• East Asian mathematical journal
• /
• v.26 no.3
• /
• pp.351-363
• /
• 2010

We introduce a special class of real recurrent polynomials $f_m$$($m{\geq}1$) of degree m+1, with positive roots $s_m$, which are decreasing as m increases. The first root $s_1$, as well as the last one denoted by $s_{\infty}$ are expressed in closed form, and enclose all $s_m$ (m > 1). This technique is also used to find weaker than before [6] sufficient convergence conditions for some popular iterative processes converging to solutions of equations.

• Kyungpook Mathematical Journal
• /
• v.47 no.4
• /
• pp.495-500
• /
• 2007

The aim of this paper is to derive a fractional derivative of the multivariable H-function of Srivastava and Panda [7], associated with a general class of multivariable polynomials of Srivastava [4] and the generalized Lauricella functions of Srivastava and Daoust [9]. Certain special cases have also been discussed. The results derived here are of a very general nature and hence encompass several cases of interest hitherto scattered in the literature.

• Honam Mathematical Journal
• /
• v.8 no.1
• /
• pp.21-49
• /
• 1986

A class of singular quadratic control problem is considered. The state is governed by a higher order system of ordinary linear differential equations and very general nonstandard boundary conditions. These conditions in many important cases reduce to standard boundary conditions and because of the conditions the usual controllability condition is not needed. In the special case where the coefficient matrix of the control variable in the cost functional is a time-independent singular matrix, the corresponding optimal control law as well as the optimal controller are computed. The method of investigation is based on the theory of least-squares solutions of multi-valued operator equations.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.2
• /
• pp.407-418
• /
• 2019

In this paper, we study conformal transformations between special class of Finsler metrics named C-reducible metrics. This class includes Randers metrics in the form $F={\alpha}+{\beta}$ and Kropina metric in the form $F={\frac{{\alpha}^2}{\beta}}$. We prove that every conformal transformation between locally dually flat Randers metrics must be homothetic and also every conformal transformation between locally dually flat Kropina metrics must be homothetic.

• Journal of the Korean Mathematical Society
• /
• v.58 no.1
• /
• pp.173-205
• /
• 2021

The spherical buildings associated with absolutely simple algebraic groups of relative rank 2 are all Moufang polygons. Tits polygons are a more general class of geometric structures that includes Moufang polygons as a special case. Dagger-sharp Tits n-gons exist only for n = 3, 4, 6 and 8. Moufang octagons were classified by Tits. We show here that there are no dagger-sharp Tits octagons that are not Moufang. As part of the proof it is shown that the same conclusion holds for a certain class of dagger-sharp Tits quadrangles.

• The Pure and Applied Mathematics
• /
• v.29 no.4
• /
• pp.321-334
• /
• 2022

We introduce a special class of structured frames having single generators in finite dimensional Hilbert spaces. We call them as pseudo B-Gabor like frames and present a characterisation of the frame operators associated with these frames. The concept of Gabor semi-frames is also introduced and some significant properties of the associated semi-frame operators are discussed.

• Journal of Applied and Pure Mathematics
• /
• v.5 no.3_4
• /
• pp.223-236
• /
• 2023

In the present paper, we investigate the subordination and superordination implications for a class of certain nonlinear integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also presented. Further, we extend some results given earlier as special cases of the main results presented here.

• East Asian mathematical journal
• /
• v.40 no.1
• /
• pp.95-107
• /
• 2024

Let K be an imaginary quadratic field with ring of integers 𝓞_K and N be a positive integer. By K_(N) we mean the ray class field of K modulo N𝓞_K. In this paper, for each prime p of K relatively prime to N𝓞_K we explicitly describe the action of the Artin symbol (${\frac{K_{(N)}/K}{p}}$) on special values of modular functions of level N. Furthermore, we extend the Kronecker congruence relation for the elliptic modular function j to some modular functions of higher level.

• The Journal of the Korea Contents Association
• /
• v.22 no.2
• /
• pp.305-316
• /
• 2022

This study attempted to analyze the jobs of early childhood special education teachers working in kindergarten's special classes using the DACUM technique. To this end, the DACUM Committee was formed with six early childhood special education teachers with extensive field experience. A total of six DACUM workshops were conducted to derive job definition, job descriptions, and job specifications. As a result, the job description of early childhood special education teachers consisted of 9 duties and 53 tasks, and the job specification consisted of 80 knowledge, 98 skills, and 22 attitudes. Early childhood special education teachers working in kindergarten's special classes were tasks differentiated from special education teachers working in elementary and secondary school including home-linked guidance, health and safety management, elementary school transfer guidance, environmental composition according to play topics, and indoor and outdoor play activities guidance. In the case of knowledge, the Special Education Act on the Disabled, etc. and knowledge on behavioral modification took precedence. Skill showed high frequency of observation-record, parental interviews and parental education skills. Attitudes as experts and administrators took priority. The results of this job analysis can help organize a curriculum to train early childhood special education teachers with high job competency in universities.

• Proceedings of the Korean Institute of IIIuminating and Electrical Installation Engineers Conference
• /
• 2004.11a
• /
• pp.293-295
• /
• 2004

Public utilities adopt the grounding rules ; class I, class II, class III and special class III, and install the grounding electrodes in distribution facilities. To keep the safety of the human and the facilities, Public utilities also manage the value of ground resistance in distribution system biennially. At present the Hook-On meter is normally used to measure the ground resistance although it has ${\pm}5[%]$ measuring error and it can not measure the exact value when the current is over 1[A]. In addition it is very difficult to use the fall-of-potential method in distribution system. In this paper we propose the new measurement method using ground current of distribution system as the current source.