• Kyungpook Mathematical Journal
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• 제52권3호
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• pp.307-317
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• 2012

In this paper we establish several Hadamard-type integral inequalities for (${\alpha}$, m)-convex functions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제21권2호
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• pp.141-145
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• 2014

In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).

• 충청수학회지
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• 제29권3호
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• pp.453-464
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• 2016

In this paper, we investigate the solution of the following functional inequality $$N(f(x)+f(y)+f(z),t){\geq}N(f(x+y+z),mt)$$ for some fixed real number m with $\frac{1}{3}$ < m ${\leq}$ 1 and using the fixed point method, we prove the generalized Hyers-Ulam stability for it in fuzzy Banach spaces.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제15권2호
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• pp.203-207
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• 2008

In [1], Mishra and Wang established relationships between vector variational-like inequality problems and non-smooth vector optimization problems under non-smooth invexity in finite-dimensional spaces. In this paper, we generalize recent results of Mishra and Wang to infinite-dimensional case.

• 호남수학학술지
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• 제42권4호
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• pp.747-755
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• 2020

The mathematical proof for establishing some new inequalities involving arithmetic, geometric, harmonic means for the arguments lying on the paths of triangular wave function (linear) and new parabolic function (curved) over the interval (0, 1) are discussed. The results representing an extension as well as strengthening of Ky Fan Type inequalities.

• Nonlinear Functional Analysis and Applications
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• 제26권4호
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• pp.781-792
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• 2021

In this paper, we study well-posed problems and variational inequalities in locally convex Hausdorff topological vector spaces. The necessary and sufficient conditions are obtained for the existence of solutions of variational inequality problems and quasi variational inequalities even when the underlying set K is not convex. In certain cases, solutions obtained are not unique. Moreover, counter examples are also presented for the authenticity of the main results.

• 대한수학회논문집
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• 제37권3호
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• pp.851-864
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• 2022

We define a kind of sectional curvature and 𝛿-invariants for statistical manifolds. For statistical submanifolds the sum of the squared mean curvature and the squared dual mean curvature is bounded below by using the 𝛿-invariant. This inequality can be considered as a generalization of the so-called Chen inequality for Riemannian submanifolds.

• Nonlinear Functional Analysis and Applications
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• 제29권2호
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• pp.517-526
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• 2024

In this paper, some iterative methods are used to discuss the behavior of general mixed-harmonic variational inequalities. We employ the auxiliary principle technique and g-strongly harmonic monotonicity of the operator to obtain results on the existence of solutions to a generalized class of mixed harmonic variational inequality.

• 한국사회정책
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• 제24권2호
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• pp.157-179
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• 2017

우리 사회에서는 언론이나 젊은 세대를 중심으로"금수저-흙수저"로 구분되는 수저계급론이 크게 부각되고 있으며, 이를 통해 계층적 신분구조가 고착화되고 있다는 대중적 담론이 널리 확산되고 있다. 2000년대 말 이후 객관적인 소득분배구조의 일정한 개선이 이뤄짐에도 불구하고 국민들의 주관적 인식에 있어 오히려 계층이동/세습이나 사회공정성에 대해 부정적인 여론이 날로 확대되고 있다는 점이 주목된다. "기회불평등의 인식조사" 자료를 활용한 실증분석을 통해 사회경제적 기회불공평, 기회불평등의 심각성 그리고 노력성취에 대한 주관적 인식에 있어서 전반적으로 부정적 평가가 내려지고 있으며, 특히 주관적인 계층지위에 따라 그 부정적 평가의 정도가 높게 나타나고 있다. 사회경제적 성취기회 불공평, 기회불평등 심각성 그리고 노력성취의 주관적 인식에 대한 회귀분석을 통해서는 부모세대와 본인세대의 계층지위(-), 차별 불이익 경험(+), 연령(-), 대학 대학원의 고학력(+)이 일관되게 유의한 영향을 미치는 것으로 밝혀졌다. 부연하면, 15세 성장기(부모세대)와 조사시점의 주관적 계층지위가 낮을수록, 차별 불이익의 경험을 가질수록, 젊은 연령층일수록, 그리고 대학 이상의 고학력자일수록 우리 사회의 기회불평등에 대해 부정적이거나 비관적인 인식태도를 보이는 것으로 분석되었다. 아울러, 사회경제적 성취기회의 불공평과 기회불평등의 심각성에 대해서는 실업자 및 비정규직 또는 비경제활동이 높은 부정적 인식태도와 유의한 상관관계를 보이고 있으며, 기회불평등의 심각성과 노력성취에 대해 중위소득 가구 및 상위소득 가구가 부정적인 인식태도를 갖는 것으로 나타났다.

• Yonsei Medical Journal
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• 제59권9호
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• pp.1034-1040
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• 2018

Purpose: This study aimed to investigate inequalities in colorectal cancer (CRC) screening rates in Korea and trends therein using the slope index of inequality (SII) and relative index of inequality (RII) across income and education groups. Materials and Methods: Data from the Korean National Cancer Screening Survey, an annually conducted, nationwide cross-sectional survey, were utilized. A total of 17174 men and women aged 50 to 74 years were included for analysis. Prior experience with CRC screening was defined as having either a fecal occult blood test within the past year or a lifetime colonoscopy. CRC screening rates and annual percentage changes (APCs) were evaluated. Then, SII and RII were calculated to assess inequality in CRC screening for each survey year. Results: CRC screening rates increased from 23.4% in 2005 to 50.9% in 2015 (APC, 7.8%; 95% CI, 6.0 to 9.6). Upward trends in CRC screening rates were observed for all age, education, and household income groups. Education inequalities were noted in 2009, 2014, and overall pooled estimates in both indices. Income inequalities were inconsistent among survey years, and overall estimates did not reach statistical significance. Conclusion: Education inequalities in CRC screening among men and women aged 50 to 74 years were observed in Korea. No apparent pattern, however, was found for income inequalities. Further studies are needed to thoroughly outline socio-economic inequalities in CRC screening.