Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral
Result description
The purpose of this paper is to investigate the Thunsdorffs inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral . Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorffs inequality, we prove Frank-Pick type inequality for the Sugeno integral and illustrate it by an example.
Keywords
Sugeno integralThunsdorffs inequalityFrank-Pick's inequality
The result's identifiers
Result code in IS VaVaI
Result on the web
https://www.sciencedirect.com/science/article/pii/S0096300321007670?via%3Dihub
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Related Thunsdorff type and Frank-Pick type inequalities for Sugeno integral
Original language description
The purpose of this paper is to investigate the Thunsdorffs inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral . Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorffs inequality, we prove Frank-Pick type inequality for the Sugeno integral and illustrate it by an example.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Applied Mathematics and Computation
ISSN
0096-3003
e-ISSN
1873-5649
Volume of the periodical
414
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
126683
UT code for WoS article
000703238100006
EID of the result in the Scopus database
2-s2.0-85116331369
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
2022