• Title/Summary/Keyword: p-norm

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Multipliers of Bergman Spaces

  • Kwak, Do Young;Kim, Gwang-Hui
    • Journal of the Chungcheong Mathematical Society
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    • v.1 no.1
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    • pp.27-32
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    • 1988
  • In this paper, we study the multipliers of $A^p_q$ into $L^{p^{\prime}}$ when 0 < p' < p. For this purpose, we study the condition on the measure ${\mu}$ satisfying $A^p_q{\subset}A^{p^{\prime}}(d{\mu})$. It turns out that the quotient $k_q={\mu}/v_q$ over hyperbolic ball of radius less than 1 belongs to $L^s_q$, where $\frac{1}{s}+\frac{p^{\prime}}{p}=1$. For the proof, we replace the norm of $k_q$ by the Riemann sum, and then use a result of interpolation theory.

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Finding the Way of Unifying the Theory and the Practice in Mathematics Education: Focused on Cobb's Research (수학교육연구의 이론과 현장의 실제사이의 간격 개선을 위한 방향탐색: Cobb 연구를 중심으로)

  • Lee, Chang Yeon;Joo, Hongyun;Choi-Koh, Sang Sook
    • School Mathematics
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    • v.16 no.4
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    • pp.709-726
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    • 2014
  • The purpose of the study was to pay attention to the studies of P. Cobb which have actively been quoted in the international research of mathematics education for the last three decades and to look at the result and effect of his research. In particular, we in-depth studied theories and the methods of the study which he has tried to reduce the gap in the theory and practice and investigated effects of his research to the Korean societies of mathematics education. Cobb made special effort to integrate radical constructivism and social constructivism and used emergent theory and symbolic interactionism as theoretical background of the study. Also he analyzed the mathematics classroom in individual and social perspectives based on the interpretive frames of social norm, sociomathematical norm and classroom-mathematical practices then dealt with equity and identity of the students. Because Cobb contributed significantly to the development of practical theory using design experiment as the method of studies, we presented the definition, characteristics, principles, processes and practices of the design experiment. We anticipate that his ways of research would be used as means of unifying the theory and the practice in school.

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Factors affecting home cooking behavior of women with elementary school children applying the theory of planned behavior

  • Kim, Ji Eun
    • Nutrition Research and Practice
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    • v.15 no.1
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    • pp.106-121
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    • 2021
  • BACKGROUND/OBJECTIVES: The objective of this study was to examine factors affecting cooking behavior at home. We examined components of the theory of planned behavior, perception of cooking skills, and socio-demographic variables affecting cooking behavior at home. SUBJECTS/METHODS: The study sample included 425 women raising elementary school children living in South Korea. They responded to an online structured questionnaire. The variables affecting cooking behavior at home were assessed using hierarchical regression analysis. RESULTS: The frequency of cooking behavior at home was 14.1 meals per week. Most respondents showed an intention regarding cooking behavior. The average score for attitude toward cooking behavior at home was 15.1 points (scale of 1 to 25). Attitude and cooking behavior showed a significant positive correlation (P < 0.01, r = 0.22). The subjective norm was 14.6 points (scale of 1 to 25). The subjective norm showed a significant correlation with cooking behavior (P < 0.01, r = 0.18). The control belief was 2.8 points (scale of 1 to 5). The control belief and cooking behavior showed a significant correlation in all questions (P < 0.01, r = 0.25). The subjects were significant confident about their cooking skills, except for Kimchi. Perception of cooking skills showed a significant correlation with all questions concerning cooking behavior (P < 0.01, r = 0.30). Significant variables for predicting intention regarding cooking behavior were perception of cooking skills, employment status, income, and attitude. Significant variables for predicting cooking behavior were employment status, income, control belief, number of children, and behavioral intention. CONCLUSIONS: In order to provide nutrition education to increase cooking behavior at home, it is necessary to have a positive attitude toward cooking behavior, increase control belief, and improve confidence related to cooking skills. Moreover, differentiated education based on the employment status of women is needed.

