Coincidences of the concave integral and the pan-integral
Result description
In this note, we discuss when the concave integral coincides with the pan- integral with respect to the standard arithmetic operations + and . The subadditivity of the underlying monotone measure is one sufficient condition for this equality. We show also another sufficient condition, which, in the case of finite spaces, is necessary, too.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Coincidences of the concave integral and the pan-integral
Original language description
In this note, we discuss when the concave integral coincides with the pan- integral with respect to the standard arithmetic operations + and . The subadditivity of the underlying monotone measure is one sufficient condition for this equality. We show also another sufficient condition, which, in the case of finite spaces, is necessary, too.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry-Basel
ISSN
2073-8994
e-ISSN
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Volume of the periodical
9
Issue of the periodical within the volume
6
Country of publishing house
CH - SWITZERLAND
Number of pages
9
Pages from-to
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UT code for WoS article
000404183500012
EID of the result in the Scopus database
2-s2.0-85021179867
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2017