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

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

Ostrowski's Inequality;Numerical Integration;Special Means

References

  1. 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.
  2. Inequalities for Functions and Their Integrals and Derivatives Mitrinovic, D.S.;Pecaric, J.E.;Fink, A.M.
  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 Dragomir, S.S.;Wang, S.