• Journal of applied mathematics & informatics
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• v.35 no.3_4
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• pp.371-385
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• 2017

Jain and Saraswat (2012) introduced new generalized f-information divergence measure, by which we obtained many well known and new information divergences. In this work, we introduce new information inequalities in absolute form on this new generalized divergence by considering convex normalized functions. Further, we apply these inequalities for getting new relations among well known divergences, together with numerical verification. Application to the Mutual information is also presented. Asymptotic approximation in terms of Chi- square divergence is done as well.

• Bulletin of the Korean Mathematical Society
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• v.45 no.3
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• pp.477-483
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• 2008

In this paper, by introducing parameter r>1, new weighted Ostrowski-Gruss-Cebysev type inequalities for 1/p+11/q=1-1/r are established.

• Communications of the Korean Mathematical Society
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• v.24 no.4
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• pp.553-559
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• 2009

In the paper, some new inequalities for certain bivariate means are obtained, which extend some known results.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.221-229
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• 2010

Some new $\check{C}$eby$\check{s}$ev type inequalities have been developed by working on functions whose first derivatives are absolutely continuous and the second derivatives belong to the usual Lebesgue space $L_{\infty}[a,\;b]$. A unified treatment of the special cases is also given.

• Journal of applied mathematics & informatics
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• v.36 no.1_2
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• pp.107-114
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• 2018

We establish some new ostrowski type inequalities for MT-convex function including first order derivative via Niemann-Trouvaille fractional integral. It is interesting to mention that our results provide new estimates on these types of integral inequalities for MT-convex functions.

• Journal of the Korean Mathematical Society
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• v.45 no.2
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• pp.331-353
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• 2008

Some new nonlinear retarded integral inequalities of Gronwall-like type are established, which mainly generalized some results given by Cho, Dragomir and Kim (J. Korean Math. Soc. 43 (2006), No.3, pp. 563-578) and can be used in the analysis of various problems in the theory of certain classes of differential equations and integral equations. Applications examples are also indicated.

• Asian Pacific Journal of Cancer Prevention
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• v.14 no.6
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• pp.3411-3417
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• 2013

Over the last 10 years, the number of cancer survivors in South Korea has reached nearly one million with a survival rate of 49.4%. However, integrated supportive care for cancer survivors is lagging. One area in which the current cancer control policy needs updating is in the utilization of information and communication technology (ICT). The remarkable progress in the field of ICT over the past 10 years presents exciting new opportunities for health promotion. Recent communication innovations are conducive to the exchange of meta-information, giving rise to a new service area and transforming patients into active medical consumers. Consequently, such innovations encourage active participation in the mutual utilization and sharing of high-quality information. However, these benefits from new ICTs will almost certainly not be equally available to all, leading to so-called communication inequalities where cancer survivors from lower socioeconomic classes will likely have more limited access to the best means of making use of the health information. Therefore, most essentially, emphasis must be placed on helping cancer survivors and their caregivers utilize such advances in ICT to create a more efficient flow of health information, thereby reducing communication inequalities and expanding social support. Once we enhance access to health information and better manage the quality of information, as a matter of fact, we can expect an alleviation of the health inequalities faced by cancer survivors.

• International Journal of Control, Automation, and Systems
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• v.5 no.6
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• pp.712-717
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• 2007

This paper is concerned with the problem of state feedback control of continuous-time nonlinear Markovian jump systems, which are represented by Takagi-Sugeno fuzzy models. A new method for designing state feedback stabilizing controllers is presented in terms of solvability of a set of linear matrix inequalities (LMIs), and it is shown that the new design method provides better or at least the same results of the existing method in the literature. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

• Journal of applied mathematics & informatics
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• v.26 no.1_2
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• pp.291-297
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• 2008

In this paper, new inequalities of Ostrowski type involving two functions and their derivatives for mapping whose derivations belong to $L^p$[a, b], p>1 are established.

• Journal of applied mathematics & informatics
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• v.26 no.5_6
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• pp.877-888
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• 2008

This paper deals with some new nonlinear delay and weakly singular integral inequalities of Gronwall-Bellman type. These results generalize the inequalities discussed by Xiang and Kuang [19]. Several other inequalities proved by $Medve{\check{d}}$ [15] and Ou-Iang [17] follow as special cases of this paper. This work can be used in the analysis of various problems in the theory of certain classes of differential equations, integral equations and evolution equations. A modification of the Ou-Iang type inequality with delay is also treated in this paper.