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On a Certain Converse of Hölder’s Inequality

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Abstract

Recently A. P Rékopa [1] has proved the following interesting integral inequality where f(x) and g(y) are arbitrary measurable non-negative functions. The proof of (1) is quite difficult and long.

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References

  1. A. Prékopa, Logarithmic Concave Measures with Application to Stochastic Programming. Acta Sci. Math. 32 (1971), 301–316.

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  2. W. H. Young, Sur la généralisation du théorème de Parseval. C. R. Acad. Sci. Paris Sér. A—B 155 (1912), 30–33.

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© 1972 Birkhäuser Verlag Basel

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Leindler, L. (1972). On a Certain Converse of Hölder’s Inequality. In: Butzer, P.L., Kahane, JP., Szökefalvi-Nagy, B. (eds) Linear Operators and Approximation / Lineare Operatoren und Approximation. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 20. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7283-6_17

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  • DOI: https://doi.org/10.1007/978-3-0348-7283-6_17

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-7285-0

  • Online ISBN: 978-3-0348-7283-6

  • eBook Packages: Springer Book Archive

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