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International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 343191, 12 pages
http://dx.doi.org/10.1155/2012/343191
Research Article

Sharp Integral Inequalities Based on a General Four-Point Quadrature Formula via a Generalization of the Montgomery Identity

J. Pečarić1 and M. Ribičić Penava2

1Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia
2Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, 31 000 Osijek, Croatia

Received 28 March 2012; Accepted 10 July 2012

Academic Editor: Marianna Shubov

Copyright © 2012 J. Pečarić and M. Ribičić Penava. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. D. S. Mitrinović, J. E. Pečarić, and A. M. Fink, Inequalities Involving Functions and Their Integrals and Derivatives, vol. 53 of Mathematics and its Applications (East European Series), Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991.
  2. J. E. Pečarić, β€œOn the Čebyšev inequality,” Buletinul Ştiinţific al Universităţii Politehnica din Timişoara. Seria Matematică-Fizică, vol. 25, no. 39, pp. 10–11, 1980. View at Google Scholar Β· View at Zentralblatt MATH
  3. A. Aglić Aljinović and J. Pečarić, β€œOn some Ostrowski type inequalities via Montgomery identity and Taylor's formula,” Tamkang Journal of Mathematics, vol. 36, no. 3, pp. 199–218, 2005. View at Google Scholar Β· View at Zentralblatt MATH
  4. A. Aglić Aljinović, J. Pečarić, and M. Ribičić Penava, β€œSharp integral inequalities based on general two-point formulae via an extension of Montgomery's identity,” The ANZIAM Journal, vol. 51, no. 1, pp. 67–101, 2009. View at Publisher Β· View at Google Scholar Β· View at Zentralblatt MATH