Skip to main content
SpringerLink
Log in

On Generalizations of Ostrowski Inequality and Some Related Results

  • Published:
Czechoslovak Mathematical Journal Aims and scope Submit manuscript

Abstract

Some generalizations of the Ostrowski inequality, the Milovanović-Pečarić-Fink inequality, the Dragomir-Agarwal inequality and the Hadamard inequality are given.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A.Ostrowski: Ñber die Absolutabweichung einer di_erentierbaren Funktionen von ihren Integralmittelwort. Comment. Math. Helv. 10 (1938), 226–227.

    Google Scholar 

  2. D.S.Mitrinović, J.Pećarič and A.M.Fink: Inequalities Involving Functions and Their Integrals and Derivatives. Kluwer Acad. Publ., Dordrecht, 1991.

    Google Scholar 

  3. G.V. Milovanović and J. E. Pećarič: On generalizations of the inequality of A. Ostrowski and some related applications. Univ. Beograd. Publ. Elektrotehn. Fak., Ser. Mat. Fiz., No 544-No 576 (1976), 155–158.

    Google Scholar 

  4. A.M.Fink: Bounds of the derivation of a function from its avereges. Czechoslovak Math. J. 42(117) (1992), 289–310.

    Google Scholar 

  5. S.S.Dragomir and S.Wang: A new inequality of Ostrowski's type in L1-norm and applications to some special means and to some numerical quadrature rules. Thamkang J. Math. 28 (1997), 239–244.

    Google Scholar 

  6. S.S.Dragomir and S.Wang: A new inequality of Ostrowski's type in Lp-norm and applications to some special means and to some numerical quadrature rules. Thamkang J. Math. To appear.

  7. M.Matić and J.Pećarič and N.Ujević: On new estimation of the remainder in generalized Taylor's formula. Math. Inequal. Appl. 2 (1999), 343–361.

    Google Scholar 

  8. S.S.Dragomir and R.P.Agarwal: The inequalities for differential mappings and applications to special means of real numbers and to trapezoidal formula. Appl. Math. Lett. 11 (1998), 91–95.

    Google Scholar 

  9. C.E.M.Pearce and J.Pe£arić: Inequalities for differential mappings with applications to special means and quadrature formulas. Appl. Math. Lett 13 (2000), 51–55.

    Google Scholar 

  10. Handbook of mathematical functions with formulae, graphs and mathematical tables. National Bureau of Standards, Applied Math. Series 55, 4th printing (M. Abramowitz, I. A. Stegun, eds.). Washington, 1965.

Download references

Author information

Authors and Affiliations

  1. Department of mathematics, University of Split, Teslina 12, 21000, Split, Croatia

    L.J. Dedić & N. Ujević

  2. Faculty of textile technology, University of Zagreb, Pierottijeva 6, 10000, Zagreb, Croatia

    J. Pečarić

Authors
  1. L.J. Dedić
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Pečarić
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. Ujević
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dedić, L., Pečarić, J. & Ujević, N. On Generalizations of Ostrowski Inequality and Some Related Results. Czechoslovak Mathematical Journal 53, 173–189 (2003). https://doi.org/10.1023/A:1022987828096

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022987828096

Search

Navigation