About: Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality     Goto   Sponge   NotDistinct   Permalink

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  • Mulholland inequality is a real functional inequality presented in 1950 in a paper by Mulholland as a generalization of the Minkowski inequality. In his paper, Mulholland has also provided a sufficient condition for the inequality to be satisfied. However, until now, it has remained an open problem whether this sufficient condition is also necessary. This paper investigates a geometric interpretation of Mulholland inequality and offers a class of functions satisfying the inequality which is strictly larger compared to the class delimited by the Mulholland's condition. Thus, it is proven that the condition is not necessary.
  • Mulholland inequality is a real functional inequality presented in 1950 in a paper by Mulholland as a generalization of the Minkowski inequality. In his paper, Mulholland has also provided a sufficient condition for the inequality to be satisfied. However, until now, it has remained an open problem whether this sufficient condition is also necessary. This paper investigates a geometric interpretation of Mulholland inequality and offers a class of functions satisfying the inequality which is strictly larger compared to the class delimited by the Mulholland's condition. Thus, it is proven that the condition is not necessary. (en)
Title
  • Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality
  • Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality (en)
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  • Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality
  • Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality (en)
skos:notation
  • RIV/68407700:21230/13:00211746!RIV14-MSM-21230___
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  • I, P(GAP202/10/1826), S
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  • 60170
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  • RIV/68407700:21230/13:00211746
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  • dominance relation; Minkowski inequality; Mulholland inequality; triangular norm (en)
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  • [28BD251F9E45]
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  • Toyama
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  • Piscataway
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  • ISMVL 2013: IEEE 43rd International Symposium on Multiple-Valued Logic
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  • Navara, Mirko
  • Sarkoci, P.
  • Petrík, M.
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  • 000325643000059
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  • 10.1109/ISMVL.2013.1
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  • IEEE
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  • 978-0-7695-4976-7
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  • 21230
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