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Approximating the Stieltjes integral of bounded functions and applications for three point quadrature rules

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Abstract

Sharp error estimates in approximating the Stieltjes integralwith bounded integrands and bounded integrators respectively, are given.Applications for three point quadrature rules of n time dierentiablefunctions are also provided.

참고문헌 (10)

  1. "Thre point identities and inequalities for n-timedierentiable functions", 36(2), pp.351~383 (2000)
  2. "Approximation of the Stieltjes integral and applications in numerical integration", 51(1), pp.37~47 (2006)
  3. "Some Ostrowski type inequalities forn-time dierentiable mappings and applications", 32(4), pp.697~712 (1999)
  4. "A new generalization ofthe trapezoid formula forn-time dierentiable mappings and applications", 33(4), pp.719~736 (2000)
  5. "Inequalities of Gruss type for the Stieltjes integral and applications", 26, pp.89~122 (2004)
  6. "A generalisation of Cerone's identity and applications", 23(1), pp.79~90 (2007)
  7. "Inequalities for Stieltjes integrals with convex integrators and applications", 20(2), pp.123~130 (2007)
  8. "An inequality of Gruss' type for Riemann-Stieltjes inte-gral and applications for special means", 29(4), pp.287~292 (1998)
  9. "A Gruss type inequality for mappings of bounded variation and applications tonumerical analysis", 6(3), pp.425~438 (2001)
  10. "Ostrowski type inequalities and applicationsin numerical integration" (2002), Kluwer Academic Publishers, Dordrecht

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