• Nonlinear Functional Analysis and Applications
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• 제26권2호
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• pp.331-345
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• 2021

Let p(z)be a polynomial of degree n. Then Bernstein's inequality [12,18] is $${\max\limits_{{\mid}z{\mid}=1}}\;{\mid}p^{\prime}(z){\mid}\;{\leq}\;n\;{\max_{{\mid}z{\mid}=1}{\mid}(z){\mid}}$$. For q > 0, we denote $${\parallel}p{\parallel}_q=\{{\frac{1}{2{\pi}}}{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{0}}^{2{\pi}}}\;{\mid}p(e^{i{\theta}}){\mid}^qd{\theta}\}^{\frac{1}{q}}$$, and a well-known fact from analysis [17] gives $${{\lim_{q{\rightarrow}{{\infty}}}}\{{\frac{1}{2{\pi}}}{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{0}}^{2{\pi}}}\;{\mid}p(e^{i{\theta}}){\mid}^qd{\theta}\}^{\frac{1}{q}}={\max\limits_{{\mid}z{\mid}=1}}\;{\mid}p(z){\mid}$$. Above Bernstein's inequality was extended by Zygmund [19] into L^q norm by proving ║p'║_q ≤ n║p║_q, q ≥ 1. Let p(z) = a₀ + ∑ⁿ_𝜈=𝜇 a_𝜈z^𝜈, 1 ≤ 𝜇 ≤ n, be a polynomial of degree n having no zero in |z| < k, k ≥ 1. Then for 0 < r ≤ R ≤ k, Aziz and Zargar [4] proved $${\max\limits_{{\mid}z{\mid}=R}}\;{\mid}p^{\prime}(z){\mid}\;{\leq}\;{\frac{nR^{{\mu}-1}(R^{\mu}+k^{\mu})^{{\frac{n}{\mu}}-1}}{(r^{\mu}+k^{\mu})^{\frac{n}{\mu}}}\;{\max\limits_{{\mid}z{\mid}=r}}\;{\mid}p(z){\mid}}$$. In this paper, we obtain the L^q version of the above inequality for q > 0. Further, we extend a result of Aziz and Shah [3] into L^q analogue for q > 0. Our results not only extend some known polynomial inequalities, but also reduce to some interesting results as particular cases.

• Investigative Magnetic Resonance Imaging
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• 제21권3호
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• pp.154-161
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• 2017

Purpose: To evaluate the diagnostic performance of diffusion-weighted steady-state free precession (DW-SSFP) in comparison to diffusion-weighted echo-planar imaging (DW-EPI) for differentiating the neoplastic and benign osteoporotic vertebral compression fractures. Materials and Methods: The subjects were 40 patients with recent vertebral compression fractures but no history of vertebroplasty, spine operation, or chemotherapy. They had received 3-Tesla (T) spine magnetic resonance imaging (MRI), including both DW-SSFP and DW-EPI sequences. The 40 patients included 20 with neoplastic vertebral fracture and 20 with benign osteoporotic vertebral fracture. In each fracture lesion, we obtained the signal intensity normalized by the signal intensity of normal bone marrow (SI norm) on DW-SSFP and the apparent diffusion coefficient (ADC) on DW-EPI. The correlation between the SI norm and the ADC in each lesion was analyzed using linear regression. The optimal cut-off values for the diagnosis of neoplastic fracture were determined in each sequence using Youden's J statistics and receiver operating characteristic curve analyses. Results: In the neoplastic fracture, the median SI norm on DW-SSFP was higher and the median ADC on DW-EPI was lower than the benign osteoporotic fracture (5.24 vs. 1.30, P = 0.032, and 0.86 vs. 1.48, P = 0.041, respectively). Inverse linear correlations were evident between SI norm and ADC in both neoplastic and benign osteoporotic fractures (r = -0.45 and -0.61, respectively). The optimal cut-off values for diagnosis of neoplastic fracture were SI norm of 3.0 in DW-SSFP with the sensitivity and specificity of 90.4% (95% confidence interval [CI]: 81.0-99.0) and 95.3% (95% CI: 90.0-100.0), respectively, and ADC of 1.3 in DW-EPI with the sensitivity and specificity of 90.5% (95% CI: 80.0-100.0) and 70.4% (95% CI: 60.0-80.0), respectively. Conclusion: In 3-T MRI, DW-SSFP has comparable sensitivity and specificity to DW-EPI in differentiating the neoplastic vertebral fracture from the benign osteoporotic vertebral fracture.

