• Title/Summary/Keyword: $\textsc{k}{\phi}-bounded$ variation

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FUNCTIONS OF $_{K}G_{\phi}$-BOUNDED VARIATIONS

  • Park, Jaekeun;Cho, Seong-Hoon
    • Journal of applied mathematics & informatics
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    • v.13 no.1_2
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    • pp.447-455
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    • 2003
  • For some sequnces of monotone nondecreasing convex $\Phi$-functions $\Phi$$_1$, $\Phi$$_2$ and $\Phi$$_3$and $textsc{k}$-functions $textsc{k}$$_1$, $textsc{k}$$_2$ and $textsc{k}$$_3$, we obtain the most general Holder type inequalities, and some special cases are considered for the functions of $textsc{k}$G$\Phi$-bounded variations.

RIEMANN-STIELTJES INTEGRATION OF FUNCTIONS OF $\textsc{k}{\phi}-BOUNDED$ VARIATIONS

  • JAEKEUN PARK
    • Journal of applied mathematics & informatics
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    • v.4 no.2
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    • pp.545-553
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    • 1997
  • By using the decreasing rearrangement of nonoverlapping subintervals of a closed bounded intervals and L.C.young's series for two ø-sequences we obtain some results concerning Riemann-Stieltijes integrals of functions of $\textsc{k}{\phi}-bounded$ variations.