• Title/Summary/Keyword: $L^1$-convergence

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CONVERGENCE THEOREMS OF A FINITE FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN BANACH SPACES

  • Saluja, Gurucharan Singh
    • East Asian mathematical journal
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    • v.27 no.1
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    • pp.35-49
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    • 2011
  • In this paper, we study multi-step iterative algorithm with errors and give the necessary and sufficient condition to converge to com mon fixed points for a finite family of asymptotically quasi-nonexpansive type mappings in Banach spaces. Also we have proved a strong convergence theorem to converge to common fixed points for a finite family said mappings on a nonempty compact convex subset of a uniformly convex Banach spaces. Our results extend and improve the corresponding results of [2, 4, 7, 8, 9, 10, 12, 15, 20].

SOME STRONG CONVERGENCE RESULTS OF RANDOM ITERATIVE ALGORITHMS WITH ERRORS IN BANACH SPACES

  • Chugh, Renu;Kumar, Vivek;Narwal, Satish
    • Communications of the Korean Mathematical Society
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    • v.31 no.1
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    • pp.147-161
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    • 2016
  • In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang [4], Zhang [31] and many others.

Wideband Hybrid Fiber Amplifier Using Er-Doped Fiber and Raman Medium

  • Seo, Hong-Seok;Ahn, Joon-Tae;Park, Bong-Je;Chung, Woon-Jin
    • ETRI Journal
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    • v.29 no.6
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    • pp.779-784
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    • 2007
  • In this paper, we report the experimental results of a hybrid wideband fiber amplifier. The amplifying medium is a concatenated hybrid fiber consisting of Er-doped fiber (EDF) and dispersion compensating fiber (DCF). The gain mechanisms are based on stimulated emission in the EDF and stimulated Raman scattering (SRS) in the DCF. Since we simultaneously use optical amplification by the two processes, the gain bandwidth is easily expanded over 105 nm by a two-tone pumping scheme. Using an experimental setup constructed with a hybrid structure of EDF-DCF-EDF, we analyzed the spectral behavior of amplified spontaneous emission for pumping powers. We achieved an optical gain of over 20 dB in the wavelength range from 1,500 to 1,600 nm under optimized pumping conditions to make the spectral gain shape flat.

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A Simple Method to Reduce the Splitting Error in the LOD-FDTD Method

  • Kong, Ki-Bok;Jeong, Myung-Hun;Lee, Hyung-Soo;Park, Seong-Ook
    • Journal of electromagnetic engineering and science
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    • v.9 no.1
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    • pp.12-16
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    • 2009
  • This paper presents a new iterative locally one-dimensional [mite-difference time-domain(LOD-FDTD) method that has a simpler formula than the original iterative LOD-FDTD formula[l]. There are fewer arithmetic operations than in the original LOD-FDTD scheme. This leads to a reduction of CPU time compared to the original LOD-FDTD method while the new method exhibits the same numerical accuracy as the iterative ADI-FDTD scheme. The number of arithmetic operations shows that the efficiency of this method has been improved approximately 20 % over the original iterative LOD-FDTD method.

Neural Network Application to the T/L Operation for Suppression of Short Circuit Capacity (고장용량 감소를 위한 송전선 개방 운용에 신경회로망 적용 연구)

  • Lee, Gwang-Ho
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.1
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    • pp.26-30
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    • 2000
  • Switching of the transmission lines(T/L) is one of the methods for wuppressing the short circuit capacity. This paper presents the T/L switching operation by using the Hopfield neural network(HNN). The switching of T/L can make the line powers and the bus voltages deteriorated, as well as the fault current decreased. Such an insecure state should be avoided when the T/L is operated to be open. In this studies, the inequality constraints are formulated into the objective function to be incorporated with the HNN. Test results show that the convergence characteristics of HNN lead to the adequate solution of T/L switching.

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The Improved Efficiency Network Life-time in TEEN

  • Lee, WooSuk;Lee, Seong Ro;Lee, Jong-Yong
    • International journal of advanced smart convergence
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    • v.5 no.1
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    • pp.59-65
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    • 2016
  • In this paper, we're compared network protocol which is network lifetime longer when using LEACH Protocol, SEP, and TEEN in a heterogeneous Wireless Sensor Network with a Large Sensor Area. Also, we propose a method of divided layer the wide-area sensor filed and transmitting a multi-hop to improve the network lifetime. And we're compared network protocol which is network lifetime more improved apply the proposed method to LEACH Protocol, SEP, and TEEN. We tried to compare results, TEEN showed the best network lifetime. Apply the proposed method to divided the sensor field, L-TEEN (Layered TEEN)'s network lifetime rates of improvement is highest.

