• Title/Summary/Keyword: subordination property

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A NOTE ON SEMI-SELFDECOMPOSABILITY AND OPERATOR SEMI-STABILITY IN SUBORDINATION

  • Choi, Gyeong-Suk;Kim, Yun-Kyong;Joo, Sang-Yeol
    • Bulletin of the Korean Mathematical Society
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    • v.47 no.3
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    • pp.483-490
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    • 2010
  • Some results on inheritance of operator semi-selfdecomposability and its decreasing subclass property from subordinator to subordinated in subordination of a L$\acute{e}$evy process are given. A main result is an extension of results of [5] to semi-selfdecomposable subordinator. Its consequence is discussed.

SEVERAL PROPERTIES OF THE SUBCLASS OF Gk DESCRIBED BY SUBORDINATION

  • PARK, YOUNG OK
    • Honam Mathematical Journal
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    • v.21 no.1
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    • pp.139-147
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    • 1999
  • In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.

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CERTAIN SUBCLASS OF STRONGLY MEROMORPHIC CLOSE-TO-CONVEX FUNCTIONS

  • Gagandeep Singh;Gurcharanjit Singh; Navyodh Singh
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.73-82
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    • 2024
  • The purpose of this paper is to introduce a new subclass of strongly meromorphic close-to-convex functions by subordinating to generalized Janowski function. We investigate several properties for this class such as coefficient estimates, inclusion relationship, distortion property, argument property and radius of meromorphic convexity. Various earlier known results follow as particular cases.

A NEW SUBCLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION

  • Lee, S.K.;Khairnar, S.M.
    • Korean Journal of Mathematics
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    • v.19 no.4
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    • pp.351-365
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    • 2011
  • In the present paper we introduce a new subclass of analytic functions in the unit disc defined by convolution $(f_{\mu})^{(-1)}*f(z)$; where $$f_{\mu}=(1-{\mu})z_2F_1(a,b;c;z)+{\mu}z(z_2F_1(a,b;c;z))^{\prime}$$. Several interesting properties of the class and integral preserving properties of the subclasses are also considered.

ON CERTAIN SUBCLASSES OF STARLIKE FUNCTIONS

  • Kwon, Oh-Sang
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.305-315
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    • 1995
  • The class $R_{\gamma-1,p}(A,B,\alpha)$ for $-1 \leq B < A \leq 1,\gamma > (B -1)p+(A_B)(p-\alpha)/1-B$ and $0 \leq \alpha < p$ consisting of p-valently analytic functions in the open unit disc is defined with the help of convolution technique. We study containment property, integral transforms and a sufficient condition for an analytic function to be in $R_{\gamma-1,p}(A,B,\alpha)$.

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A Study on the Lossless Image Compression using Context based Predictive Technique of Error Feedback (에러 피드백의 컨텍스트 기반 예측기법을 이용한 무손실 영상 압축에 관한 연구)

  • Chu, Hyung-Suk;Park, Byung-Su;An, Chong-Koo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.12
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    • pp.2251-2256
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    • 2007
  • In this paper, the wavelet transform based lossless image compression algorithm is proposed. The proposed algorithm transforms the input image using 9/7 ICFB and S+P filter, and eliminates the spacious correlation of the subband coefficients, applying the context modeling predictive technique based on the multi-resolution structure and the feedback of the prediction error. The prediction context exploits the subordination and direction property of the different level subband in the vertical, horizontal, and diagonal subband coefficients. The simulation result of the high frequency images such as PEPPERS, BOAT, and AIRPLANE shows that the proposed algorithm efficiently predicts the edge area of each multi-resolution subband.

Research of 《Huangdimingtangjing(黃帝明堂經)》 with a treatise (《황제명당경(黃帝明堂經)》에 관(關)한 문헌(文獻) 연구(硏究))

  • Sohn, Sung-chul;Kim, Gab-sung;Yoon, Jong-hwa
    • Journal of Acupuncture Research
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    • v.20 no.2
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    • pp.195-203
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    • 2003
  • Objective : In this thesis we researched ${\ll}$Huangdimingtangjing(黃帝明堂經)${\gg}$ Methods : We refered to ${\ll}$Mingtangkongxuezhenjiuzhiyao(明堂孔穴鍼灸治要)${\gg}$ in ${\ll}$Huangdijiayijing(黃帝甲乙經)${\gg}$ and ${\ll}$Huangdineijingmingtang(黃帝內徑明堂)${\gg}$ Results and Conclusions : ${\ll}$Huangdimingtangjing(黃帝明堂經)${\gg}$ was written between West-Han(西漢) dynasty and East-Han(東漢) dynasty which was a summarized book about acupuncture point before Han(漢) dynasty. 1. "MIngtang(明堂)" means originally the hall where the emperor carried out politics but became a pronoun of acupuncture point in the field of Oriental medicine. 2. ${\ll}$Huangdimingtangjing(黃帝明堂經)${\gg}$ contains Five-elements theory which is specific property of Han(漢) dynasty. A many same named acupuncture point gathered not until Wu(武) emperor. The acupuncture point named "Jimen(期門)" which is the name of a military officer in Wu(武) emperor and cannot be found in ${\ll}$Huangdineijing(黃帝內徑)${\gg}$, I contains "long(隆)" which is the name of Shang(傷) emperor. As such it was written between West Han(漢) dynasty and Esst Han(漢) dynasty. 3. ${\ll}$Huangdimingtangjing(黃帝明堂經)${\gg}$ can be assumed the original edition by ${\ll}$Migtangkongxuezhenjiuzhiyao(明堂孔穴鍼灸治要)${\gg}$ in ${\ll}$Huangdijiayijing(黃帝甲乙經)${\gg}$ and ${\ll}$Huangdineijingmingtang(黃帝內徑明堂)${\gg}$ 4. The scholarship value of ${\ll}$Huangdimingtangjing(黃帝明堂經)${\gg}$ is rich in acupuncture point which described in detail futher more made possible of wide treatment. And also it referred a subordination of five shu(兪) acupuncture point ${\ll}$Huangdineijing(黃帝內徑)${\gg}$.

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Mobile Cloud Context-Awareness System based on Jess Inference and Semantic Web RL for Inference Cost Decline (추론 비용 감소를 위한 Jess 추론과 시멘틱 웹 RL기반의 모바일 클라우드 상황인식 시스템)

  • Jung, Se-Hoon;Sim, Chun-Bo
    • KIPS Transactions on Software and Data Engineering
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    • v.1 no.1
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    • pp.19-30
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    • 2012
  • The context aware service is the service to provide useful information to the users by recognizing surroundings around people who receive the service via computer based on computing and communication, and by conducting self-decision. But CAS(Context Awareness System) shows the weak point of small-scale context awareness processing capacity due to restricted mobile function under the current mobile environment, memory space, and inference cost increment. In this paper, we propose a mobile cloud context system with using Google App Engine based on PaaS(Platform as a Service) in order to get context service in various mobile devices without any subordination to any specific platform. Inference design method of the proposed system makes use of knowledge-based framework with semantic inference that is presented by SWRL rule and OWL ontology and Jess with rule-based inference engine. As well as, it is intended to shorten the context service reasoning time with mapping the regular reasoning of SWRL to Jess reasoning engine by connecting the values such as Class, Property and Individual which are regular information in the form of SWRL to Jess reasoning engine via JessTab plug-in in order to overcome the demerit of queries reasoning method of SparQL in semantic search which is a previous reasoning method.