Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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ON THE OSTROWSKI'S INEQUALITY FOR RIEMANN-STIELTJES INTEGRAL AND APPLICATIONS

  • Dragomir, S.S. (School of Communications and Informatics, Victoria University of Technology)
  • Published : 2000.09.01

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Abstract

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.

Keywords

References

  1. GRMIA Research Report Collection v.2 no.1 On the Ostrowski's integral inequality for mappings with bounded variation and applications S. S. Dragomir
  2. On the Ostrowski inequality for the Riemann-Stieltjes integral f(t)du(t), where f is of $H\"{o}lder$ type and u is of bounded variation and applications S. S. Dragomir
  3. Appl. Math. Lett. v.11 Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules S. S. Dragomir;S. Wang
  4. Tamkang J. of Math. v.28 A new inequality of Ostrowski's type in L₁norm and applications to some special means and to some numerical quadrature rules S. S. Dragomir;S. Wang
  5. Indian Journal of Mathematics v.40 no.3 A new inequality of Ostrowski's type in $L_p$ norm S. S. Dragomir;S. Wang
  6. Inequalities for Functions and Their Integrals and Derivatives inequalities for Functions and Their integrals and Derivatives D. S. $Mitrinovi\'{c}$;J. E. $Pe\~{c}ari\'{c}$;A. M. Fink
  7. Tamkang J. of Math. v.30 no.3 The best constant in an inequality of Ostrowski type T. C. Peachey;A. Mc Andrew;S. S. Dragomir