• Journal of Haehwa Medicine
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• 제22권2호
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• pp.81-92
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• 2014

Objective : The purpose of this study was to assess the effects of Cyperus rotundus L. essential oil on relaxation in highly stressed volunteers with heart rate variability(HRV) and electroencephalography(EEG). Methods : 11 highly stressed volunteers participated in this study. The volunteers were examined with HRV and EEG before and after inhalation of Cyperus rotundus L. essential oil. Results : After smelling Cyperus rotundus L. essential oil, mean RR(mean of RR intervals) was incresed significantly(p<0.01), mean HRV(mean of heart rate), HF(high frequency) were decreased significantly(p<0.01). norm LF(low frequency), LF/HF ratio were decreased significantly(p<0.05), norm HF(normalized high frequency) was increased significantly(p<0.05) on HRV. After smelling Cyperus rotundus L. essential oil, relative ${\theta}$ power was decreased significantly(p<0.05) at P3(left parietal) and relative ${\alpha}$ power was increased significantly(p<0.05) at Fp1(left prefrontal), Fp2(right prefrontal) and relative ${\beta}$ power was decreased significantly(p<0.05) at Fp1(left prefrontal) and relative ${\gamma}$ power was decreased significantly(p<0.05) at Fp1(left prefrontal) on EEG. Conclusions : This results show that inhalation of Cyperus rotundus L. essential oil effects on relaxation and decreasing stress.

• Bulletin of the Korean Mathematical Society
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• 제52권1호
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• pp.173-182
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• 2015

In this paper, the blow-up rate of $L^2$-norm for the semi-linear wave equation with a power nonlinearity is obtained in the bounded domain for any p > 1. We also get the blow-up rate of the derivative under the condition 1 < p < $1+\frac{4}{N-1}$ for $N{\geq}2$ or 1 < p < 5 for N = 1.

• Journal of the Chungcheong Mathematical Society
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• 제25권2호
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• pp.319-329
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• 2012

For a norm 1 function ${\sigma}$ in the Fourier-Stieltjes algebra of a locally compact group we define the space of ${\sigma}$-harmonic operators in the non-commutative $L^p$-space associated to the group von Neumann algebra of G. We will investigate some properties of the space and will obtain a precise description of it.

• Women's Health Nursing
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• 제17권1호
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• pp.77-87
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• 2011

Purpose: This study aimed to identify differences in contraception behavior and related factors between unmarried female and male. Methods: A cross-sectional survey design with a convenient sampling was used. From Seoul, 107 women and 96 men were recruited. A structured questionnaire was self-administered from July 14, 2008 to September 2, 2008. Results: The average ages of women and men were 26.9 and 27.8 years old, respectively. Fiftysix percent of women and 85.4% of men have experienced sexual intercourse. There were no differences between female and male in attitude toward contraception, subjective norm, and contraception behavior, while female had higher score of self-efficacy for contraception (p=.02) and intention of contraception (p=.02). There was positive correlation with subjective norm (r=.22, p<.05), self-efficacy (r=.53, p<.01) in male and attitude (r=.32, p<.05), selfefficacy (r=49, p<.01) in female. According to the result of multiple regression, the significant factor of contraception behavior was self-efficacy for both female (${\beta}$=.49, p=.00) and male (${\beta}$=.53, p=.00). Conclusion: To improve contraception behavior for unmarried female and male, it is necessary to develop proper sex education program to enhance self-efficacy for contraception. Adjusted education program by this result will contribute to increase sexual health for female and male.

• Journal of Oriental Neuropsychiatry
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• 제20권2호
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• pp.85-99
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• 2009

Objectives : This study aimed to understand the influence of acupuncture on the human body by comparing changes within human bodies before and after people in normal health are treated with acupuncture at the acupoints HT7 and PC9, which are related to mental functions. Methods : The study was performed from January 3, 2008 to March 5, 2008 on 60 healthy males and females in their 20s. HRV, EEG, skin conductance response, respiration and peripheral skin temperature were measured for 5 minutes before acupuncture simulation was applied to the acupoints HT7 and PC9. During 20 minutes of acupuncture treatment, the same items were continuously measured to determine whether there had been any changes, and they were then measured for 5 minutes after the removal of the acupuncture needles in order to implement a comparative analysis. Results : 1. The HRV measurement showed that in the course of before, during and after acupuncture stimulation, heart rate, HF and HF norm decreased significantly (P<0.05) at HT7. LF, LF norm, and LF/HF ratio increased significantly (P>0.05), while heart rate, HF and HF norm decreased significantly (P<0.05) at PC9. 2. Skin conductance response increased significantly (P<0.05) at PC9 during and after the acupuncture simulation periods, compared with the pre acupuncture period. 3. the peripheral skin temperature increased significantly (P<0.05) both at HT7 and PC9 in the course of before, during and after acupuncture stimulation. 4. Compared with the pre-acupuncture period, respiration rate increased both at HT7 and at PC9 during and after the acupuncture simulation periods, but not in a statistically significance. 5. In the EEG measurement, when compared with the pre-acupuncture period at HT7, mid ${\beta}$ wave decreased significantly (P<0.05) during acupuncture treatment. Compared with the measurements during acupuncture treatment at PC9, low ${\beta}$ wave increased significantly (P<0.05) after the acupuncture needles were removed. Conclusions : When acupuncture treatment is applied at the acupoints HT7 and PC9, the activation of parasympathetic nerves decreases and the activation of sympathetic nerves increases in the HRV measurement. It was determined that PC9 makes the sympathetic nerves become highly activated in a skin conduction response. The effect of stability in the brain wave seemed to bo shown at HT7 than PC9.

