Skip to main content
Log in

Weighted Ostrowski Type Inequalities with Application to Onepoint Integral Formula

  • Published:
Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract

We develop weighted generalization of the recently obtained Ostrowski type inequalities for continuous functions with eventually one point of non-differentiability. We apply these general result for some famous weight functions.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Niezgoda M.: A new inequality of Ostrowski-Grüss type and applications to some numerical quadrature rules. Comput. Math. Appl. 58, 589–596 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  2. Niezgoda M.: Grüss and Ostrowski type inequalities. Appl. Math. Comput. 217(23), 9779–9789 (2011)

    Article  MATH  MathSciNet  Google Scholar 

  3. Kovač S., Pečarić J.: Weighted version of general integral formula. Math. Inequal. Appl. 13(3), 579–599 (2010)

    MATH  MathSciNet  Google Scholar 

  4. Matić M., Pečarić J., Ujević N.: Generalizations of weighted version of Ostrowski’s inequality and some related results. J. Inequal. Appl. 5, 639–666 (2000)

    MATH  MathSciNet  Google Scholar 

  5. Mitrinović D.S., Pečarić J.E., Fink A.M.: Classical and New Inequalities in Analysis. Kluwer Academic Publishers, Dordrecht (1993)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. Kovač.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovač, S., Pečarić, J. & Tipurić-Spužević, S. Weighted Ostrowski Type Inequalities with Application to Onepoint Integral Formula. Mediterr. J. Math. 11, 13–30 (2014). https://doi.org/10.1007/s00009-013-0295-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00009-013-0295-8

Mathematics Subject Classification (2000)

Keywords

Navigation