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On convergence and rate of convergence of nonlinear singular integral operators
H. Karsli,E. Ibikli 장전수학회 2006 Proceedings of the Jangjeon mathematical society Vol.9 No.2
Let G be a locally compact abelian group with the Haar measure. In the present paper we investigate both the pointwise convergence and the rate of convergence of the nonlinear integral operators, to a continuous and Lebesgue point of f 2 L1(a; b) as (x; ) ! (x0; 0).
A GENERIC RESEARCH ON NONLINEAR NON-CONVOLUTION TYPE SINGULAR INTEGRAL OPERATORS
Uysal, Gumrah,Mishra, Vishnu Narayan,Guller, Ozge Ozalp,Ibikli, Ertan The Kangwon-Kyungki Mathematical Society 2016 한국수학논문집 Vol.24 No.3
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 ${\Psi}$ = <a, b> and ${\Omega}$ = <A, B> 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.
죽탄 및 죽초액 제조를 위한 인도네시아산 및 국내산 대나무의 탄화특성 비교 연구
Yang, Won,Kim, Hui-Yeol,Chae, Tae-Young,Ibik, K.,Pohan, H.G. 한국연소학회 2010 한국연소학회지 Vol.15 No.1
Carbonization characteristics of Indonesian bamboos were investigated using lab-scale tube furnace, in order to find optimum design temperature of a carbonizer for producing bamboo charcoal and vinegar. The bamboo samples used in this study are local bamboos from Damyang in Korea, Andong and Petung in Indonesia. Correlation of electric resistance, specific surface area and pH of bamboo vinegar with pyrolysis temperature has been investigated. Electric resistance of the charcoal increased for higher pyrolysis temperature the specific surface area was also increased as carbonization temperature got higher. Charcoal which has specific surface area of over $300\;m^2/g$ could be produced at $700^{\circ}C$. pH of bamboo vinegar was decreased for highter carbonization temperature and vinegar under pH 3 could be produced for all bamboo samples. In this experimental condition, it was found that lower carbonization temperature is better for producing bamboo vinegar of high quality, while higher temperature is better for obtaining bamboo charcoal with larger surface.
김희열(Hui Yeol Kim),양원(Won Yang),K. Ibik,H.G. Pohan 한국연소학회 2008 KOSCOSYMPOSIUM논문집 Vol.- No.-
The carbonization experiment for production of optimization of bamboo carbonizer was proceeded by using lab scale tube furnace. The species of the boom boo that were used are local bamboos from Dam Yang, Indonesian Andong and Petung. The interrelation of electric resistance, specific surface area and pH of bamboo vinegar has been researched. As a result of this work, the charcoal's electric resistance were about 0.4 ㏁, 9.4 Ω at 600℃ and 900℃. Throughout this research the electric resistance rose as temperature went higher. The specific surface area got a rise as carbonization temperature got higher and charcoal that has specific surface area more than 300 m2/g was made at 700℃. The pH of bamboo vinegar showed the fact that it was increased as carbonization temperature augmented. In consequence it was believed that appropriate carbonization temperature to produce optimal bamboo charcoal is about 850℃ and of bamboo vinegar is about 540℃.
죽탄 및 죽초액 제조를 위한 인도네시아산 및 국내산 대나무의 탄화특성 비교 연구
양원(Won Yang),김희열(Hui Yeol Kim),채태영(Taeyoung Chae),K. Ibik,H.G. Pohan 한국연소학회 2010 한국연소학회지 Vol.15 No.1
Carbonization characteristics of Indonesian bamboos were investigated using lab-scale tube furnace, in order to find optimum design temperature of a carbonizer for producing bamboo charcoal and vinegar. The bamboo samples used in this study are local bamboos from Damyang in Korea, Andong and Petung in Indonesia. Correlation of electric resistance, specific surface area and pH of bamboo vinegar with pyrolysis temperature has been investigated. Electric resistance of the charcoal increased for higher pyrolysis temperature the specific surface area was also increased as carbonization temperature got higher. Charcoal which has specific surface area of over 300 ㎡/g could be produced at 700℃. pH of bamboo vinegar was decreased for highter carbonization temperature and vinegar under pH 3 could be produced for all bamboo samples. In this experimental condition, it was found that lower carbonization temperature is better for producing bamboo vinegar of high quality, while higher temperature is better for obtaining bamboo charcoal with larger surface.