• Journal of applied mathematics & informatics
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• v.40 no.5_6
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• pp.873-882
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• 2022

In this paper, we construct the multiple (h, p, q)-Hurwitz-Euler eta function by generalizing the multiple Hurwitz-Euler eta function. We get some explicit formulas and properties of the higher-order (h, p, q)-Euler numbers and polynomials.

• Journal of the Korean Mathematical Society
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• v.54 no.2
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• pp.575-598
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• 2017

This paper introduces and studies a generalization of the classical Struve function of order p given by $$_aS_{p,c}(x):=\sum\limits_{k=0}^{\infty}\frac{(-c)^k}{{\Gamma}(ak+p+\frac{3}{2}){\Gamma}(k+\frac{3}{2})}(\frac{x}{2})^{2k+p+1}$$. Representation formulae are derived for $_aS_{p,c}$. Further the function $_aS_{p,c}$ is shown to be a solution of an (a + 1)-order differential equation. Monotonicity and log-convexity properties for the generalized Struve function $_aS_{p,c}$ are investigated, particulary for the case c = -1. As a consequence, $Tur{\acute{a}}n$-type inequalities are established. For a = 2 and c = -1, dominant and subordinant functions are obtained for the Struve function $_2S_{p,-1}$.

• Journal of applied mathematics & informatics
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• v.35 no.3_4
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• pp.303-311
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• 2017

In this paper we define (p, q)-analogue of Euler zeta function. In order to define (p, q)-analogue of Euler zeta function, we introduce the (p, q)-analogue of Euler numbers and polynomials by generalizing the Euler numbers and polynomials, Carlitz's type q-Euler numbers and polynomials. We also give some interesting properties, explicit formulas, a connection with (p, q)-analogue of Euler numbers and polynomials. Finally, we investigate the zeros of the (p, q)-analogue of Euler polynomials by using computer.

• Korean Journal of Mathematics
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• v.26 no.3
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• pp.405-424
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• 2018

In this paper we study some comparative growth properties of composite entire functions on the basis of relative (p, q)-th order and relative (p, q)-th lower order of entire function with respect to another entire function where p and q are any two positive integers.

• Journal of the Korean Society of School Health
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• v.18 no.1
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• pp.47-58
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• 2005

Purpose:　This study is a descriptive correlation survey with the purpose of identifying the relationship between family function and hope in adolescents. It was done to provide basic data for developing family centered nursing strategies to promote adolescents' hope. Methods: The subjects of this study were 1030 high school students in J city. Data were analyzed with SPSS 10.0 program. Frequencies and percentages were used to compare the subjects' general characteristics. Minimum values, maximum values, mean scores and mean grades were used to identify the level of family function and hope. Pearson's correlation coefficient was used to analyze the relationship between family function and hope in adolescents, and t-test, ANOVA, and Scheffe test were used to examine the level of family function and hope by general characteristics. Results:　1. The level of adolescents' family function ranged from 26 to 97, the mean score was 66.85$\pm$13.16, and the mean grade was 2.76$\pm$0.52. 2. The level of adolescents' hope ranged from 55 to 153, the mean score was 111.48$\pm$17.64 and the mean grade was 2.78$\pm$0.44.　3. It showed that there is a significantly positive correlation (r=0.546, p=.000) between adolescents' family function and hope. That is, the better family function adolescents have, the higher level of hope they have. 4. Adolescents' family function showed significant differences according to school record (F=6.363, p=.002), school life satisfaction (F=4.922, p=.007), father's education (F=2.640, p=.048), mother's education (F=3.586, p=.013) and domestic economy status(F=3.022, p=.049).　5. Adolescents' hope showed significant differences according to religion (t=2.018, p=.044), school type (t=2.567, p=.010), school record (F=9.712, p=.000), school life satisfaction (F=11.367, p=.000), father's education (F=4.632, p=.003), mother's education (F=4.709, p=.003), domestic economy status (F=4.235, p=.015), relationship with friends (F=8.187, p=.000), and subjective health condition (F=5.490, p=.001). Conclusion: First, in order to improve adolescents' family function, which encourages hope in adolescents, it is necessary to develop nursing interventions and to make further studies.　Second, it is necessary to develop instruments for improving Korean adolescents' family function and hope. Third, further studies are required to improve adolescents' family function and hope in special situations such as disease, drug abuse and juvenile delinquent.

