• Title/Summary/Keyword: maximal operator

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CONVERGENCE THEOREMS FOR TWO FAMILIES OF WEAK RELATIVELY NONEXPANSIVE MAPPINGS AND A FAMILY OF EQUILIBRIUM PROBLEMS

  • Zhang, Xin;Su, Yongfu
    • Communications of the Korean Mathematical Society
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    • v.25 no.4
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    • pp.583-607
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    • 2010
  • The purpose of this paper is to prove strong convergence theorems for common fixed points of two families of weak relatively nonexpansive mappings and a family of equilibrium problems by a new monotone hybrid method in Banach spaces. Because the hybrid method presented in this paper is monotone, so that the method of the proof is different from the original one. We shall give an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping in Banach space $l^2$. Our results improve and extend the corresponding results announced in [W. Takahashi and K. Zembayashi, Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings, Fixed Point Theory Appl. (2008), Article ID 528476, 11 pages; doi:10.1155/2008/528476] and [Y. Su, Z. Wang, and H. Xu, Strong convergence theorems for a common fixed point of two hemi-relatively nonexpansive mappings, Nonlinear Anal. 71 (2009), no. 11, 5616?5628] and some other papers.

A NOTE ON ZEROS OF BOUNDED HOLOMORPHIC FUNCTIONS IN WEAKLY PSEUDOCONVEX DOMAINS IN ℂ2

  • Ha, Ly Kim
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.3
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    • pp.993-1002
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    • 2017
  • Let ${\Omega}$ be a bounded, uniformly totally pseudoconvex domain in ${\mathbb{C}}^2$ with the smooth boundary b${\Omega}$. Assuming that ${\Omega}$ satisfies the negative ${\bar{\partial}}$ property. Let M be a positive, finite area divisor of ${\Omega}$. In this paper, we will prove that: if ${\Omega}$ admits a maximal type F and the ${\check{C}}eck$ cohomology class of the second order vanishes in ${\Omega}$, there is a bounded holomorphic function in ${\Omega}$ such that its zero set is M. The proof is based on the method given by Shaw [27].

On the Boundedness of Marcinkiewicz Integrals on Variable Exponent Herz-type Hardy Spaces

  • Heraiz, Rabah
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.259-275
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    • 2019
  • The aim of this paper is to prove that Marcinkiewicz integral operators are bounded from ${\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$ to ${\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$ when the parameters ${\alpha}({\cdot})$, $p({\cdot})$ and $q({\cdot})$ satisfies some conditions. Also, we prove the boundedness of ${\mu}$ on variable Herz-type Hardy spaces $H{\dot{K}}^{{\alpha}({\cdot}),q({\cdot})}_{p({\cdot})}({\mathbb{R}}^n)$.

QoS- and Revenue Aware Adaptive Scheduling Algorithm

  • Joutsensalo, Jyrki;Hamalainen, Timo;Sayenko, Alexander;Paakkonen, Mikko
    • Journal of Communications and Networks
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    • v.6 no.1
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    • pp.68-77
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    • 2004
  • In the near future packet networks should support applications which can not predict their traffic requirements in advance, but still have tight quality of service requirements, e.g., guaranteed bandwidth, jitter, and packet loss. These dynamic characteristics mean that the sources can be made to modify their data transfer rates according to network conditions. Depending on the customer&; needs, network operator can differentiate incoming connections and handle those in the buffers and the interfaces in different ways. In this paper, dynamic QoS-aware scheduling algorithm is presented and investigated in the single node case. The purpose of the algorithm is in addition to fair resource sharing to different types of traffic classes with different priorities ?to maximize revenue of the service provider. It is derived from the linear type of revenue target function, and closed form globally optimal formula is presented. The method is computationally inexpensive, while still producing maximal revenue. Due to the simplicity of the algorithm, it can operate in the highly nonstationary environments. In addition, it is nonparametric and deterministic in the sense that it uses only the information about the number of users and their traffic classes, not about call density functions or duration distributions. Also, Call Admission Control (CAC) mechanism is used by hypothesis testing.

Research on Water Edge Extraction in Islands from GF-2 Remote Sensing Image Based on GA Method

  • Bian, Yan;Gong, Yusheng;Ma, Guopeng;Duan, Ting
    • Journal of Information Processing Systems
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    • v.17 no.5
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    • pp.947-959
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    • 2021
  • Aiming at the problem of low accuracy in the water boundary automatic extraction of islands from GF-2 remote sensing image with high resolution in three bands, new water edges automatic extraction method in island based on GF-2 remote sensing images, genetic algorithm (GA) method, is proposed in this paper. Firstly, the GA-OTSU threshold segmentation algorithm based on the combination of GA and the maximal inter-class variance method (OTSU) was used to segment the island in GF-2 remote sensing image after pre-processing. Then, the morphological closed operation was used to fill in the holes in the segmented binary image, and the boundary was extracted by the Sobel edge detection operator to obtain the water edge. The experimental results showed that the proposed method was better than the contrast methods in both the segmentation performance and the accuracy of water boundary extraction in island from GF-2 remote sensing images.

Improvement of inspection system for common crossings by track side monitoring and prognostics

  • Sysyn, Mykola;Nabochenko, Olga;Kovalchuk, Vitalii;Gruen, Dimitri;Pentsak, Andriy
    • Structural Monitoring and Maintenance
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    • v.6 no.3
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    • pp.219-235
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    • 2019
  • Scheduled inspections of common crossings are one of the main cost drivers of railway maintenance. Prognostics and health management (PHM) approach and modern monitoring means offer many possibilities in the optimization of inspections and maintenance. The present paper deals with data driven prognosis of the common crossing remaining useful life (RUL) that is based on an inertial monitoring system. The problem of scheduled inspections system for common crossings is outlined and analysed. The proposed analysis of inertial signals with the maximal overlap discrete wavelet packet transform (MODWPT) and Shannon entropy (SE) estimates enable to extract the spectral features. The relevant features for the acceleration components are selected with application of Lasso (Least absolute shrinkage and selection operator) regularization. The features are fused with time domain information about the longitudinal position of wheels impact and train velocities by multivariate regression. The fused structural health (SH) indicator has a significant correlation to the lifetime of crossing. The RUL prognosis is performed on the linear degradation stochastic model with recursive Bayesian update. Prognosis testing metrics show the promising results for common crossing inspection scheduling improvement.

