Abstract
The aim of this note is to provide not only a short and simple proof for an extension of (1), but also to establish a converse inequality of this extension. Furthermore, we show that Talenti’s inequality holds for a class of functions which includes the set of decreasing functions as a proper subset.
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© 1992 Springer Basel AG
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Lemmert, R., Alzer, H. (1992). A note on an inequality of G. Talenti. 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_35
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DOI: https://doi.org/10.1007/978-3-0348-7565-3_35
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-7567-7
Online ISBN: 978-3-0348-7565-3
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