• Korean Journal of Mathematics
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• v.27 no.3
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• pp.581-594
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• 2019

In this study a new generalization for operators of two parameters type of fractional in the unit disk is proposed. The fractional operators in this generalization are in the Srivastava-Owa sense. Concerning with the related applications, the generalized Gauss hypergeometric function is introduced. Further, some boundedness properties on Bloch space are also discussed.

• Korean Journal of Mathematics
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• v.27 no.3
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• pp.803-817
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• 2019

In this paper, we provide a new version of Steffensen inequality for p-calculus analogue in [17, 18] which is a generalization of previous results. Also, the conditions for validity of reverse to p-Steffensen inequalities are given. Lastly, we will obtain a generalization of p-Steffensen inequality to the case of monotonic functions.

• Korean Journal of Mathematics
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• v.28 no.4
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• pp.717-737
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• 2020

In this paper, we establish some weighted generalization of Opial type inequalities in two independent variables for two functions. We also obtain weighted Opial type inequalities by using p-norms. Special cases of our results reduce to the inequalities in earlier study.

• 제어로봇시스템학회:학술대회논문집
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• 2000.10a
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• pp.482-482
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• 2000

The essential requirements of neural network for human skill transfer are fast convergence, high storage capacity, and strong noise immunity. Bidirectional associative memory(BAM) suffering from low storage capacity and abundance of spurious memories is rarely used for skill transfer application though it has fast and wide association characteristics for visual data. This paper suggests generalization of classical BAM structure and new learning algorithm which uses supervised learning to guarantee perfect recall starting with correlation matrix. The generalization is validated to accelerate convergence speed, to increase storage capacity, to lessen spurious memories, to enhance noise immunity, and to enable multiple association using simulation work.

• East Asian mathematical journal
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• v.25 no.4
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• pp.469-479
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• 2009

Temperley-Lieb algebras had been generalized to web spaces for rank 2 simple Lie algebras which led us to link invariants for these Lie algebras as a generalization of Jones polynomial. Recently, Geer found a new generalization of Jones polynomial for some Lie superalgebras. In this paper, we study the quantum sl(1|1) representation theory using the web space and find a finite presentation of the representation category (for generic q) of the quantum sl(1|1).

• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.695-708
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• 2022

In this paper, we present a new definition and generalization of the first and second kinds of Daehee numbers and polynomials with the higher order. Some new results for these polynomials and numbers are derived. Furthermore, some interesting special cases of the new generalized Daehee polynomials and numbers of higher order are deduced.

• Bulletin of the Korean Mathematical Society
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• v.12 no.1
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• pp.1-3
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• 1975

• Bulletin of the Korean Mathematical Society
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• v.12 no.1
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• pp.13-16
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• 1975

• Journal of the Korean Mathematical Society
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• v.11 no.1
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• pp.33-38
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• 1974

• Journal of the Korean Mathematical Society
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• v.25 no.1
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• pp.77-82
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• 1988