Skip to main content
SpringerLink
Log in

On the Weighted Ostrowski-type Integral Inequality for Double Integrals

  • Research Article - Mathematics
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

In this paper, we establish a new weighted Ostrowski-type inequality for double integrals involving functions of two independent variables by using fairly elementary analysis.

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. Ahmad F., Barnett N.S., Dragomir S.S.: New weighted Ostrowski and Cebysev type inequalities. Nonlinear analysis: theory. Methods Appl. 71(12), 1408–1412 (2009)

    Article  MathSciNet  Google Scholar 

  2. Ahmad F., Rafiq A., Mir N.A.: Weighted Ostrowski type inequality for twice differentiable mappings. Glob. J. Res. Pure Appl. Math. 2(2), 147–154 (2006)

    MathSciNet  MATH  Google Scholar 

  3. Barnett N.S., Dragomir S.S.: An Ostrowski type inequality for double integrals and applications for cubature formulae. Soochow J. Math. 27(1), 109–114 (2001)

    MathSciNet  Google Scholar 

  4. Dragomir S.S., Barnett N.S., Cerone P.: An n-dimensional version of Ostrowski’s inequality for mappings of Hölder type. RGMIA Res. Pep. Coll. 2(2), 169–180 (1999)

    Google Scholar 

  5. Ostrowski A.M.: Über die Absolutabweichung einer differentiierbaren Funktion von ihrem Integralmittelwert. Comment. Math. Helv. 10, 226–227 (1938)

    Article  MathSciNet  Google Scholar 

  6. Pachpatte B.G.: On an inequality of Ostrowski type in three independent variables. J. Math. Anal. Appl. 249, 583–591 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  7. Pachpatte B.G.: On a new Ostrowski type inequality in two independent variables. Tamkang J. Math. 32(1), 45–49 (2001)

    MathSciNet  MATH  Google Scholar 

  8. Pachpatte B.G.: A new Ostrowski type inequality for double integrals. Soochow J. Math. 32(2), 317–322 (2006)

    MathSciNet  MATH  Google Scholar 

  9. Rafiq A., Ahmad F.: Another weighted Ostrowski-Grüss type inequality for twice differentiable mappings. Kragujevac Journal of Mathematics 31, 43–51 (2008)

    MathSciNet  MATH  Google Scholar 

  10. Sarikaya M.Z.: On the Ostrowski type integral inequality. Acta Math. Univ. Comenianae, vol. LXXIX 1, 129–134 (2010)

    MathSciNet  Google Scholar 

  11. Ujević N.: Some double integral inequalities and applications. Appl. Math. E-Notes 7, 93–101 (2007)

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Science and Arts, Department of Mathematics, Düzce University, Konuralp Campus, Düzce, Turkey

    Mehmet Zeki Sarikaya

  2. Faculty of Science and Arts, Department of Mathematics, Afyon Kocatepe University, Afyon, Turkey

    Hasan Ogunmez

Authors
  1. Mehmet Zeki Sarikaya
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hasan Ogunmez
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mehmet Zeki Sarikaya.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sarikaya, M.Z., Ogunmez, H. On the Weighted Ostrowski-type Integral Inequality for Double Integrals. Arab J Sci Eng 36, 1153–1160 (2011). https://doi.org/10.1007/s13369-011-0102-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-011-0102-4

Keywords

Mathematics Subject Classification (2010)

Search

Navigation