대한수학회지 (Journal of the Korean Mathematical Society)

  • 제41권2호
  • /
  • Pages.249-264
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  • 2004
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  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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NEW ESTIMATES OF THE CEBYSEV FUNCTIONAL FOR STIELTJES INTEGRALS AND APPLICATIONS

  • Dragomir, S.S. (School of Computer Science & Mathematics Victoria University of Technology)
  • 발행 : 2004.03.01
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초록

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

키워드

참고문헌

  1. RGMIA Res. Rep. Coll v.5 no.3 Sharp bounds of Cebysev functional for Stieltjes integrals and applications S.S.Dragomir
  2. Korean J. Comput. Appl. Math. v.7 no.3 On the Ostrowski's inequality for Riemann-Stieltjes integral and applications S.S.Dragomir
  3. Optimisation and Realted Topics Some inequalities for Riemann-Stieltjes integral and applications S.S.Dragomir;A.Rubinov(ed.)
  4. Nonlinear Anal. v.47 no.4 Some inequalities of midpoint and trapezoid type for the Riemann-Stieltjes integral S.S.Dragomir https://doi.org/10.1016/S0362-546X(01)00357-1
  5. J. KSIAM v.5 no.1 On the Ostrowski inequality for Riemann-Stieltjes integral where f is of holder type and u is of bounded variation and applications S.S.Dragomir

피인용 문헌

  1. New Grüss type inequalities for double integrals vol.228, 2014, https://doi.org/10.1016/j.amc.2013.11.093
  2. Bounding the Čebyšev functional for the Riemann–Stieltjes integral via a Beesack inequality and applications vol.58, pp.6, 2009, https://doi.org/10.1016/j.camwa.2009.07.029
  3. Norm inequalities of Čebyšev type for power series in Banach algebras vol.2014, pp.1, 2014, https://doi.org/10.1186/1029-242X-2014-294