Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00211746" target="_blank" >RIV/68407700:21230/13:00211746 - isvavai.cz</a>
Alternative codes found
RIV/67985807:_____/13:00395238
Result on the web
<a href="http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6524688" target="_blank" >http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6524688</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/ISMVL.2013.1" target="_blank" >10.1109/ISMVL.2013.1</a>
Alternative languages
Result language
angličtina
Original language name
Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Mathematical Fuzzy Logic in Computer Science</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
ISMVL 2013: IEEE 43rd International Symposium on Multiple-Valued Logic
ISBN
978-0-7695-4976-7
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
346-351
Publisher name
IEEE
Place of publication
Piscataway
Event location
Toyama
Event date
May 22, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000325643000059