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Fractional Order Inequalities of Hardy Type

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Analytic and Geometric Inequalities and Applications

Part of the book series: Mathematics and Its Applications ((MAIA,volume 478))

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Abstract

Some necessary and sufficient conditions on the weight functions are given which allow to estimate the weighted norm of the fractional order λ, 0 < λ < 1, by the weighted norm of the first order derivative.

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References

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Author information

Authors and Affiliations

  1. Mathematical Institute, Czech Academy of Sciences, Žitná 25, 115 67, Praha 1, Czech Republic

    Alois Kufner

Authors
  1. Alois Kufner
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Editor information

Editors and Affiliations

  1. Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens, Greece

    Themistocles M. Rassias

  2. Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia, Canada

    Hari M. Srivastava

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© 1999 Springer Science+Business Media Dordrecht

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Kufner, A. (1999). Fractional Order Inequalities of Hardy Type. In: Rassias, T.M., Srivastava, H.M. (eds) Analytic and Geometric Inequalities and Applications. Mathematics and Its Applications, vol 478. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4577-0_11

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  • DOI: https://doi.org/10.1007/978-94-011-4577-0_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5938-1

  • Online ISBN: 978-94-011-4577-0

  • eBook Packages: Springer Book Archive

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