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ON THE FUNCTIONS OF BOUNDED ${\kappa}{\phi}$-VARIATIONS(I)  

Park, Jae-Keun (Department of Mathematics, Hanseo University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 487-498 More about this Journal
Abstract
For some $\phi$-sequences $\phi_1$, $\phi_2$ and $\phi_3$, and $\kappa$-function $\kappa_1$, $\kappa_2$ and $\kappa_3$ with $\kappa_1^{-1}(x)\kappa_2^{-1}(x)\;{\geq}\;\kappa_3^{-1}(x)$ for $x\;{\geq}\;0$, the Luxemburg norm is lower semi-continuous on ${\kappa}{\phi}BV_0$, and some specialized equivalent conditions are considered.
Keywords
Bounded variation; Bounded $\phi$-variation; Bounded \kappa$-variation;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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