• Journal of dental hygiene science
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• 제9권5호
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• pp.579-586
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• 2009

Prior to the start of the general oral examination, this study was performed using the theory of planned behavior to provide data that would help not only increase intention of industrial workers' dental care utilization after their dental examination, but develop the follow-up oral health programs. As the first research group, 608 workers were selected from the 1016 workers while excluding both 53 workers who were currently undergoing dental treatment and 355 workers who had an opportunity to visit the dental clinic over the previous six months. Among the general characteristics that would influence the 608 workers' intention to utilize the dental clinic within one (1) month, their financial state showed that the higher their financial abundance level, the stronger their intention to visit the dental clinic(p<0.01). It was shown that the attitude toward the dental care utilization related behavior and subjective norm except the perceived behavioral control among the TPB variables had a significant effect on their intention(p<0.01). Among TPB variables, attitude toward the dental care utilization and subjective norm except the perceived behavioral control, were significant correlation with behavioral intention(p<0.01). The structure model's R-square of the attitude toward the behavior, subjective norm and perceived behavioral control having and effect on the intention accounted for 21%. In order to encourage the workers to have positive thoughts about the attitude toward their dental care utilization and subjective norm, therefore, it is required to perform the continued oral health programs, in addi1ion to oral health experts' regular education.

• Journal of Korean Academy of Nursing
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• 제30권3호
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• pp.537-548
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• 2000

The objectives of this study were to verify the effectiveness of the Theory of Planned Behavior in predicting exercise intention and exercise behavior, and to examine the determinants of exercise intention and exercise behavior in the sample of middle-aged women. The subjects who participated in this study were 263 middle-aged women. The instruments used for this study was a survey of general characteristics, attitude (18 items), subjective norm (2 items), perceived behavioral control (19 items), intention (3 items), and exercise behavior (7 items and 23 items for each). Analysis of data was done by use of descriptive statistics and correlation analysis with SAS PC program. The hypothetical model based on the Theory of Planned Behavior was tested by use of LISREL 8.12a program. The results of this study were as follows. 1) The overall fit of the hypothetical model to the data was good(chi-square=11.76, p=0.03, RMSEA=0.07, standardized RMR= 0.03, GFI=0.99, AGFI=0.94, NFI=0.97, NNFI=0.95). 2) Perceived behavioral control, attitude, and subjective norm were significant determinants of exercise intention, and these variables explained 35% of the total variance of exercise intention. 3) Perceived behavioral control, intention, and attitude were significant determinants of exercise behavior. But, subjective norm was not a significant determinants. These four variables explained 69% of the total variance of exercise behavior. In conclusion, this study shows the applicability of the Theory of Planned Behavior in explaining exercise behavior of middle-aged women, and suggests that health care providers should focus on perceived behavioral control and attitude rather than subjective norm to improve exercise behavior of middle-aged women.

• Journal of Korean Academy of Nursing
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• 제27권4호
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• pp.796-806
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• 1997

The majority of studies on breastfeeding consists of descriptive correlational studies identifying the incidence and correlates of breastfeeding. The theory of planned behavior has been shown to yield great predictive power for behavioral goals over which individuals have only limited control such as improving school grades and weight loss. The purpose of this study was to test the "theory of planned behavior" in the prediction of breastfeeding of mothers who delivered vaginally, One hundred mothers who delivered vaginally in one general hospital in Seoul and one general hospital and three private hospitals in Taejeon participated in this study. The instruments used for data collection in this study were developed by the researchers following the guidelines suggested by Ajzen & Fishbein(1980) and Ajzen & Madden(1986). The instruments included measurement of attitude, subjective norm, perceived behavioral control and intention. The collected data were analyzed using descriptive statistics, Pearson product moment correlation, hierachical multiple regression and logistic regression. The results are as follows ; 1. Intention to breastfeed correlated significantly with attitude, subjective norm and perceived behavioral control. Both attitude and subjective norm did not make a significant contribution to the prediction of intention, but the addition of perceived behavioral control to the regression equation greatly improved the model's predictive power, increasing the R²from .05 to .52. 2. Intention to breastfeed alone had a significant predictive effect on actual breastfeeding, resulting in a regression coefficient of .16(X²=8 60, p<.01), but when perceived behavioral control was added to the equation, intention was not a significant predictive variable and only perceived behavioral control showed significant predictive power on actual breastfeeding, resulting in a regression coefficient of .12(X²=4.69, p<.05). In sum, breastfeeding behavior lent only partial support to the second version of the theory of planned behavior, and because perceived behavioral control had a strong effect on intention to breastfeed and actual breastfeeding, It would be desirable to develop nursing intervention programs which focus on strengthening the perceived behavioral control for the promotion of breastfeeding.