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Remarks

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General Inequalities 6

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Abstract

Let Δ0 denote the linear manifold of the space L 2[0,π] defined by

$${\Delta _0}: = \left\{ {f:[0,\;\pi ] \to R|f,{f^l} \in AC[0,\;\pi ]\quad and\quad {f^{ll}} \in {L^2}[0,\;\pi ]} \right\}.$$

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References

  1. C. Bennewitz, A general version of the Hardy-Littewood-Pólya-Everitt (HELP) inequality. Proc. Roy. Soc. Edinb. (A) 97 (1984), 9–20.

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  2. C. Bennewitz, The HELP inequality in the regular case. In: General Inequalities 5 (Proc. Oberwolfach, 1986), edited by W. Walter, Birkhäuser-Verlag, Basel, 1987.

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  3. W.D. Evans and W.N. Everitt, HELP inequalities for limit-circle and regular problems. Proc. Roy. Soc. London A 432 (1991), 367–390.

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  4. G.H. Hardy, Prolegomena to a chapter on inequalities. J. London Math. Soc. 4 (1929), 61–78.

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Authors and Affiliations

  1. Department of Computing Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff, CF2 4YN, UK

    B. M. Brown

  2. School of Mathematics, University of Wales, College of Cardiff, Senghennydd Road, Cardiff, CF2 4AG, UK

    W. D. Evans

  3. School of Mathematics and Statistics, The University of Birmingham, Birmingham, B15 2TT, UK

    W. N. Everitt

Authors
  1. B. M. Brown
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  2. W. D. Evans
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  3. W. N. Everitt
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Editor information

Editors and Affiliations

  1. Mathematisches Institut I, Universität Karlsruhe, Kaiserstrasse 12, D-W-7500, Karlsruhe 1, Germany

    Wolfgang Walter

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© 1992 Springer Basel AG

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Brown, B.M., Evans, W.D., Everitt, W.N. (1992). Remarks. In: Walter, W. (eds) General Inequalities 6. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 103. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7565-3_41

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  • DOI: https://doi.org/10.1007/978-3-0348-7565-3_41

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7567-7

  • Online ISBN: 978-3-0348-7565-3

  • eBook Packages: Springer Book Archive

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