• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.53-63
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• 2015

In this paper, we define and study the Riemann-Stieltjes diamond-alpha integral on time scales. Many properties of this integral will be obtained. The Riemann-Stieltjes diamond-alpha integral contains the Riemann{Stieltjes integral and diamond-alpha integral as special cases.

• Honam Mathematical Journal
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• v.38 no.1
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• pp.141-149
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• 2016

In this paper, we introduce and investigate the concept of Riemann Delta-alpha fractional integral on time scales. Many properties of this integral will be obtained.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.3
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• pp.393-400
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• 2012

In this paper, we study the process of McShane delta integrals on time scales and discuss the relation between McShane delta integral and Henstock delta integral. We also prove the mono- tone convergence theorem, Fatou's Lemma and the dominated con- vergence theorems for the McShane delta integral.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.157-163
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• 2016

In this paper we introduce the Banach-valued C-delta integral on time scales and investigate some properties of these integrals.

• Journal of the Chungcheong Mathematical Society
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• v.29 no.1
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• pp.109-115
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• 2016

In this paper we introduce the interval-valued Henstock-Stieltjes integral on time scales and investigate some properties of these integrals.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.1
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• pp.71-84
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• 2013

In this paper we study some nonlinear Pachpatte type integral inequalities on time scales by using a Bihari type inequality. Our results unify some continuous inequalities and their corresponding discrete analogues, and extend these inequalities to dynamic inequalities on time scales. Furthermore, we give some examples concerning our results.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.745-751
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• 2014

In this paper we introduce the interval-valued Henstock integral on time scales and investigate some properties of these integrals.

• Wind and Structures
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• v.14 no.1
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• pp.15-34
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• 2011

Three wind-tunnel simulations of the atmospheric boundary layer (ABL) flow in suburban country exposure were generated for length scale factors 1:400, 1:250 and 1:220 to investigate scale effects in wind-tunnel simulations of the suburban ABL, to address recommended wind characteristics for suburban exposures reported in international standards, and to test redesigned experimental hardware. Investigated parameters are mean velocity, turbulence intensity, turbulent Reynolds shear stress, integral length scale of turbulence and power spectral density of velocity fluctuations. Experimental results indicate it is possible to reproduce suburban natural winds in the wind tunnel at different length scales without significant influence of the simulation length scale on airflow characteristics. However, in the wind tunnel it was not possible to reproduce two characteristic phenomena observed in full-scale: dependence of integral length scales on reference wind velocity and a linear increase in integral length scales with height. Furthermore, in international standards there is a considerable scatter of recommended values for suburban wind characteristics. In particular, recommended integral length scales in ESDU 85020 (1985) are significantly larger than in other international standards. Truncated vortex generators applied in this study proved to be successful in part-depth suburban ABL wind-tunnel simulation that yield a novel methodology in studies on wind effects on structures and air pollution dispersion.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.2
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• pp.349-357
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• 2012

In this paper we introduce the C-delta integral which generalize the McShane delta integral and investigate some properties of these integrals.

• Journal of the Chungcheong Mathematical Society
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• v.27 no.4
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• pp.661-674
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• 2014

In this paper, we define the $M_{\alpha}$-delta integral and investigate the relation between the $M_{\alpha}$ and $M_{\alpha}$-delta integrals on time scales.