• Korean Journal of Mathematics
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• v.24 no.2
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• pp.297-305
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• 2016

In this paper, by using fixed point theorem, we obtain the stability of the following functional equations $$f(pr,qs)+g(ps,qr)={\theta}(p,q,r,s)f(p,q)h(r,s)\\f(pr,qs)+g(ps,qr)={\theta}(p,q,r,s)g(p,q)h(r,s)$$, where G is a commutative semigroup, ${\theta}:G^4{\rightarrow}{\mathbb{R}}_k$ a function and f, g, h are functionals on $G^2$.

• Journal of Korean Academy of Fundamentals of Nursing
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• v.17 no.3
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• pp.419-426
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• 2010

Purpose: Women's weight perception and obesity-related quality of life were analyzed according to BMI (Body Mass Index). Methods: A survey was conducted using self-report questionnaires from 178 participants. The data analysis included descriptive statistics, frequency, percentage, t-test, ANOVA, Fisher's exact test and Kendall's tau using the SPSS version 14.0. Results: There were significant differences in BMI according to age (F=8.037, p=<.001), weight perception (F=60.71, p<.001), weight control experience (F=2.504, p=.013), weight control method (F=5.839, p=.001) and weight control success (F=-2.451, p=.016). There was a significant difference in obesity-related quality of life according to weight perception in the low weight group (F=5.587, p=.021) and in the obesity group (t=3.419, p=.003). Higher correlations were found between the women's BMI group, weight perception and obesity-related quality of life. Conclusion: A program to provide appropriate information for weight perception is needed for the low weight group. There is a need for a program about weight reduction as well as weight perception for the obesity group.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.4
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• pp.315-327
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• 2022

In this paper, we investigate the transferred superstability for the p-radical sine functional equation $$f\(\sqrt[p]{\frac{x^p+y^p}{2}}\)^2-f\(\sqrt[p]{\frac{x^p-y^p}{2}}\)^2=f(x)f(y)$$ from the p-radical functional equations: $$f({\sqrt[p]{x^p+y^p}})+f({\sqrt[p]{x^p-y^p}})={\lambda}g(x)g(y),\;\\f({\sqrt[p]{x^p+y^p}})+f({\sqrt[p]{x^p-y^p}})={\lambda}g(x)h(y),$$ where p is an odd positive integer, λ is a positive real number, and f is a complex valued function. Furthermore, the results are extended to Banach algebras. Therefore, the obtained result will be forced to the pre-results(p=1) for this type's equations, and will serve as a sample to apply it to the extension of the other known equations.

• Bulletin of the Korean Mathematical Society
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• v.36 no.2
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• pp.287-303
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• 1999

The general solution of the functional equation f1(pr, qs) + f2(ps, qr) = g(p,q) + h(r,s) for p, q, r, s $\in$] 0, 1[will be investigated without any regularity assumptions on the unknown functions f1, f2, g, h:]0.1[->R.

• The Journal of the Korea Contents Association
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• v.19 no.2
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• pp.393-408
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• 2019

Purpose: This descriptive study was to examine death anxiety and quality of life for the elderly living alone. Methods: The participants were 289 elderly who were living alone in D metropolitan city. Data were analyzed with number, percentage, mean(SD), Pearson's correlation, t-test, ANOVA, multiple regression analysis using SPSS/Win 25.0. Results: The participants' death anxiety was 66.85 and quality of life was 58.21. Death anxiety was significantly different by age(F=153.240, p<.001), gender(t=-4.615, p<.001), education(F=263.559, p<.001), current occupation(F=46.324, p<.001), religion(F=693.729, p<.001), relationship with children(F=178.506, p<.001), reasons living alone(F=21.143, p<.001), perceived health status(F=113.300, p<.001), perceived socioeconomic status(F=45.829, p<.001), barriers to managing health problems(F=49.706, p<.001). There was a significant negative correlation between participants' death anxiety and quality of life(r=-.87, p<.001). Conclusion: The results of the study will be used to develop nursing intervention protocol and social support programs for the elderly living alone in the community.

• Communications of the Korean Mathematical Society
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• v.17 no.3
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• pp.383-387
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• 2002

Let p be an odd prime, and let f($\varkappa$) be the interpolating polynomial associated with a table of data points (j+1, (equation omitted) ) for 0$\leq$j$\leq$p. In this article, we find congruence identities modulo p of (p-1)!f($\varkappa$), (p-2)!f($\varkappa$), and (p-3)!f($\varkappa$). Moreover we present some conjectures of these types.

