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Variations on the theme of the inequality (f′)2≦2f sup |f″|

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Abstract

Various generalizations of the inequality mentioned in the title are given. The estimates obtained are of pointwise as well as of integral character. In addition to non-negative functions, also those without simple zeros are considered.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Leningrad University, Bibliotečnaja pl. 2, 198904, Petrodvorets, USSR

    Vladimir G. Maz'ja

  2. Mathematical Institute, Czech. Acad. Sci., Žitná 25, 115 67, Praha 1, Czechoslovakia

    Alois Kufner

Authors
  1. Vladimir G. Maz'ja
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  2. Alois Kufner
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Maz'ja, V.G., Kufner, A. Variations on the theme of the inequality (f′)2≦2f sup |f″|. Manuscripta Math 56, 89–104 (1986). https://doi.org/10.1007/BF01171035

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  • DOI: https://doi.org/10.1007/BF01171035

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