• Journal of applied mathematics & informatics
• /
• 제25권1_2호
• /
• pp.525-531
• /
• 2007

We newly introduce the concept of summable in measure and investigate on some its properties. In addition to this, we consider a size of given series by means of we are giving Lebesgue measure to an associated series.

• 충청수학회지
• /
• 제19권4호
• /
• pp.299-312
• /
• 2006

In this paper, we introduce interior integral and prove uniform convergence theorems for the interior integral.

• 대한수학회논문집
• /
• 제11권4호
• /
• pp.1117-1122
• /
• 1996

A class of nonlinear Markov processes on the real line is considered, and a functional central limit theorem is proved for the functions of bounded variation on the real line by identifying a broad subset of the range of the generator.

• Korean Journal of Mathematics
• /
• 제10권2호
• /
• pp.103-116
• /
• 2002

We characterize operators between Banach spaces sending compact sets into sets that lie in the range of a vector measure. Further, we describe operators between Banach spaces taking compact sets into sets that lie in the range of a vector measure of bounded variation.

• Korean Journal of Mathematics
• /
• 제11권2호
• /
• pp.79-84
• /
• 2003

In this paper, we obtain the sharp estimates for co-efficients of harmonic, orientation-preserving, univalent mappings defined on ${\Delta}=\{z:{\mid}z{\mid}>1\}$ when harmonic mappings are of bounded variation on ${\mid}z{\mid}=1$.

• 대한수학회논문집
• /
• 제13권1호
• /
• pp.37-59
• /
• 1998

We prove that solutions $u^\epsilon$ for the mixed hyperbolic-elliptic system of conservation laws with the viscosity term are total variation bounded uniformly in $\epsilon$ and that the solution $u^\epsilon$ converges to the solution for the mixed hyperbolic-elliptic Riemann problem as $\epsilon \to 0$.

• East Asian mathematical journal
• /
• 제24권2호
• /
• pp.201-212
• /
• 2008

We characterize operators between Banach spaces sending unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure of bounded variation. Further, we describe operators between Banach spaces taking unconditionally weakly p-summable sequences into sequences that lie in the range of a vector measure.

• Kyungpook Mathematical Journal
• /
• 제54권3호
• /
• pp.365-374
• /
• 2014

In this paper, we introduce a new subclass of meromorphic functions defined in the punctured unit disc. We derive inclusion relationships, radius problem and some other interesting properties of this class are investigated.

• 충청수학회지
• /
• 제17권2호
• /
• pp.197-203
• /
• 2004

We find some properties of a stochastic processX(t, ${\omega}$) ${\in}L^2_{s.a.p.}$ which is of bounded variation.

• East Asian mathematical journal
• /
• 제35권3호
• /
• pp.297-303
• /
• 2019

In this paper, the author introduces the class $L^p$-BV of functions which are of bounded variation in the sense of $L^p$-norm and investigates the degree of convergence for Fourier series of functions belonging to this class.