• Journal of the Chungcheong Mathematical Society
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• v.33 no.1
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• pp.147-156
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• 2020

The functional equation related to a distance measure f(pr, qs) + f(ps, qr) = M(r, s)f(p, q) + M(p, q)f(r, s) can be generalized a sum form functional equation as follows $${\frac{1}{n}}{\sum\limits_{i=0}^{n-1}}f(P{\cdot}{\sigma}_i(Q))=M(Q)f(P)+M(P)f(Q)$$ where f, g is information measures, P and Q are the set of n-array discrete measure, and σ_i is a permutation for each i = 0, 1, ⋯, n-1. In this paper, we obtain the hyperstability of the above type functional equation.

• Communications of the Korean Mathematical Society
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• v.27 no.1
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• pp.77-95
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• 2012

For a bounded linear operator T we prove the following assertions: (a) If T is algebraically (p, k)-quasihyponormal, then T is a-isoloid, polaroid, reguloid and a-polaroid. (b) If $T^*$ is algebraically (p, k)-quasihyponormal, then a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$, where $Hol({\sigma}(T))$ is the space of all functions that analytic in an open neighborhoods of ${\sigma}(T)$ of T. (c) If $T^*$ is algebraically (p, k)-quasihyponormal, then generalized a-Weyl's theorem holds for f(T) for every $f{\in}Hol({\sigma}T))$. (d) If T is a (p, k)-quasihyponormal operator, then the spectral mapping theorem holds for semi-B-essential approximate point spectrum $\sigma_{SBF_+^-}(T)$, and for left Drazin spectrum ${\sigma}_{lD}(T)$ for every $f{\in}Hol({\sigma}T))$.

• Bulletin of the Korean Mathematical Society
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• v.51 no.6
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• pp.1829-1839
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• 2014

Let (${\Omega}$, $\mathcal{S}$, ${\mu}$) be a probabilistic measure space, ${\varepsilon}{\in}\mathbb{R}$, ${\delta}{\geq}0$, p > 0 be given numbers and let $P{\subset}\mathbb{R}$ be an open interval. We consider a class of functions $f:P{\rightarrow}\mathbb{R}$, satisfying the inequality $$f(EX){\leq}E(f{\circ}X)+{\varepsilon}E({\mid}X-EX{\mid}^p)+{\delta}$$ for each $\mathcal{S}$-measurable simple function $X:{\Omega}{\rightarrow}P$. We show that if additionally the set of values of ${\mu}$ is equal to [0, 1] then $f:P{\rightarrow}\mathbb{R}$ satisfies the above condition if and only if $$f(tx+(1-t)y){\leq}tf(x)+(1-t)f(y)+{\varepsilon}[(1-t)^pt+t^p(1-t)]{\mid}x-y{\mid}^p+{\delta}$$ for $x,y{\in}P$, $t{\in}[0,1]$. We also prove some basic properties of such functions, e.g. the existence of subdifferentials, Hermite-Hadamard inequality.

• Research in Community and Public Health Nursing
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• v.5 no.1
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• pp.64-80
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• 1994

The purpose of this study was to identify factors affecting family caregiver burden, and to identify the relationship between family caregiver burden and family function /self-care of psychiatric out-patient. These data were collected by questionnaire from September 20 to October 8, 1993. The subjects were 285 family caregiver of psychiatric out-patients. The instruments used in this study were Caregiver Burden Inventory(CBI) by Novak(1989), self-care performing by Yu(1992), and Family APGAR by Smilkstein(1979). The data were analyzed by cronbach's $\alpha$, mean, standard deviation, percentage, t-test, ANOVA, Pearson's correlation coefficient, and Stepwise Multiple Regression with SPSS /pc+ program. The result of this study were as follows ; 1. The means of family caregiver Burden revealed total 2.00, Time-Dependence Burden 78, developmental Burden 2.22, physical Burden 1.90, social Burden 1.43, emotional Burden 2.18, financial Burden 1.51. family caregiver burden score showed moderate level. time-dependence burden showed the highest score and social burden showed the lowest score. 2. The means of family function revealed total 5.67. 7 through high-21.4% (61), low through 3-38.6%(110). family function score showed moderate level. 3. The means of patient's self-care performance revealed total 137.71. self-care performance showed moderate level. 4. A ststistically significant correlation between family caregiver burden and patient's demographic variables, age (F=3.83, p<.01), marrital status(F=3.50, p<.01), job(F=3.17, p<.01), diagnosis(F=4.46, p<.01), income (F=4.46, p<.01). No significant differences between family caregiver burden and prevalent period, religion, sex (p>.05). S. A ststistically significant correlation between family caregiver burden and family's demographic variables, age (F=7.34, p<.01), sex(t=-2.63, p<.01), education level(F=7.61, p<.01), income (F=8.13, p<.01), relation with patient (F=6.92, p<.01), job(F=2.03, p<.05), medical service (F=3.89, p<.05), presence of chronically ill without patient(t=-2.01, p<.05) 6. Family function was the highest factor predicting family caregiver burden(R=.4168, $R^2=.1737$), low education level of family, patient's self-care, family income accounted for 36% in family caregiver burden.