• 제목/요약/키워드: convergence properties

검색결과 1,917건 처리시간 0.03초

A NEW BIHARMONIC KERNEL FOR THE UPPER HALF PLANE

  • Abkar, Ali
    • 대한수학회지
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    • 제43권6호
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    • pp.1169-1181
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    • 2006
  • We introduce a new biharmonic kernel for the upper half plane, and then study the properties of its relevant potentials, such as the convergence in the mean and the boundary behavior. Among other things, we shall see that Fatou's theorem is valid for these potentials, so that the biharmonic Poisson kernel resembles the usual Poisson kernel for the upper half plane.

유한요소법(有限要素法)에 의한 반도체(半導體) 소자(素子) 해석(解析)의 안정화(安定化)에 관한 연구(硏究) (On the development of succesive finite element code for semiconductor devices analysis)

  • 최경
    • 산업기술연구
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    • 제9권
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    • pp.109-117
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    • 1989
  • In the finite element analysis of semiconductor devices analysis, the solution often be diverged due to the numerical instability of discretized equations. To overcome this problems, a noble finite element code which guarantees a successful convergence is developed. The factor of divergence in the current continuity equation of semiconductor governing equations is derived using stability test and an adaptive mesh refine scheme is introduced to eliminates the divergence properties. A test calculation of GaAs MESFET model reveals that the proposed scheme has a robust self-convergence property and is suitable for the semiconductor devices analysis.

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A SEXTIC-ORDER VARIANT OF DOUBLE-NEWTON METHODS WITH A SIMPLE BIVARIATE WEIGHTING FUNCTION

  • Kim, Young Ik
    • 충청수학회지
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    • 제27권3호
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    • pp.513-521
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    • 2014
  • Via extension of the classical double-Newton method, we propose high-order family of two-point methods in this paper. Theoretical and computational properties of the proposed methods are fully investigated along with a main theorem describing methodology and convergence analysis. Typical numerical examples are thoroughly treated to verify the underlying theory.

Sequence Space m(M, φ)F of Fuzzy Real Numbers Defined by Orlicz Functions with Fuzzy Metric

  • Tripathy, Binod Chandra;Borgohain, Stuti
    • Kyungpook Mathematical Journal
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    • 제53권3호
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    • pp.319-332
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    • 2013
  • The sequence space $m(M,{\phi})^F$ of fuzzy real numbers is introduced. Some properties of this sequence space like solidness, symmetricity, convergence-free etc. are studied. We obtain some inclusion relations involving this sequence space.

Filterness of Soft Sets

  • Park, Jin-Han;Park, Yong-Beom;Kwun, Young-Chel
    • 한국지능시스템학회논문지
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    • 제21권6호
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    • pp.781-785
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    • 2011
  • The notions of soft filters, ultra soft filters and bases of a soft filter are introduced and their basic properties are investigated. The adherence and convergence of soft filters in soft topological spaces with related results is also discussed.

DEFERRED STATISTICAL EQUIVALENCE FOR DOUBLE SEQUENCES OF SETS

  • Esra Gulle
    • 호남수학학술지
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    • 제45권3호
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    • pp.555-571
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    • 2023
  • The main purpose of this paper is to introduce the concept of asymptotical deferred statistical equivalence in the Wijsman sense for double set sequences. Also, we give some properties of this concept and prove some theorems associated with this concept. Furthermore, we examine the connection between the concepts of asymptotical deferred statistical and Cesàro equivalence in the Wijsman sense for double set sequences.