Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/67985807:_____/13:00395238

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Alternative proof of Mulholland's theorem and new solutions to {M}ulholland inequality

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GAP202%2F10%2F1826" target="_blank" >GAP202/10/1826: Matematická fuzzy logika v informatice</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2013

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

ISMVL 2013: IEEE 43rd International Symposium on Multiple-Valued Logic

ISBN

978-0-7695-4976-7

ISSN

—

e-ISSN

—

Počet stran výsledku

6

Strana od-do

346-351

Název nakladatele

IEEE

Místo vydání

Piscataway

Místo konání akce

Toyama

Datum konání akce

22. 5. 2013

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000325643000059