A GENERIC RESEARCH ON NONLINEAR NON-CONVOLUTION TYPE SINGULAR INTEGRAL OPERATORS

  • Uysal, Gumrah;Mishra, Vishnu Narayan;Guller, Ozge Ozalp;Ibikli, Ertan
    • Korean Journal of Mathematics
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    • v.24 no.3
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    • pp.545-565
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    • 2016
  • In this paper, we present some general results on the pointwise convergence of the non-convolution type nonlinear singular integral operators in the following form: $$T_{\lambda}(f;x)={\large\int_{\Omega}}K_{\lambda}(t,x,f(t))dt,\;x{\in}{\Psi},\;{\lambda}{\in}{\Lambda}$$, where ${\Psi}$ = and ${\Omega}$ = stand for arbitrary closed, semi-closed or open bounded intervals in ${\mathbb{R}}$ or these set notations denote $\mathbb{R}$, and ${\Lambda}$ is a set of non-negative numbers, to the function $f{\in}L_{p,{\omega}}({\Omega})$, where $L_{p,{\omega}}({\Omega})$ denotes the space of all measurable functions f for which $\|{\frac{f}{\omega}}\|^p$ (1 ${\leq}$ p < ${\infty}$) is integrable on ${\Omega}$, and ${\omega}:{\mathbb{R}}{\rightarrow}\mathbb{R}^+$ is a weight function satisfying some conditions.

Removal of Microcystis aeruginosa using Pine Needle Extracts (솔잎추출액을 이용한 Microcystis aeruginosa 제거 연구)

  • Choi, Hee-Jeong
    • Journal of Korean Society on Water Environment
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    • v.33 no.1
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    • pp.8-14
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    • 2017
  • Microcystis aeruginosa (M. aeruginosa) is a cyanobacterium species that can form harmful algal blooms in freshwater bodies worldwide. The use of pine needle extract (PNE) to control nuisance algae by allelopathic inhibition will be environmentally friendly and promising. PNE removed successfully upto 98% of M. aeruginosa at the following optimal conditions: pH 7, $25^{\circ}C$ of temperature, 100 rpm of mixing rate, 5 min of mixing time. These results was indicated that the amount of 1 g/L PNE was removed 1g dryweight/L of M. aeruginosa. The kinetic data showed substrate inhibition kinetics and maximum growth rate was obtained when the M. aeruginosa was grown in medium containing 0.5 g/L of initial concentration of PNE. Different substrate inhibition models were fitted to the kinetic data and found the Luong model was best. The model predicted kinetic parameters were in agreement with the experimental findings. The natural extract, PNE, can be a promising inhibition due to its high efficiency and low dose requirements.

Reading Fluency and Accuracy for English Language Acquisition in EFL Context. (외국어교육 환경에서 영어습득을 위한 읽기유창성과 정확성에 관한 연구)

  • Shin, Kyu-Cheol
    • Journal of the Korea Convergence Society
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    • v.9 no.3
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    • pp.249-256
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    • 2018
  • This study aims to explore efficient foreign language learning paradigm with a focus on reading fluency and accuracy. From a perspective of language acquisition in the foreign language context, the priority in the L2 learning between accuracy and fluency has been a very important issue. Fluency becomes an important issue due to many researchers' interests in the L1 and L2 classroom. Although both accuracy and fluency are crucial, the paradigm shift from fluency to accuracy is necessary in the foreign language teaching. In this context, as an alternative methodology for L2 learners' fluency, the extensive reading approach is provided. A number of studies have suggested that extensive reading program could lead to improvement of L2 learners' reading rate and is an effective approach to improving general language proficiency.

Antioxidant and Anti-inflammatory Effect of Pyracantha Angustifolia Fruit Extracts (적양자 추출물의 항산화 및 항염 효능)

  • Yang, Yang;Lee, Ji-An
    • Journal of Convergence for Information Technology
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    • v.9 no.12
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    • pp.294-301
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    • 2019
  • This study evaluated the antioxidant activity and the anti-inflammatory activity of ethanol extracted Pyracantha angustifolia (PE) or hot water extracted P. angustifolia (PW) using natural plant sources. In the DPPH and ABTS assay, the PE extracts showed the highest activity with an IC50 of 3.78 ㎍/mL, IC50 of 510.57 ㎍/mL, respectively. The total polyphenol content of PE extracts was 37.11±0.01 mgGAE/mL and PW extracts was 11.46±0.01 mgGAE/mL in a 1 mg/mL. The MTT assay showed no cytotoxicity at all concentration of two extracts in mouse macrophage cell line, RAW264.7. In addition, PE extracts strongly inhibited the production of NO, TNF-α cytokine secretion, and iNOS/TNF-α mRNA expression stimulated by LPS in RAW264.7 cells. Taken together, these results suggest that P. angustifolia, especially the ethanol extracts (PE), can be used as a cosmetic material containing natural antioxidant and anti-inflammatory properties.