• 제목/요약/키워드: Ostrowski's Inequality

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ON THE OSTROWSKI'S INEQUALITY FOR RIEMANN-STIELTJES INTEGRAL AND APPLICATIONS

  • Dragomir, S.S.
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.843-859
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    • 2000
  • An Ostrowski type integral inequality for the Riemann-Stieltjes integral ${\int^b}_a$ f(t) du(t), where f is assumed to be of bounded variation on [a, b] and u is of r - H - $H\"{o}lder$ type on the same interval, is given. Applications to the approximation problem of the Riemann-Stieltjes integral in terms of Riemann-Stieltjes sums are also pointed out.