충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제24권2호
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  • Pages.247-252
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  • 2011
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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GOLDEN RATIO RIESZ-NÁGY-TAKÁCS DISTRIBUTION

  • Baek, In-Soo (Department of Mathematics, Pusan University of Foreign Studies)
  • 투고 : 2011.03.03
  • 심사 : 2011.05.16
  • 발행 : 2011.06.30
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초록

We study some properties of the Riemann-Stieltjes integrals with respect to the Riesz-$N\acute{a}gy$-$Tak\acute{a}cs$ distribution $H_{a,p}$ and its inverse $H_{p,a}$ on the unit interval satisfying the equation 1 - a = $a^2$ and p = 1 - a. Using the properties of the dual distributions $H_{a,p}$ and $H_{p,a}$, we compare the Riemann-Stieltjes integrals of $H_{a,p}$ over some essential intervals with that of its inverse $H_{p,a}$ over the related intervals.

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참고문헌

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