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• pp.11-16
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• 2009

In this paper, using the diagonally $\mathcal{C}$-concave condition, we will prove a functional inequality in a topological space, and as an application, we can obtain a new variational inequality.

• Journal of Labour Economics
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• v.27 no.2
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• pp.67-89
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• 2004

In this paper, I examine the impacts of father's education, a proxy for family wealth and income, on the individual's education, occupational choice and labor force status. I find that father's education influences the level of individual educational investment and occupational choices directly, whose findings are quite different from those of Blau and Duncan(l967) and Phang and Kim(2000). I also find that father's higher level of education induces an individual to withdraw from the labor force, which results in erosion of inequality among family. Therefore I argue that the inheritance of inequality in family wealth tends to persist, while the erosion of inequality proceeds, as well.

• 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.

• Korean Journal of Mathematics
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• v.25 no.4
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• pp.469-481
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• 2017

In this paper, we established a general nonconvex split variational inequality problem, this is, an extension of general convex split variational inequality problems in two different Hilbert spaces. By using the concepts of prox-regularity, we proved the convergence of the iterative schemes for the general nonconvex split variational inequality problems. Further, we also discussed the iterative method for the general convex split variational inequality problems.

• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.303-320
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• 2007

The purpose of this study is to develop a tool which can be used in factor analysis of inequality on mathematics scholastic achievement. The objectives for study are as follows: First, we develop a model for 'factor analysis of inequality on mathematics scholastic achievement' transformed from Persell's 'A model for factor analysis of inequality on education'. Second, we analyze the inequality factors with the deviation index of objects on mathematics scholastic achievement that we have developed. The results of this study are as follows: We development a model for 'factor analysis of inequality on Mathematics' and inequality factors on mathematics scholastic achievement in secondary schools are private education, scholarships of parents, region, sex and school system. The factors most influenced in mathematics scholastic achievement are economic standings of household, scholarships of parents and private educations in order.

• Kyungpook Mathematical Journal
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• v.56 no.1
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• pp.161-172
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• 2016

In this paper, we use the Riemann-Liouville fractional integrals to establish several new inequalities for some differantiable mappings that are connected with the celebrated Ostrowski type integral inequality.