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Constantin integral inequalities on time scales

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Abstract

We establish an integral inequality, on a so called time scale, related to those appearing in Constantin (J. Math. Anal. Appl. 197 (1996), 855–863) and Yang and Tan (JIPAM J. Inequal. Pure Appl. Math. 8 (2007), No. 2, Art 57). Our result can be used to obtain estimates for solutions of certain dynamic equations. Moreover, the bounds obtained in this paper are sharper than those known previously in the literature.

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Authors and Affiliations

  1. Faculty of Engineering and Natural Sciences, Lusophone University of Humanities and Technologies, 1749-024, Lisbon, Portugal

    Rui A. C. Ferreira

  2. Centre for Research on Optimization and Control (CEOC) of the University of Aveiro, Aveiro, Portugal

    Rui A. C. Ferreira

Authors
  1. Rui A. C. Ferreira
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Correspondence to Rui A. C. Ferreira.

Additional information

This work was completed with the support of the Portuguese Foundation for Science and Technology (FCT) through the PhD fellowship SFRH/BD/39816/2007.

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Ferreira, R.A.C. Constantin integral inequalities on time scales. Arch. Math. 93, 153–163 (2009). https://doi.org/10.1007/s00013-009-0028-1

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  • DOI: https://doi.org/10.1007/s00013-009-0028-1

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