APPROXIMATION OF COMMON FIXED POINTS OF NON-SELF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS

  • Kim, Jong-Kyu;Dashputre, Samir;Diwan, S.D.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.179-196
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    • 2009
  • Let E be a uniformly convex Banach space and K a nonempty closed convex subset which is also a nonexpansive retract of E. For i = 1, 2, 3, let $T_i:K{\rightarrow}E$ be an asymptotically nonexpansive mappings with sequence ${\{k_n^{(i)}\}\subset[1,{\infty})$ such that $\sum_{n-1}^{\infty}(k_n^{(i)}-1)$ < ${\infty},\;k_{n}^{(i)}{\rightarrow}1$, as $n{\rightarrow}\infty$ and F(T)=$\bigcap_{i=3}^3F(T_i){\neq}{\phi}$ (the set of all common xed points of $T_i$, i = 1, 2, 3). Let {$a_n$},{$b_n$} and {$c_n$} are three real sequences in [0, 1] such that $\in{\leq}\;a_n,\;b_n,\;c_n\;{\leq}\;1-\in$ for $n{\in}N$ and some ${\in}{\geq}0$. Starting with arbitrary $x_1{\in}K$, define sequence {$x_n$} by setting {$$x_{n+1}=P((1-a_n)x_n+a_nT_1(PT_1)^{n-1}y_n)$$ $$y_n=P((1-b_n)x_n+a_nT_2(PT_2)^{n-1}z_n)$$ $$z_n=P((1-c_n)x_n+c_nT_3(PT_3)^{n-1}x_n)$$. Assume that one of the following conditions holds: (1) E satises the Opial property, (2) E has Frechet dierentiable norm, (3) $E^*$ has Kedec -Klee property, where $E^*$ is dual of E. Then sequence {$x_n$} converges weakly to some p${\in}$F(T).

Factors Affecting on the Intention to Use of Information and Communication Technology for the Elderly Based on the Theory of Planned Behavior (계획된 행위이론을 기반으로 노인의 정보통신 테크놀로지 사용 의도에 영향을 미치는 요인)

  • Ha, Yeongmi;Yang, Seung-Kyoung;Choi, Moon-Jong
    • Journal of Digital Convergence
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    • v.19 no.4
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    • pp.141-149
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    • 2021
  • The purpose of this study was to identify the intention to use of information and communication technology(ICT) for the elderly residing in community based on the theory of planned behavior. The subjects were 99 elderly aged 60 or older living in G and S cities from January 1 to 31 in 2020 using questionnaire. The data was analyzed using the SPSS 23.0 program for descriptive statistics, t-test, ANOVA, Pearson's correlation coefficient, multiple regression. As a result, the mean of the attitude to use of ICT for the elderly was 3.79±0.74, subjective norm was 3.43±0.66, perceived behavioral control was 3.12±0.71, behavior intention was 3.23±0.77. The intent to use of ICT for the elderly are subjective norm(β=.35, p<.001), perceived behavior control(β=.35, p<.001), had an explanatory power of 48.7%. Therefore, it is necessary that systematic program considering the above factors for elderly residing in community to promote the intent to use of ICT.

A GENERALIZATION OF A RESULT OF CHOA ON ANALYTIC FUNCTIONS WITH HADAMARD GAPS

  • Stevic Stevo
    • Journal of the Korean Mathematical Society
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    • v.43 no.3
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    • pp.579-591
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    • 2006
  • In this paper we obtain a sufficient and necessary condition for an analytic function f on the unit ball B with Hadamard gaps, that is, for $f(z)\;=\;{\sum}^{\infty}_{k=1}\;P_{nk}(z)$ (the homogeneous polynomial expansion of f) satisfying $n_{k+1}/n_{k}{\ge}{\lambda}>1$ for all $k\;{\in}\;N$, to belong to the weighted Bergman space $$A^p_{\alpha}(B)\;=\;\{f{\mid}{\int}_{B}{\mid}f(z){\mid}^{p}(1-{\mid}z{\mid}^2)^{\alpha}dV(z) < {\infty},\;f{\in}H(B)\}$$. We find a growth estimate for the integral mean $$\({\int}_{{\partial}B}{\mid}f(r{\zeta}){\mid}^pd{\sigma}({\zeta})\)^{1/p}$$, and an estimate for the point evaluations in this class of functions. Similar results on the mixed norm space $H_{p,q,{\alpha}$(B) and weighted Bergman space on polydisc $A^p_{^{\to}_{\alpha}}(U^n)$ are also given.

Why do People Play P2E (Play-to-Earn) Games?: Focusing on Outcome Expectation and Social Influence (P2E(Play-to-Earn) 게임 지속이용의도에 대한 연구)

  • Jang, Moonkyoung
    • Knowledge Management Research
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    • v.23 no.3
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    • pp.23-44
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    • 2022
  • With the development of blockchain technology, play-to-earn (P2E) games, one of the decentralized applications (dApps), are receiving great social attention. P2E games are positively evaluated as areas with high growth potential based on blockchain technology, and at the same time, they are negatively evaluated as speculative as people can cash P2E game items in the form of cryptocurrency. In this situation, the purpose of this study is to investigate factors affecting the intention to use P2E games. Along with the discussion of hedonic system adoption, we consider the factors with perceived enjoyment, economic incentive, and social influence. In order to verify our research model, data were collected from 350 adults with P2E game experience or recognition, and a structural equation model was carried out. The analysis results find that perceived enjoyment and subjective norm have a significant positive effect on the intention to use P2E games, and economic incentive does not have a significant effect. In addition, peer influence and external influence have a significant positive effect on subjective norm. Drawing on these findings, we present several academic and practical implications for future research.