• Communications of the Korean Mathematical Society
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• v.30 no.1
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• pp.7-21
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• 2015

We give the characterization of H$\ddot{o}$lder differentiability points and non-differentiability points of the Riesz-N$\acute{a}$gy-Tak$\acute{a}$cs (RNT) singular function ${\Psi}_{a,p}$ satisfying ${\Psi}_{a,p}(a)=p$. It generalizes recent multifractal and metric number theoretical results associated with the RNT function. Besides, we classify the singular functions using the singularity order deduced from the H$\ddot{o}$lder derivative giving the information that a strictly increasing smooth function having a positive derivative Lebesgue almost everywhere has the singularity order 1 and the RNT function ${\Psi}_{a,p}$ has the singularity order $g(a,p)=\frac{a{\log}p+(1-a){\log}(1-p)}{a{\log}a+(1-a){\log}(1-a)}{\geq}1$.

• Journal of Korean Academy of Nursing
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• v.27 no.1
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• pp.36-48
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• 1997

This survey was performed to evaluate and compare cognitive function, self-esteem and depression in the elderly related to aging. The data were collected from 200 elders in eight homes for the elderly in Taegu. Data collection was done from June 1 to 31, 1996. The scale used to measure cognitive function was the MMSE-K(Mini-Mental State Examination-Korea), Self-esteem was measmed using Rosenberg's self-esteem scale and depression using SDS(Self-rating Depression Scale). A comparison of cognitive function, self-esteem and depression by aging were summarised as follows : 1. There were significant differences on the cognitive function score in the elderly according to age group(F=24.81, P<.01). 2. There were significant differences on the self-esteem score in the elderly according to age group(F=3.84, P<.5). 3. There were significant differences on the depression score in the elderly according to age group (F=5.90, P<.1). 4. The general characteristics which affected the cognitive function scores of the elders were sex (F=8.45, P<.5), educational level(F=8.86, P<.5), spousing(F=34.59. P<.01), and the perception of health(F=4.63, P<.5). 5. The general characteristic which affected the self-esteem scores of the elders was the perception of health(F=3.81. P<.5). 6. The general characteristic which affected the depression scores was the educational level(F=3.96, P<.5).

• The Pure and Applied Mathematics
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• v.26 no.1
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• pp.13-33
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• 2019

The main aim of this paper is to establish some comparative growth properties of composite entire functions on the basis of their relative (p, q)-th order, relative (p, q)-th lower order, relative (p, q)-th type, relative (p, q)-th weak type of entire function with respect to another entire function where p and q are any two positive integers.

• 한국노년학
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• v.37 no.4
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• pp.909-924
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• 2017

The purpose of this study was to identify the impact of chewing ability on cognitive function of older people in Korea and the mediation effect of physical function and depression using the nationwide data from "Survey of the Living Conditions and Welfare Needs of Korean Older Persons in 2014", in Korea. This study was conducted on a total of 10,451 respondents in the "Survey of the Living Conditions and Welfare Needs of Korean Older Persons in 2014" and the data collection period was from June 11, to September 4, 2014. Chewing ability was used in the scale on level of daily life inconvenience in chewing ability (meat or hardness). Cognitive function was measured using MMSE-DS, physical function using K-IADL, and depression using SGDS-K. The data were analyzed using the SPSS 24.0 program and Process Macro. Total effects of chewing ability on cognitive function were not significant(p>.05). Direct effects of chewing ability on cognitive function were not significant(p>.05). There were the dual mediation effect(p<.05) of physical function and depression, a complete mediating effect by physical function(p<.05) or depression(p<.05) in the impact of chewing ability on cognitive function of older people in Korea. These results indicate that physical function and depression effect directly and indirectly in the impact of chewing ability on cognitive function of older people. In conclusion, it is suggested that to prevent the decline of cognitive function in older people, it is necessary to consider not only nursing strategies for strengthening chewing ability and physical function, but also nursing interventions for relieving or preventing depression in older people.

• Bulletin of the Korean Mathematical Society
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• v.36 no.1
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• pp.171-181
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• 1999

In this note, we will prove that the operator-valued function space integral as an operator from $L_p\;to\;L_{p'}$ (1