• Korean Journal of Mathematics
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• v.10 no.2
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• pp.123-130
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• 2002

In this paper we introduce the concepts of Denjoy-Stieltjes-Dunford, Denjoy-Stieltjes-Pettis and Denjoy-Stieltjes-Bochner integrals of Banach-valued functions and then prove some properties of them.

• Journal of the Korean Mathematical Society
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• v.48 no.4
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• pp.703-725
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• 2011

In this paper, we establish the vector-valued inequalities for the commutators of singular integrals with rough kernels. In particular, our results can essentially improve some well-known results.

• Journal of the Korean Mathematical Society
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• v.41 no.2
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• pp.249-264
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• 2004

In this paper, some new estimates of the Cebysev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.

• Bulletin of the Korean Mathematical Society
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• v.41 no.2
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• pp.221-233
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• 2004

In this paper we introduce the concept of the McShane-Stieltjes integrals of interval-valued functions and fuzzy-number-valued functions and investigate some of their properties.

• Korean Journal of Mathematics
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• v.11 no.1
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• pp.17-30
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• 2003

In this paper, we use a generalized Brownian motion process to define a translation theorem. First we establish the translation theorem for function space integrals. We then obtain the general translation theorem for functionals on function space.

• 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 Korean Mathematical Society
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• v.33 no.1
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• pp.57-68
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• 1996

In the classical analysis there are various theorems which permit us to interchange limits and infinite sums, limits and integrals, integrals and infinite sums, etc. The infinite products as well as the infinite series play an important role in different branches of mathematics.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.429-443
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• 2004

In this paper, using Zhang, Guo and Liu's comments in [17], we define interval-valued functionals and investigate their properties. Furthermore, we discuss some applications of interval-valued Choquet expectations.

• 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.

• Honam Mathematical Journal
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• v.20 no.1
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• pp.97-109
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• 1998

We first obtain the white noise calculus to the computation of Feynman integral for a generalized function, according to the definition of Feynman integrals by T. Hida and L. Streit. We next give the translation theorem for Feynman integral of a generalized function.