Weighted Opial inequalities

Authors

  • J. J. Koliha
  • J. Pecaric

DOI:

https://doi.org/10.5556/j.tkjm.33.2002.308

Abstract

This paper presents a class of very general weighted Opial type inequalities. The notivation comes from the monograph of Agarwal and Pang (Opial Inequalities with Applications in Differential and Difference Equations, Kluwer Acad., Dordrecht 1995) and the work of Anastassiou and Pecaric (J. Math. Anal. Appl. 239 (1999), 402-418).  Assuming only a very general inequality, we extend the latter paper in several directions.  A new result generalizing the original Opial's inequality is obtained, and applications to fractional derivatives are given.

Author Biographies

J. J. Koliha

Department of Mathematics and Statistics, University of Melbourne, VIC 3010, Australia.

J. Pecaric

Faculty of Textile Technology, University of Zagreb, 10000 Zagreb, Croatia.

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Published

2002-03-31

How to Cite

Koliha, J. J., & Pecaric, J. (2002). Weighted Opial inequalities. Tamkang Journal of Mathematics, 33(1), 83-92. https://doi.org/10.5556/j.tkjm.33.2002.308

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Papers