• Honam Mathematical Journal
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• v.33 no.1
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• pp.85-91
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• 2011

We introduce and investigate the notions of super (g,g')-continuous functions and strongly $\theta$(g,g')-continuous functions on generalized topological spaces, which are strong forms of (g,g')-continuous functions. We also investigate relationships among such the functions, (g,g')-continuity and (${\delta},{\delta}'$)-continuity.

• Journal of the Korean Data and Information Science Society
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• v.20 no.6
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• pp.1191-1197
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• 2009

Most Bayesian approaches to model selection of wavelet analysis have drawbacks that computational cost is expensive to obtain accuracy for the fitted unknown function. To overcome the drawback, this article introduces loss functions which are criteria for level dependent threshold selection in wavelet based Bayesian methods with arbitrary size and regular design points. We demonstrate the utility of these criteria by four test functions and real data.

• Honam Mathematical Journal
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• v.37 no.1
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• pp.65-97
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• 2015

Orders and types of entire functions have been actively investigated by many authors. In this paper, we aim at investigating some basic properties in connection with sum and product of relative type and relative weak type of entire functions.

• Communications of the Korean Mathematical Society
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• v.9 no.4
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• pp.891-896
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• 1994

Daubechies [1] discoverd compactly supported scaling functions and corresponding wavelets with high regularities. It seems that there are no known compactly supported scaling functions other than Daubechies'. In this article, we will construct new scaling functions supproted in intervals of length $\leq 3$ without using deep analysis. While one of them is Daubechies' scaling function, others are less regular than Daubechies'. Also, we will show that Daubechies' scaling function is the unique one with highest regularity.

• Korean Journal of Mathematics
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• v.22 no.2
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• pp.383-393
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• 2014

In this paper, we introduce the concept of Choquet-Pettis integral of Banach-valued functions using the Choquet integral of real-valued functions and investigate convergence theorems for the Choquet-Pettis integral.

• Bulletin of the Korean Mathematical Society
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• v.42 no.2
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• pp.421-432
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• 2005

Suppose that an infinite graph G of bounded degree has finite number of ends, each of which is p-regular, where $1. Then we can identify all the positive (bounded, respectively) p-harmonic functions on G.

• Communications of the Korean Mathematical Society
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• v.18 no.2
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• pp.355-366
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• 2003

In this paper, we have some characterizations of fuzzy semi-irresolute and strongly irresolute functions.

• Journal of the Chungcheong Mathematical Society
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• v.23 no.3
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• pp.481-486
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• 2010

In this paper, we introduce the concepts of strongly c-convex( strongly c-concave) function, almost c-convex function on preconvex spaces. We investigate the relationships between such concepts and several types of preconvex sets.

• Kyungpook Mathematical Journal
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• v.15 no.1
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• pp.83-87
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• 1975

• Kyungpook Mathematical Journal
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• v.23 no.1
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• pp.63-68
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• 1983