An Ostrowski type inequality for double integrals in terms of \(L_p\)-norms and applications in numerical integration

Authors

  • S.S. Dragomir School of Computer Science & Mathematics, Victoria University of Technology, Australia
  • N.S. Barnett School of Computer Science & Mathematics, Victoria University of Technology, Australia
  • P. Cerone School of Computer Science & Mathematics, Victoria University of Technology, Australia

DOI:

https://doi.org/10.33993/jnaat322-744

Keywords:

Ostrowski's inequality, cubature formulae
Abstract views: 192

Abstract

An inequality of the Ostrowski type for double integrals and applications in Numerical Analysis in connection with cubature formulae are given.

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References

Dragomir, S. S. and Wang, S., A new inequality of Ostrowski's type in L₁-norm and applications to some special means and to some numerical quadrature rules, Tamkang J. of Math., 28, pp. 239-244, 1997. DOI: https://doi.org/10.5556/j.tkjm.28.1997.4320

Dragomir, S. S. and Wang, S., An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules, Computers Math. Applic., 33, pp. 15-20, 1997, https://doi.org/10.1016/S0898-1221(97)00084-9. DOI: https://doi.org/10.1016/S0898-1221(97)00084-9

Dragomir, S. S. and Wang, S., Applications of Ostrowski's inequality to the estimation of error bounds for some special means and some numerical quadrature rules, Appl. Math. Lett., 11, pp. 105-109, 1998, https://doi.org/10.1016/S0893-9659(97)00142-0. DOI: https://doi.org/10.1016/S0893-9659(97)00142-0

Dragomir, S. S. and Wang, S., A new inequality of Ostrowski's type in Lp-norm, Indian J. Math., 40, no. 3, pp. 299-304, 1998.

Mitrinović, D. S., Pecarić, J. E. and Fink, A. M., Inequalities Involving Functions and Their Integrals and Derivatives, Kluwer Academic Publishers, Dordrecht, 1994.

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Published

2003-08-01

How to Cite

Dragomir, S., Barnett, N., & Cerone, P. (2003). An Ostrowski type inequality for double integrals in terms of \(L_p\)-norms and applications in numerical integration. Rev. Anal. Numér. Théor. Approx., 32(2), 161–169. https://doi.org/10.33993/jnaat322-744

Issue

Vol. 32 No. 2 (2003)

Section

Articles

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