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New estimates of the \v{C}eby\v{s}ev functional for Stieltjes integrals and applications

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Abstract

In this paper, some new estimates of the ˇCebyˇsev functional for Stieltjes integrals are provided. Applications for quadrature formulae in approximating the Riemann-Stieltjes integral are also given.

참고문헌 (5)

  1. "Sharp bounds of Cebysev functional for Stieltjes integrals andapplications", 5(3) (2002)
  2. "On the Ostrowskis inequality for Riemann-Stieltjes integral and applica-tions", 7(3), pp.611~627 (2000)
  3. "Some inequalities for Riemann-Stieltjes integral and applications", pp.197~235 (2000), Kluwer Academic Publishers
  4. "Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjesintegral", 47(4), pp.2333~2340 (2001)
  5. "On the Ostrowski inequality for Riemann-Stieltjes integral where f is ofH?older type and u is of bounded variation and applications", 5(1), pp.35~45 (2001)

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