Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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AN INEQUALITY OF OSTROWSKI TYPE FOR MAPPINGS WHOSE SECOND DERIVATIVES BELONG TO L1(a, b) AND APPLICATIONS

  • CERONE, P. (School of Communications and Informatics, Victoria University of Technology) ;
  • DRAGOMIR, S.S. (School of Communications and Informatics, Victoria University of Technology) ;
  • ROUMELIOTIS, J. (School of Communications and Informatics, Victoria University of Technology)
  • Received : 1998.08.21
  • Published : 1999.07.30
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Abstract

An inequality of Ostrowski type for twice differentiable mappings whose derivatives belong to $L_{1}(a,\;b)$ and applications in Numerical Integration and for special means (logarithmic mean, identric mean, p-logarithmic mean etc...) are given.

Keywords

References

  1. 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 Dragomir, S.S.;Wang, S.
  2. Tamkang J. of Math. v.28 A new inequality of Ostrowski's type in $L_1$ -norm and applications to some special means and to some numerical quadrature rules Dragomir, S.S.;Wang, S.
  3. Inequalities for Functions and Their Integrals and Derivatives Mitrinovic, D.S.;Pecaric, J.E.;Fink, A.M.