Abstract
The mean-value theorem of M. Riesz is valid only for exponents in the range (−1,0]. It is here shown that the theorem can be extended to greater exponents in a modified form by introducing adequate factors which yield a positivity property. Several directions for applications are indicated.
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© 1983 Springer Basel AG
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Türke, H., Zeller, K. (1983). Riesz Mean-Value Theorem Extended. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_39
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DOI: https://doi.org/10.1007/978-3-0348-6290-5_39
Publisher Name: Birkhäuser, Basel
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