• Title/Summary/Keyword: Strongly

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SOME COMPLETELY MONOTONIC FUNCTIONS INVOLVING THE GAMMA AND POLYGAMMA FUNCTIONS

  • Li, Ai-Jun;Chen, Chao-Ping
    • Journal of the Korean Mathematical Society
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    • v.45 no.1
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    • pp.273-287
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    • 2008
  • In this paper, some logarithmically completely monotonic, strongly completely monotonic and completely monotonic functions related to the gamma, digamma and polygamma functions are established. Several inequalities, whose bounds are best possible, are obtained.

A Characterization on Strong Reducibility of Near-Rings

  • Cho, Yong-Uk
    • Communications of Mathematical Education
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    • v.10
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    • pp.283-292
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    • 2000
  • We shall introduce new concepts of near-rings, that is, strong reducibility and left semi ${\pi}$-regular near-rings. We will study every strong reducibility of near-ring implies reducibility of near-ring but this converse is not true, and also some characterizations of strong reducibility of near-rings. We shall investigate some relations between strongly reduced near-rings and left strongly regular near-rings, and apply strong reducibility of near-rings to the study of left semi ${\pi}$-regular near-rings, s-weekly regular near-rings and some other regularity of near-rings.

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SOME RESULTS ON IFP NEAR-RINGS

  • Cho, Yong-Uk
    • Honam Mathematical Journal
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    • v.31 no.4
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    • pp.639-644
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    • 2009
  • In this paper, we begin with to introduce the concepts of IFP and strong IFP in near-rings and then give some characterizations of IFP in near-rings. Next we derive reversible IFP, and then equivalences of the concepts of strong IFP and strong reversibility. Finally, we obtain some conditions to become strong IFP in right permutable near-rings and strongly reversible near-rings.

Motion Estimation Using Feature Matching and Strongly Coupled Recurrent Module Fusion (특징정합과 순환적 모듈융합에 의한 움직임 추정)

  • 심동규;박래홍
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.12
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    • pp.59-71
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    • 1994
  • This paper proposes a motion estimation method in video sequences based on the feature based matching and anistropic propagation. It measures translation and rotation parameters using a relaxation scheme at feature points and object orinted anistropic propagation in continuous and discontinuous regions. Also an iterative improvement motion extimation based on the strongly coupled module fusion and adaptive smoothing is proposed. Computer simulation results show the effectiveness of the proposed algorithm.

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A STUDY ON FAITHFUL AND MONOGENIC R-GROUPS

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.19 no.1
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    • pp.151-164
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    • 2003
  • Throughout this paper, we will consider that R is a near-ring and G is an R-group. We initiate the study of monogenic and strongly monogenic R-groups and their basic properties. Also, we investigate some properties of D.G. R-groups, faithful R-groups and monogenic R-groups and we determine that when near-rings are rings.

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GENERALIZED PRIME IDEALS IN NON-ASSOCIATIVE NEAR-RINGS I

  • Cho, Yong-Uk
    • East Asian mathematical journal
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    • v.28 no.3
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    • pp.281-285
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    • 2012
  • In this paper, the concept of *-prime ideals in non-associative near-rings is introduced and then will be studied. For this purpose, first we introduce the notions of *-operation, *-prime ideal and *-system in a near-ring. Next, we will define the *-sequence, *-strongly nilpotent *-prime radical of near-rings, and then obtain some characterizations of *-prime ideal and *-prime radical $r_s$(I) of an ideal I of near-ring N.

AN ITERATIVE METHOD FOR SOLVING EQUILIBRIUM PROBLEM FIXED POINT PROBLEM AND GENERALIZED VARIATIONAL INEQUALITIES PROBLEM

  • Zhang, Lijuan;Li, Juchun
    • East Asian mathematical journal
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    • v.27 no.5
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    • pp.527-538
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    • 2011
  • In this paper, we introduce a new iterative scheme for finding a common element of the set of an equilibrium problem, the set of fixed points of nonexpansive mapping and the set of solutions of the generalized variational inequality for ${\alpha}$-inverse strongly g-monotone mapping in a Hilbert space. Under suitable conditions, strong convergence theorems for approximating a common element of the above three sets are obtained.

On Left SF-Rings and Strongly Regular Rings

  • Subedi, Tikaram;Buhphang, Ardeline Mary
    • Kyungpook Mathematical Journal
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    • v.56 no.3
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    • pp.861-866
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    • 2016
  • A ring R called left SF if its simple left modules are at. Regular rings are known to be left SF-rings. However, till date it is unknown whether a left SF-ring is necessarily regular. In this paper, we prove the strong regularity of left (right) complement bounded left SF-rings. We also prove the strong regularity of a class of generalized semi-commutative left SF-rings.

Intuitionistic Fuzzy δ-continuous Functions

  • Eom, Yeon Seok;Lee, Seok Jong
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.13 no.4
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    • pp.336-344
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    • 2013
  • In this paper, we characterize the intuitionistic fuzzy ${\delta}$-continuous, intuitionistic fuzzy weakly ${\delta}$-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly ${\theta}$-continuous functions in terms of intuitionistic fuzzy ${\delta}$-closure and interior or ${\theta}$-closure and interior.