THE GENERALIZED FERNIQUE'S THEOREM FOR ANALOGUE OF WIENER MEASURE SPACE

  • Ryu, Kun Sik
    • Journal of the Chungcheong Mathematical Society
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    • v.22 no.4
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    • pp.743-748
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    • 2009
  • In 1970, Fernique proved that there is a positive real number $\alpha$ such that $\int_{\mathbb{B}}\exp\{\alpha{\parallel}x{\parallel}^{2}\}dP(x)$ is finite where ($\mathbb{B},\;P$) is an abstract Wiener measure space and ${\parallel}\;{\cdot}\;{\parallel}$ is a measurable norm on ($\mathbb{B},\;P$) in [2, 3]. In this article, we investigate the existence of the integral $\int_{c}\exp\{\alpha(sup_t{\mid}x(t){\mid})^p\}dm_{\varphi}(x)$ where ($\mathcal{C}$, $m_{\varphi}$) is the analogue of Wiener measure space and p and $\alpha$ are both positive real numbers.

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Nicotine Dependence, Smoking-related Attitude, and Subjective Norms across the Stages of Change for Smoking Cessation among Adults Smokers in a Rural Area (일 농촌지역 성인흡연자의 금연변화단계별 니코틴의존도, 흡연태도, 및 주관적 규범)

  • Kim, Young-Hee;Seo, Nam-Sook;Kang, Hae-Young
    • Journal of Korean Academy of Nursing
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    • v.36 no.6
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    • pp.1023-1032
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    • 2006
  • Purpose: The purpose of this study was to identify nicotine dependence, smoking-related attitude, and subjective norms across the stages of change for smoking cessation among adult smokers in a rural area. Method: The subjects were 276 current smokers (male=243, female=33). There were 3 stages of change for smoking cessation: pre-contemplation, contemplation, and preparation stage. Data was collected by an interview or self-reporting from February 12th to March 5th 2004, and analyzed with frequency, percentage, $X^2-test$, Fisher's exact probability test, ANOVA, and Scheffe test using the SPSS-PC program. Result: According to the stages of change, 114(41.3%) current smokers were in pre-contemplation, 110(39.9%) in contemplation, and 52(18.8%) in the preparation stage. There was a higher percentage of males than females ($X^2-test$=8.99, p=.011) in the preparation stage. The mean score of the smoking-related attitude (F:7.43, p=.001) and subjective norm(F=27.41, p=.001) were both lowest in the pre-contemplation stage and increased positively during the stages of change for smoking cessation. Conclusion: Based on these findings, the authors recommend that community-based smoking cessation programs should be developed by considering the intention or motives of current smokers and should be initiated in the preparation stage and primarily for male groups.

Factors Associated with Cancer Screening Intention in Eligible Persons for National Cancer Screening Program (국가 암 조기검진 대상자의 암 검진 수검의도 관련 요인)

  • Kim, Rock-Bum;Park, Ki-Soo;Hong, Dae-Yong;Lee, Cheol-Heon;Kim, Jang-Rak
    • Journal of Preventive Medicine and Public Health
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    • v.43 no.1
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    • pp.62-72
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    • 2010
  • Objectives: To identify factors associated with cancer screening intention using the Theory of Planned Behavior (TPB). Methods: Among 55,920 eligible persons for National Cancer Screening Program (NCSP) in J city, 1,100 individuals were contacted. Of these, 797 were interviewed using a structured questionnaire. Thirty-six responses were excluded due to incomplete data. The remaining 761 completed questionnaires were analyzed to find factors associated with cancer screening intention. Results: Cancer screening intention was significantly associated with behavioral attitude (p<0.01) and subjective norm (p<0.01), but not with perceived behavioral control (p=0.29) in the TPB model. These three constructs explained 29.7% of cancer screening intention in multiple linear regression analysis. External factors such as socio-demographic status, health and health behavior variables explained 8.9% of screening intention. Among them, household monthly income, past cancer screening experience, exercise and daily eating habit were significantly associated with screening intention. Conclusions: Cancer screening intention may be influenced by focusing attitude, subjective norm in TPB model and other external factors. However, further studies are warranted to identify factors influencing cancer screening intention and behavior.