• 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 applied mathematics & informatics
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• v.29 no.1_2
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• pp.61-74
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• 2011

In this paper, we introduce a new iteration method based on the hybrid method in mathematical programming and the descent-like method for finding a common element of the solution set for a variational inequality and the set of common fixed points of a nonexpansive semigroup in Hilbert spaces. We obtain a strong convergence for the sequence generated by our method in Hilbert spaces. The result in this paper modifies and improves some well-known results in the literature for a more general problem.

• Journal of applied mathematics & informatics
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• v.28 no.3_4
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• pp.823-835
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• 2010

In this paper, A FSQP algorithm for degenerate inequality constraints optimization problems is proposed. At each iteration of the proposed algorithm, a feasible direction of descent is obtained by solving a quadratic programming subproblem. To overcome the Maratos effect, a higher-order correction direction is obtained by solving another quadratic programming subproblem. The algorithm is proved to be globally convergent and superlinearly convergent under some mild conditions. Finally, some preliminary numerical results are reported.

• Journal of applied mathematics & informatics
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• v.9 no.1
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• pp.45-60
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• 2002

Some error estimates in terms of the p-norms of the fourth derivative for the remainder in a perturbed trapezoid formula are given. Applications for the expectation of a random variable and the Hermite-Hadamard divergence in Information Theory are also pointed out.

• Proceedings of the IEEK Conference
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• 2001.06e
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• pp.29-32
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• 2001

This paper presents matrix inequality conditions for H$_2$optimal control of linear time-invariant descriptor systems in continuous and discrete time cases, respectively. First, the necessary and sufficient condition for H$_2$control and H$_2$controller design method are expressed in terms of LMls(linear matrix inequalities) with no equality constraints in continuous time case. Next, the sufficient condition for H$_2$control and H$_2$controller design method are proposed by matrix inequality approach in discrete time case. A numerical example is given in each case.

• Journal of applied mathematics & informatics
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• v.24 no.1_2
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• pp.179-190
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• 2007

In this paper, we consider the general variational inequality GVI(F, g, C), where F and g are mappings from a Hilbert space into itself and C is the fixed point set of a nonexpansive mapping. We suggest and analyze a new modified hybrid steepest-descent method of type method $u_{n+l}=(1-{\alpha}+{\theta}_{n+1})Tu_n+{\alpha}u_n-{\theta}_{n+1g}(Tu_n)-{\lambda}_{n+1}{\mu}F(Tu_n),\;n{\geq}0$. for solving the general variational inequalities. The sequence $\{x_n}\$ is shown to converge in norm to the solutions of the general variational inequality GVI(F, g, C) under some mild conditions. Application to constrained generalized pseudo-inverse is included. Results proved in the paper can be viewed as an refinement and improvement of previously known results.

• Journal of Information Technology Applications and Management
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• v.29 no.4
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• pp.17-33
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• 2022

This study measures the internal and external competitiveness of 35 OECD countries in the insurance industry. We analyze whether variables related to the Fourth Industrial Revolution affect international competitiveness by applying a nonlinear autoregressive distributed lag model. As a result, the competitiveness of life insurance foreign companies in internal is showing positive responses in high income inequality countries. In addition, insurance companies in countries with low income inequality have shown high performance in external. The non-life insurance industry is less sensitive to shocks than life insurance. This is because non-life insurance is a more dangerous industry than life insurance and there are many restrictions on policies and regulations. The reason is that non-life insurance is a more dangerous industry than life insurance and there are many restrictions on policies and regulations.

• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.487-510
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• 2023

We propose a mathematical model which describes the frictional contact between a piezoelectric body and an electrically conductive foundation. The behavior of the material is described with a linearly electro-viscoelastic constitutive law with long term memory. The mechanical process is dynamic and the electrical conductivity coefficient depends on the total slip rate, the friction is modeled with Tresca's law which the friction bound depends on the total slip rate with taking into account the electrical conductivity of the foundation both. The main results of this paper concern the existence and uniqueness of the weak solution of the model; the proof is based on results for second order evolution variational inequalities with a time-dependent hemivariational inequality in Banach spaces.

• International Commerce and Information Review
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• v.16 no.4
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• pp.151-167
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• 2014

The aim of this study is to examine the relationship between globalization and income distribution in Korea. In order to identify the key determinants, the study investigates the effects of trade openness, inward and outward FDI flows, and per capita GDP on income distribution. The study uses methodology of unit root and co-integration technique as well as an error correction model over 1992 to 2011 by using annual data. The empirical findings showed that income inequality is reduced as trade openness and the per capita GDP increase. Meanwhile, income inequality is deteriorated as inward and outward FDI flows increased. In addition, the study revealed that the negative effect of inward FDI flows on income inequality is greater than that of outward FDI flows. This result supports the Feenstra and Hanson (1997) hypothesis. Overall the globalization process can be beneficial for the Korean economy, but its nature should be closely monitored regarding income distribution.

• Journal of Preventive Medicine and Public Health
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• v.50 no.3
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• pp.201-209
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• 2017

Objectives: The aim of this study was to assess the socioeconomic inequality in malnutrition in under-5 children in Iran in order to help policymakers reduce such inequality. Methods: Data on 8443 under-5 children were extracted from the Iran Multiple Indicator Demographic and Health Survey. The wealth index was used as proxy for socioeconomic status. Socioeconomic inequality in stunting, underweight, and wasting was calculated using the concentration index. The concentration index was calculated for the whole sample, as well as for subcategories defined in terms of categories such as area of residence (urban and rural) and the sex of children. Results: Stunting was observed to be more prevalent than underweight or wasting. The results of the concentration index at the national level, as well as in rural and urban areas and in terms of children's sex, showed that inequality in stunting and underweight was statistically significant and that children in the lower quintiles were more malnourished. The wasting index was not sensitive to socioeconomic status, and its concentration index value was not statistically significant. Conclusions: This study showed that it can be misleading to assess the mean levels of malnutrition at the national level without knowledge of the distribution of malnutrition among socioeconomic groups. Significant socioeconomic inequalities in stunting and underweight were observed at the national level and in both urban and rural areas. Regarding the influence of nutrition on the health and economic well-being of preschool-aged children, it is necessary for the government to focus on taking targeted measures to reduce malnutrition and to focus on poorer groups within society who bear a greater burden of malnutrition.