• Journal of Korean Society of Rural Planning
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• v.20 no.3
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• pp.11-20
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• 2014

This research aims to identify regional inequitable development through the analysis of facilities distribution pattern. This study describes the concepts underlying the application of the Gini's coefficient and decomposition method to measure the regional inequitable development in Sun-chang County, Jeonbuk Province, Korea. We used the facility data surveyed for three years, from 2010 to 2012 for facility distribution pattern that RDA surveyed. These data have been serviced on the web. The Lorenz Curve presents a graphical view of the inequitable facility distribution and the Gini's Coefficients quantifies the distribution pattern. And furthermore, Gini Decomposition represents intra regional inequalities. These applied techniques can describe how the local development affects other district and change regional inequalities.

• Honam Mathematical Journal
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• v.39 no.4
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• pp.591-601
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• 2017

In this paper, by means of the $S{\breve{a}}l{\breve{a}}gean$ operator, we introduce a new subclass $\mathcal{B}^{m,n}_{\Sigma}({\gamma};{\varphi})$ of analytic and bi-univalent functions in the open unit disk $\mathbb{U}$. For functions belonging to this class, we consider Fekete-$Szeg{\ddot{o}}$ inequalities.

• Honam Mathematical Journal
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• v.45 no.4
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• pp.689-700
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• 2023

In this note, we establish a new subfamily of spirallike functions by making use of a generalized q-integral operator. We examine characterization rule for functions which are member of this subclass. We further obtain coefficient estimate, subordination results and integral mean inequalities for functions in this class. The Fekete-Szegö inequalities are also derived.

• Kyungpook Mathematical Journal
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• v.46 no.4
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• pp.543-552
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• 2006

The purpose of the present paper is to introduce two novel subclasses $\mathcal{T}_{\mu}(n,{\lambda},{\alpha})$ and $\mathcal{H}_{\mu}(n,{\lambda},{\alpha};{\kappa})$ of analytic and univalent functions with negative coefficients, involving Ruscheweyh derivative operator. The various results investigated in this paper include coefficient estimates, distortion inequalities, radii of close-to-convexity, starlikenes, and convexity for the functions belonging to the class $\mathcal{T}_{\mu}(n,{\lambda},{\alpha})$. These results are then appropriately applied to derive similar geometrical properties for the other class $\mathcal{H}_{\mu}(n,{\lambda},{\alpha};{\kappa})$ of analytic and univalent functions. Relevant connections of these results with those in several earlier investigations are briefly indicated.

• Journal of applied mathematics & informatics
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• v.39 no.5_6
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• pp.725-742
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• 2021

The aim of this article is to estimate the coefficient bounds of certain subclasses of analytic functions. We claim that this is a novel and unique effort in combining the coefficient functional along with the new domains and the probability distributions which have not been found or are available in the literature of coefficients bounds. Here the authors analyze these bounds in the special domains associated with exponential function and sine function. Further we obtain Fekete-Szegö inequalities for the defined subclasses of analytic functions defined through Poisson distribution series and Pascal distribution series.

• Korea journal of population studies
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• v.18 no.2
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• pp.98-114
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• 1995

Since 1962 the Korean society has undergone a rapid transformation under government policies to achieve maximum economic growth. Urbanization via massive rural to urban migration has been observed to be connected with a rapid economic development. Based on the data from the government publications such as Population and Housing Census Reports and Korean Urban Yearbooks, this study measures inequalities in terms of the distribution of urban population. In a historical context, the pace of urbanization during the period 1966-1970 was characterized as the most rapid and the urban-rural growth difference(URGD), which is a valuable measure of the pace of urbanization, was the highest. In terms of regional pattern, Seoul dominated the urbanization picture of Korea during the period 1966-1970. Its annual growth rate was the fastest among those shown during the period 1960 to 1990 and also highest. However, Seoul's primacy was pulled down since 1970. The Gini coefficient, which is the most common general measure of inequalities in distribution, was the highest in 1980. Since 1980 it has continued to fall. As a result, it was lower in 1990 than in 1970. Despite lowering Gini coefficient, inequalities are still large. A concentration index also showed the same trends as those of Gini coefficent.

• Kyungpook Mathematical Journal
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• v.59 no.3
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• pp.481-491
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• 2019

In the present paper, we investigate the upper bounds on third order Hankel determinants for certain class of close-to-convex functions in the unit disk. Furthermore, we obtain estimates of the Zalcman coefficient functional for this class.

• Honam Mathematical Journal
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• v.40 no.4
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• pp.733-748
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• 2018

In this paper, we investigate a new subclass $S^{{\varphi},{\lambda}}_{{\Sigma}_m}$ of ${\Sigma}_m$ consisting of analytic and m-fold symmetric bi-univalent functions satisfying subordination in the open unit disk U. We consider the Fekete-$Szeg{\ddot{o}}$ inequalities for this class. Also, we establish estimates for the coefficients for this subclass and several related classes are also considered and connections to earlier known results are made.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.47-55
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• 2024

This paper introduces two new subclasses of analytical functions with negative coefficients and derives coefficient estimates for these novel subclasses. Further, inclusion relations and necessary and sufficient conditions for the Poisson distribution series to belong to these subclasses are established.

• Honam Mathematical Journal
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• v.21 no.1
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• pp.139-147
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• 1999

In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.