Abstract
The inequality under discussion gives an upper bound for the minimum difference between n real numbers in terms of the sum of the p-th powers of their absolute values. A simple proof is given for p ≥ 1 and the inequality is extended to the case 0 < p < 1.
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References
D.S. Mitrinović and G. Kalajdzić, On an inequality. Univ. Beograd Publ. Electrotehn. Fak. Ser. Mat. Fiz. No. 678 (1980), 3–9 [Math. Rev. 82m: 26019].
N. Ozeki, On the estimation of inequalities by maximum and minimum values. J. College Arts Sci. Chiba Univ. 5 (1968), 199–203 (in Japanese) [Math. Rev. 40: 7408].
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© 1984 Springer Basel AG
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Russell, D.C. (1984). Remark on an Inequality of N. Ozeki. In: Walter, W. (eds) General Inequalities 4. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6259-2_8
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DOI: https://doi.org/10.1007/978-3-0348-6259-2_8
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6261-5
Online ISBN: 978-3-0348-6259-2
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