• Journal of applied mathematics & informatics
• /
• 제28권1_2호
• /
• pp.487-498
• /
• 2010

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.

• Journal of applied mathematics & informatics
• /
• 제27권1_2호
• /
• pp.291-299
• /
• 2009

For $G_{\phi}$-sequences ${\phi}_i$ and ${\kappa}$-functions ${\kappa}_i$(i = 1,2,3) we obtain the most general $H{\ddot{o}}lder$ type inequalities on the functions of $G_{\kappa}G_{\phi}$-bounded variations.

• 대한수학회보
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• 제23권2호
• /
• pp.171-175
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• 1986