• 충청수학회지
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• 제26권3호
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• pp.441-451
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• 2013

In this paper, we derive recurrence relations for moments of lower generalized order statistics within a class of doubly truncated distributions. Inverse Weibull, exponentiated Weibull, power function, exponentiated Pareto, exponentiated gamma, generalized exponential, exponentiated log-logistic, generalized inverse Weibull, extended type I generalized logistic, logistic and Gumble distributions are given as illustrative examples. Further, recurrence relations for moments of order statistics and lower record values are obtained as special cases of the lower generalized order statistics, also two theorems for characterizing the general form of distribution based on single moments of lower generalized order statistics are given.

• 대한수학회논문집
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• 제33권2호
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• pp.485-494
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• 2018

In this paper some newly developed results based on the growth properties of relative order (relative lower order), relative type (relative lower type) and relative weak type of entire and meromorphic functions on the basis of integer translation applied upon them are investigated.

• 호남수학학술지
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• 제38권1호
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• pp.169-212
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• 2016

Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

• Korean Journal of Mathematics
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• 제28권1호
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• pp.149-157
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• 2020

Some basic properties in connection with generalized relative order and generalized relative lower order of analytic functions in the unit disc have been dicussed in this article.

• 대한수학회논문집
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• 제31권4호
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• pp.745-764
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• 2016

The object of the present paper is to obtain new estimates about the (p, q)-th lower order and (p, q)-th weak type of entire functions under some interesting conditions.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권3호
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• pp.193-201
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• 2018

In this paper, we discuss central index oriented and slowly changing function based some growth properties of composite entire functions.

• 대한기계학회논문집A
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• 제31권1호
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• pp.121-128
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• 2007

Enhanced lower order shear deformation theory is developed in this study. Generally, lower order theories are not adequate to predict accurate deformation and stress distribution through the thickness of laminated plate. For the accurate prediction of detailed stress and deformation distributions through the thickness, higher order zigzag theories have been proposed. However, in most cases, simplified zigzag higher order theory requires $C_1$, shape functions in finite element implementation. In commercial FE softwares, $C_1$, shape functions are not so common in plate and shell analysis. Thus zigzag theories are useful for the highly accurate prediction of thick composite behaviors but they are not practical in the sense that they cannot be used conveniently in the commercial package. In practice, iso-parametric $C_0$ plate model is the standard model for the analysis and design of composite laminated plates and shells. Thus in the present study, an enhanced lower order shear deformation theory is developed. The proposed theory requires only $C_0$ shape function in FE implementation. The least-squared energy error between the lower order theory and higher order theory is minimized. An enhanced lower order shear deformation theory(ELSDT) in this paper is proposed for smart structure under complex loadings. The ELSDT is constructed by the strain energy transformation and fully coupled mechanical, electric loading cases are studied. In order to obtain accurate prediction, zigzag in-plane displacement and transverse normal deformation are considered in the deformation Held. In the electric behavior, open-circuit condition as well as closed-circuit condition is considered. Through the numerous examples, the accuracy and robustness of present theory are demonstrated.

• Journal of applied mathematics & informatics
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• 제35권5_6호
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• pp.477-493
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• 2017

The dual generalized order statistics is a unified model which contains the well known decreasingly ordered random variables like order statistics and lower record values. With this definition we give simple expressions for single and product moments of dual generalized order statistics from Dagum distribution. The results for order statistics and lower records are deduced from the relations derived and some computational works are also carried out. Further, a characterizing result of this distribution on using the conditional moment of the dual generalized order statistics is discussed. These recurrence relations enable computation of the means, variances and covariances of all order statistics for all sample sizes in a simple and efficient manner. By using these relations, we tabulate the means, variances, skewness and kurtosis of order statistics and record values of the Dagum distribution.

• 대한수학회지
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• 제43권6호
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• pp.1253-1268
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• 2006

We develop the upper and lower solutions method for the four point problem relative to second order differential equations in order to obtain the existence of solution.

• 대한지리학회지
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• 제46권2호
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• pp.115-133
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• 2011

야마다의 산지차수구분법은 상향식으로 정의할 수 있는데, 이는 저차수 산지들이 모여 점차 차상위차수 산지를 이룸과 동시에 산지의 영역과 규모가 확대되기 때문이다. 하지만 산지를 총체적으로 이해하고 각종 산지 정보를 체계적으로 관리하기 위해서는, 특정 규모의 산지를 이루는데 기여한 차하위차수 산지만을 강조하는 야마다의 산지구분법에는 한계가 있다. 왜냐하면 상위차수 산지내에는 차하위차수 산지뿐만 아니라 독립된 차차하위, 차차차하위 산지도 포함되어 있기 때문이다. 이와 같은 문제점을 해결하기 위해 본 연구에서 제시된 산지분류법은 기본적으로 하향식이다. 여기서 하향식이란 최고위차수 산지를 구성하는 차하위차수 산지, 다시 이를 구성하는 차차하위차수 산지로 산지를 세분해나가 최종적으로 2차수 산지를 구성하고 있는 1차수 산지까지 분류해 나가는 것을 의미한다. 본 연구에서는 야마다 산지차수구분법을 근간으로 특정 산체를 구성하고 있는 모든 산지 요소를 체계적으로 분류하고 구분된 산지에 대한 새로운 명명법을 제시함으로써 산지정보의 종합적 체계적 관리를 위한 데이터베이스의 근간을 마련했다.