• Honam Mathematical Journal
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• 제31권2호
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• pp.247-258
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• 2009

This paper introduces new mixed vector FQ-implicit variational inequality problems and corresponding mixed vector FQ-implicit complementarity problems for set-valued mappings, and studies the equivalence between them under certain assumptions in Banach spaces. It also derives some new existence theorems of solutions for them with examples under suitable assumptions without monotonicity. This paper generalizes and extends many results in [8, 10, 19-22].

• East Asian mathematical journal
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• 제24권1호
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• pp.1-6
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• 2008

In this paper, we introduce a system of nonlinear variational inclusions involving (A, $\eta$)-monotone mappings in the framework of Hilbert spaces. Based on the generalized resolvent operator technique associated with (A, $\eta$)-monotonicity, the approximation solvability of solutions using an iterative algorithm is investigated. Our results improve and extend the recent ones announced by many others.

• Proceedings of the Korean Institute of Communication Sciences Conference
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• 한국통신학회 1986년도 추계학술발표회 논문집
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• pp.68-71
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• 1986

A new circuit configuration for charge-balancing successive approximation Analog-to-Digital converters is described. This consists of a improved successive approximation register(SAR) and a weighted capacitor Digital-to-Analog converter (WCDAC). Due to the inherent conversion property of the WCDAC, the A/D converter using the WCDAC can be simply implemented by successive approximation conversion method, and 4bit monotonicity conversion with differential nonlinearity less 1/2LSB is completed in 80 US.

• Proceedings of the Korean Institute of Intelligent Systems Conference
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• 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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• pp.331-334
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• 2004

In this paper, we define signed interval-valued Choquet integrals and shows the signed interval-valued Choquet integrals can model violations of separability and monotonicity Furthermore, we discuss some applications to intertemporal preference, asset pricing, and welfare evauations.

• Honam Mathematical Journal
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• 제41권4호
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• pp.745-756
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• 2019

In this paper, we establish the log convexity and Turán type inequalities of extended (p, q)-beta functions. Likewise, we present the log-convexity, the monotonicity and Turán type inequalities for extended (p, q)-confluent hypergeometric function by utilizing the inequalities of extended (p, q)-beta functions.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• 제8권1호
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• pp.55-66
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• 2004

First the notion of the A-monotonicity is applied to the approximation - solvability of a class of nonlinear variational inclusion problems, and then the convergence analysis is given based on a projection-like method. Results generalize nonlinear variational inclusions involving H-monotone mappings in the Hilbert space setting.

• Korean Journal of English Language and Linguistics
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• 제2권4호
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• pp.495-518
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• 2002

This paper is to analyze various phenomena of NPIs based on Nonveridicality Theory. For this purpose, I present the previous studies concerning NPls and examine their problems: Ladusaw's(1980) Downward Entailment and Zwarts'(1993) Monotonicity Theory. To solve their problems I suggest Giannakidou's(1998, 1999, 2000) Nonveridicality Theory. To conclude, this paper clarifies the reason why NPls are licensed and resolves the problems of previous studies. I explain NPIs' phenomena in questions, modals, intentional verbs, before, perhaps and so on. I analyse the examples of NPls in BNC, S&S, P&P to prove my claim.

• Korean Journal of Mathematics
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• 제24권2호
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• pp.273-296
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• 2016

Some new trace inequalities for convex functions of self-adjoint operators in Hilbert spaces are provided. The superadditivity and monotonicity of some associated functionals are investigated. Some trace inequalities for matrices are also derived. Examples for the operator power and logarithm are presented as well.

• Bulletin of the Korean Mathematical Society
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• 제47권1호
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• pp.103-111
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• 2010

In the present paper, we give two new proofs for the necessary and sufficient condition $\alpha\leq1$ such that the function $x^{\alpha}[lnx-\psi(x)]$ is completely monotonic on (0,$\infty$).

• The Pure and Applied Mathematics
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• 제16권1호
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• pp.121-131
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• 2009

In this paper we examine the relation among law-invariant coherent risk measures with the Fatou property, distortion risk measures and spectral risk measures, and give a new proof of the relation among them. It is also shown that the spectral risk measure satisfies the monotonicity with respect to stochastic dominance and the comonotonic additivity.