호남수학학술지 (Honam Mathematical Journal)

  • 제21권1호
  • /
  • Pages.127-137
  • /
  • 1999
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

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)
  • 투고 : 1998.08.21
  • 발행 : 1999.07.30
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초록

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.

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참고문헌

  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.