• Title/Summary/Keyword: N-continuous

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ON SUPPORT POINTS FOR SOME FAMILIES OF UNIVALENT FUNCTIONS

  • Chung, Gae-Sun
    • Journal of applied mathematics & informatics
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    • v.2 no.2
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    • pp.83-95
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    • 1995
  • Given a closed subset of the family $S^{*}(\alpha)$ of functions starlike of order $\alpha$, a continuous Frechet differentiable functional J, is constructed with this collection as the solution set to the extremal problem ReJ(f) over $S^{*}(\alpha)$. The support points of $S^{*}(\alpha)$ is completely characterized and shown to coincide with the extreme points of its convex hulls. Given any finite collection of support points of $S^{*}(\alpha)$ a continuous linear functional J, is constructed with this collection as the solution set to the extremal problem ReJ(f) over $S^{*}(\alpha)$.

AN APPROXIMATION OF THE HANKEL TRANSFORM FOR ABSOLUTELY CONTINUOUS MAPPINGS

  • DRAGOMIR, N.M.;DRAGOMIR, S.S.;GU, M.;GAN, X.;WHITE, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.6 no.1
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    • pp.17-31
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    • 2002
  • Using some techniques developed by Dragomir and Wang in the recent paper [2] in connection to Ostrowski integral inequality, we point out some approximation results for the Henkel's transform of absolutely continuous mapping.

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Likelihood Estimation Using Continuous-Time Markov Channels for Cognitive Radio Networks in Wireless LAN

  • Oo, Thant Zin;Thar, Kyi;Hong, Choong-Seon
    • Proceedings of the Korean Information Science Society Conference
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    • 2012.06d
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    • pp.262-264
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    • 2012
  • Dynamic spectrum access and cognitive radio is a viable solution to solve congestion in ISM band. The dynamic environment of multi-channel wireless LAN is modeled by using continuous time Markov process. Bayes theorem is applied to infer channel access decisions dynamically to ensure current data transmission is switched to only likely candidate channels.

THE GLOBAL OPTIMAL SOLUTION TO THE THREE-DIMENSIONAL LAYOUT OPTIMIZATION MODEL WITH BEHAVIORAL CONSTRAINTS

  • Jun, Tie;Feng, Enmin
    • Journal of applied mathematics & informatics
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    • v.15 no.1_2
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    • pp.313-321
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    • 2004
  • In this paper we study the problem of three-dimensional layout optimization on the simplified rotating vessel of satellite. The layout optimization model with behavioral constraints is established and some effective and convenient conditions of performance optimization are presented. Moreover, we prove that the performance objective function is locally Lipschitz continuous and the results on the relations between the local optimal solution and the global optimal solution are derived.

GAUSSIAN CHAOS AND LOCAL H$\ddot{O}LDER$ PROPERTY OF STOCHASTIC INTEGRAL PROCESS

  • KIM JOO-MOK
    • Journal of applied mathematics & informatics
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    • v.20 no.1_2
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    • pp.585-594
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    • 2006
  • We consider a stochastic integral process represented by multiple Ito-Wiener integrals. We derive gaussian chaos which has some shift continuous function. We get continuity property of self-similar process represented by multiple integrals and finally we show that $Y_{H_t}$ (t) is continuous in t with probability one for Holder function $H_t$ of exponent $\beta$.

NOTES ON EXTENDED NEURAL NETWORK APPROXIMATION

  • Hahm, Nahm-Woo;Hong, Bum-Il;Choi, Sung-Hee
    • Journal of applied mathematics & informatics
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    • v.5 no.3
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    • pp.867-875
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    • 1998
  • In this paper we prove that any continuous function on a bounded closed interval of can be approximated by the superposition of a bounded sigmoidal function with a fixed weight. In addition we show that any continuous function over $\mathbb{R}$ which vanishes at infinity can be approximated by the superposition f a bounded sigmoidal function with a weighted norm. Our proof is constructive.

A STABILITY THEOREM FOR FEYNMAN'S OPERATIONAL CALCULUS

  • Ahn, Byung-Moo
    • Journal of applied mathematics & informatics
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    • v.24 no.1_2
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    • pp.479-487
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    • 2007
  • A variety of Feynman's operational calculus for noncommuting operators was studied [3,4,5,6,7,10]. And a stability in the continuous measures for Feynman's operational calculus was studied [9]. In this paper, we investigate a stability of the Feynman's operational calculus in the setting where the time-ordering measures are allowed to have both continuous and discrete parts.

Continuous Maximin Resource Allocations with GLB and GUB Constraints (일반하한 및 일반상한 제약하의 연속 최대최소 자원배분)

  • 원중연;최진영
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.20 no.43
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    • pp.145-152
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    • 1997
  • We present a continuous resource allocation problem with maximin objective functions under the generalized lower bound(GLB) and generalized upper bound(GUB) constraints. This problem is an extension for the problems of previous studies. An efficient algorithm is developed by exploiting extended structural properties, where n is the total number of variables. The worst computational complexity of the proposed algorithm is O(nlogn).

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N-tuple Filtering Using Genetic Algorithm (유전자 알고리즘을 이용한 n-tuple 필터링)

  • 한우연;남미영;이필규
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.10b
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    • pp.796-798
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    • 2004
  • continuous n-tuple 알고리즘은 tuple의 무작위적 추출을 기본으로 한다. 무작위적 추출의 여러 가지 장점을 감안하더라도, 무작위적 추출을 통한 인식의 성능은 가변성물 가지게 된다. 그리고 무작위적 추출은 의미 있는 정보의 선택이 불가능하다는 단점을 가진다. 본 논문에서는 무작위적 추출이 가지는 설러 가지 약점을 보완하기 위해서, 유전 알고리즘을 이용하여 얼굴인식에 효과적인 tuple을 선택하여 사용하였다. 유전 알고리즘을 이용함으로서 얼굴 인식에 효과적이지 않은 tuple의 필터링 효과를 기대할 수 있다.

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A NOTE OF LEFT DERIVATIONS ON BANACH ALGEBRAS

  • Jung, Yong-Soo
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.555-561
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    • 1997
  • In this paper we show that if A is a Banach algebra with radical R and D is a left derivation on A then $D(A){\subset}R$ if and only if $Q_RD^n$ is continuous for all $n{\geq}1$, where $Q_R$ is the canonical quotient map from A onto A/R.