Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Published : 2004.03.01
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Abstract

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.

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References

  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

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  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