• The Pure and Applied Mathematics
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• v.16 no.1
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• pp.99-106
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• 2009

In this paper, we improve the generalized Hyers-Ulam stability and the superstability of module left derivations due to the results of [7].

• Journal of the Korean Statistical Society
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• v.7 no.2
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• pp.105-108
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• 1978

Freund, Vail, and Ross, Goldberger and Jochems and Goldberger have given some results for the stepwise estimation of the parameters of a univariate regression model, D.G. Kabe gave similar results for a multivariate linear regression model. We give here alternative derivation of some results derived by D.G. Kabe.

• Journal of applied mathematics & informatics
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• v.11 no.1_2
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• pp.413-421
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• 2003

In this paper, using an idea from the direct method of Hyers and Ulam, we investigate the situations so that the Hyers-Ulam-Rassias stability of the functional equation $g(x^2)\;=\;2xg(x)$ is satisfied.

• Kyungpook Mathematical Journal
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• v.46 no.2
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• pp.153-167
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• 2006

We study permuting tri-derivations in ${\Gamma}$-rings and give an example.

• Kyungpook Mathematical Journal
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• v.46 no.4
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• pp.497-502
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• 2006

An asymmetric Fuglede-Putnam theorem for $p$-hyponormal operators and class ($\mathcal{Y}$) is proved, as a consequence of this result, we obtain that the range of the generalized derivation induced by the above classes of operators is orthogonal to its kernel.

• Kyungpook Mathematical Journal
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• v.57 no.1
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• pp.125-132
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• 2017

We obtain commutativity-free characterizations of higher derivations on a unital Banach algebra that map into its Jacobson radical. We also investigate the spectral boundedness of generalized higher derivations.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.2
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• pp.115-124
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• 2022

In this paper, we introduce the notion of orthogonal reserve derivation on semiprime 𝚪-semirings. Some characterizations of semiprime 𝚪-semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiprime 𝚪-semiring to be orthogonal.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.341-349
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• 2022

In this paper, we introduce the notion of orthogonal reserve derivation on semiprime semirings. Some characterizations of semiprime semirimgs are obtained by means of orthogonal reverse derivations. We also investigate conditions for two reverse derivations on semiring to be orthogonal.

• Communications of the Korean Mathematical Society
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• v.37 no.1
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• pp.57-64
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• 2022

In this paper, we show, among others, that if A is a Banach algebra satisfying a functional identity involving a b-generalized derivation F on A, under some mild conditions, is of the form F(x) = ax for all x ∈ R, where a ∈ Q_r, a right Martindale quotient ring of A.

• Journal of Global Scholars of Marketing Science
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• v.18 no.2
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• pp.1-18
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• 2008

The objective of this paper is to describe the construct of bullwhip effect beyond supply chains, namely at industrial and societal levels. The author provides a conceptual discussion of the bullwhip effect - its derivation is extended, and the positioning of the construct is broadened. The bullwhip effect has been explored within intra-organisational and inter-organisational supply chains. A broader descriptive framework is introduced, one that positions the bullwhip effect construct at industrial and societal levels. A conceptual framework is provided that bridges the interface between the micro and macro environments of the bullwhip effect construct, but further conceptualization is required. The introduced derivation and positioning of the bullwhip effect construct reveal a number of research potentials. A principal one is that the exploration of the construct may consider the industrial and/or the societal environment when the bullwhip effect is studied in supply chains. The extended derivation and broadened positioning of the bullwhip effect in the overall environment is of interest to practitioners. It stresses the importance of contextual factors in operative, tactical and strategic supply chain performance. The principal contributions are: a) an interface between micro and macro levels in supply chain performance contributing to an extended derivation of the bullwhip effect; b) a typology of the bullwhip effect contributing to broadening the positioning of the same construct; c) the bullwhip effect being seen as two-way view construct at the micro level and d) a framework ofmanagerial implications. Most important of all is that the causes and effects of the bullwhip effect have been addressed in a wider context that so far has been underestimated in literature.