• 농촌계획
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• 제20권3호
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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.

• 호남수학학술지
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• 제39권4호
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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.

• 호남수학학술지
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• 제45권4호
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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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• 제46권4호
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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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• 제39권5_6호
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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.

• 한국인구학
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• 제18권2호
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• pp.98-114
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• 1995

이 연구는 급격한 변동을 겪어 온 한국사회에서 도시화가 어떻게 이루어지고 있고 도시인구의 분포의 측면에서 불평등이 어떻게 이루어져 있는지를 살펴보고 있다. 이 연구결과 1966-70년 사이에 급격히 이루어진 도시화의 성격이 부각되었고, 또 도농간의 성장속도의 차이도 아주 높았음이 드러났다. 무엇보다도 서울의 수위도시성이 명백히 드러났다. 하지만 서울의 수위도시성은 1970년이래 서서히 감소되기 시작했고, 불평등지수인 지니계수를 통해 검증한 결과 1970년에 비해 1990년의 도시인구분포의 불평등성은 완화된 것으로 보이나, 여전히 큰 불평등이 존재하고 있다.

• Kyungpook Mathematical Journal
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• 제59권3호
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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.

• 호남수학학술지
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• 제40권4호
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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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• 제64권1호
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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.

• 호남수학학술지
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• 제21권1호
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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 $G_{k}[A,\;B]$.