Publication Cover
Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 8
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Original Articles

Hilbert–Pachpatte type general integral inequalities

Pages 945-961 | Received 09 Feb 2007, Accepted 20 May 2007, Published online: 24 Sep 2007

References

  • Anastassiou , G . 2001 . Quantitative Approximations , Boca Raton, New York : Chapman . Hall/CRC
  • Anastassiou , GA . 1999 . Opial type inequalities involving fractional derivatives of functions. . Nonlinear Studies , 6 ( 2 ) : 207 – 230 .
  • Canavati , JA . 1987 . The Riemann–Liouville integral . Nieuw Archief Voor Wiskunde , 5 ( 1 ) : 53 – 75 .
  • Dragomir , SS and Kim , Y-H . 2003 . Hilbert-Pachpatte type integral inequalities and their improvement. . Journal of Inequalities in Pure and Applied Mathematics , 4 ( 1 ) Article 16.http://jipam.vu.edu.au/
  • Handley , GD , Koliha , JJ and Pecaric , J . 2001 . Hilbert–Pachpatte type integral inequalities for fractional derivatives. . Fractional Calculus & Applied Analysis , 4 ( 1 ) : 37 – 46 .
  • Handley , GD , Koliha , JJ and Pecaric , J . 2001 . New Hilbert–Pachpatte type integral inequalities. . Journal of Mathematical Analysis and Applications , 257 : 238 – 250 .
  • Hardy , GH , Littlewood , JE and Polya , G . 1934 . Inequalities , Cambridge, , UK : Cambridge University Press .
  • Kreider , D , Kuller , R , Ostberg , D and Perkins , F . 1966 . An Introduction to Linear Analysis , Reading, MA : Addison-Wesley .
  • Mitrinovic , DS , Pecaric , JE and Fink , AM . 1993 . Classical and New Inequalities in Analysis , Dordrchet : Kluwer Academic .
  • Pachpatte , BG . 1999 . Inequalities similar to the integral analogue of Hilbert's inequalities. . Tamkang Journal of Mathematics , 30 ( 1 ) : 139 – 146 .
  • Widder , DV . 1928 . A Generalization of Taylor's series. . Transactions of American Mathematical Society , 30 : 126 – 154 .

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