Feasibility Study of EEG-based Real-time Brain Activation Monitoring System (뇌파 기반 실시간 뇌활동 모니터링 시스템의 타당성 조사)

  • Chae, Hui-Je;Im, Chang-Hwan;Lee, Seung-Hwan
    • Journal of Biomedical Engineering Research
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    • v.28 no.2
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    • pp.258-264
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    • 2007
  • Spatiotemporal changes of brain rhythmic activity at a certain frequency have been usually monitored in real time using scalp potential maps of multi-channel electroencephalography(EEG) or magnetic field maps of magnetoencephalography(MEG). In the present study, we investigate if it is possible to implement a real-time brain activity monitoring system which can monitor spatiotemporal changes of cortical rhythmic activity on a subject's cortical surface, neither on a sensor plane nor on a standard brain model, with a high temporal resolution. In the suggested system, a frequency domain inverse operator is preliminarily constructed, considering the individual subject's anatomical information, noise level, and sensor configurations. Spectral current power at each cortical vertex is then calculated for the Fourier transforms of successive sections of continuous data, when a single frequency or particular frequency band is given. An offline study which perfectly simulated the suggested system demonstrates that cortical rhythmic source changes can be monitored at the cortical level with a maximal delay time of about 200 ms, when 18 channel EEG data are analyzed under Pentium4 3.4GHz environment. Two sets of artifact-free, eye closed, resting EEG data acquired from a dementia patient and a normal male subject were used to show the feasibility of the suggested system. Factors influencing the computational delay are investigated and possible applications of the system are discussed as well.

The Association between Obesity Indices in Adolescence and Carotid Intima-media Thickness in Young Adults: Kangwha Study (청소년기 비만지표와 초기 성인기 경동맥 내중막 두께와의 관련성: Kangwha Study)

  • Lee, Yoo-Jung;Nam, Chung-Mo;Kim, Hyeon-Chang;Hur, Nam-Wook;Suh, Il
    • Journal of Preventive Medicine and Public Health
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    • v.41 no.2
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    • pp.107-114
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    • 2008
  • Objectives : The aim of this study is to investigate the association between obesity indices(body mass index, weight, waist-hip ratio and waist circumference) in adolescents and the carotid intima-media thickness (C-IMT) in early adulthood. We also wanted to identify the best predictor for C-IMT among these obesity indices. Methods : This study used community-based prospective cohort study, known as the Kangwha Study, and the data we used were from subjects who were 16-years old in 1996 (defined as "adolescence") and 25 years-old in 2005 (defined as "early adulthood"). The 256 subjects (113 men and 143 women) who were used for analysis participated in both follow-ups, and they underwent B-mode ultrasonography of the carotid arteries at the early adulthood follow-up. Obesity indices were defined as the body mass index, weight, waist-hip ratio and waist circumference. The C-IMT was defined as the mean of the maximal IMT of each common carotid artery. The C-IMT and obesity indices associations were evaluated via multivariable regression, logistic regression and the receiver-operator characteristic curve analyses. Results : In men, all the obesity indices in adolescence were showed to have statistically significant positive association with C-IMT in early adulthood. However, no such relationship was showed in women. On multiple regression and logistic regression analysis, the waist-hip ratio showed the biggest relationship with the C-IMT among the 4 obesity indices. However, there were no statistical significant differences and no best predictor was found. For the women, the obesity incidences and C-IMT showed no relationships. Conclusions : This study suggested that obesity in adolescence was related to an increase C-IMT in healthy young Korean men.

A Low Power Resource Allocation Algorithm based on Minimizing Switching Activity (스위칭 동작 최소화를 통한 저 전력 자원할당 알고리즘)

  • Lin, Chi-Ho
    • Journal of IKEEE
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    • v.10 no.2 s.19
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    • pp.103-108
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    • 2006
  • This paper proposed a low power resource allocation algorithm for the minimum switching activity of operators in high level synthesis. In this paper, the proposed method finds switching activity in circuit each functional unit exchange for binary sequence length and value bit are logic one value. To use the switching activity was found the allocation with minimal power consumption, the proposed method visits all control steps one by one and determines the allocation with minimal power consumption at each control step. As the existing method, the execution time can be fast according to use the number of operator and maximal control step. And it is the reduction effect from 8.5% to 9.3%.

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A New High speed, Low Power TFT-LCD Driving Method (새로운 고속, 저전력 TFT-LCD 구동 방법)

  • Park, Soo-Yang;Son, Sang-Hee;Chung, Won-Sup
    • Journal of IKEEE
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    • v.10 no.2 s.19
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    • pp.134-140
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    • 2006
  • This paper proposed a low power resource allocation algorithm for the minimum switching activity of operators in high level synthesis. In this paper, the proposed method finds switching activity in circuit each functional unit exchange for binary sequence length and value bit are logic one value. To use the switching activity was found the allocation with minimal power consumption, the proposed method visits all control steps one by one and determines the allocation with minimal power consumption at each control step. As the existing method, the execution time can be fast according to use the number of operator and maximal control step. And it is the reduction effect from 8.5% to 9.3%.

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