| bibtype |
J -
Journal Article
|
| ARLID |
0441980 |
| utime |
20240103205830.5 |
| mtime |
20150415235959.9 |
| WOS |
000348259500009 |
| SCOPUS |
84919622956 |
| DOI |
10.1016/j.jmaa.2014.11.058 |
| title
(primary) (eng) |
Relationship between the concave integrals and the pan-integrals on finite spaces |
| specification |
| page_count |
13 s. |
| media_type |
P |
|
| serial |
| ARLID |
cav_un_epca*0257017 |
| ISSN |
0022-247X |
| title
|
Journal of Mathematical Analysis and Applications |
| volume_id |
424 |
| volume |
2 (2015) |
| page_num |
975-987 |
| publisher |
|
|
| keyword |
Monotone measure Minimal atom |
| keyword |
Concave integral |
| keyword |
Pan-integral |
| keyword |
Minimal atom |
| author
(primary) |
| ARLID |
cav_un_auth*0258953 |
| name1 |
Ouyang |
| name2 |
Y. |
| country |
CN |
| garant |
K |
| share |
30 |
|
| author
|
| ARLID |
cav_un_auth*0205590 |
| name1 |
Li |
| name2 |
J. |
| country |
CN |
| share |
30 |
|
| author
|
| ARLID |
cav_un_auth*0101163 |
| name1 |
Mesiar |
| name2 |
Radko |
| full_dept (cz) |
Ekonometrie |
| full_dept |
Department of Econometrics |
| department (cz) |
E |
| department |
E |
| institution |
UTIA-B |
| full_dept |
Department of Econometrics |
| share |
40 |
| fullinstit |
Ústav teorie informace a automatizace AV ČR, v. v. i. |
|
| source |
|
| cas_special |
| abstract
(eng) |
This study discusses the relationship between the concave integrals and the pan-integrals on finite spaces. The minimal atom of a monotone measure is introduced and some properties are investigated. By means of two important structure characteristics related to minimal atoms: minimal atoms disjointness property and subadditivity for minimal atoms, a necessary and sufficient condition is given that the concave integral coincides with the pan-integral with respect to the standard arithmetic operations + and on finite spaces. Following this result, we have shown that these two integrals coincide if the underlying monotone measure is subadditive. |
| reportyear |
2016 |
| RIV |
BA |
| num_of_auth |
3 |
| inst_support |
RVO:67985556 |
| permalink |
http://hdl.handle.net/11104/0246074 |
| confidential |
S |
| mrcbT16-e |
MATHEMATICS|MATHEMATICSAPPLIED |
| mrcbT16-j |
0.712 |
| mrcbT16-s |
1.150 |
| mrcbT16-4 |
Q1 |
| mrcbT16-B |
57.178 |
| mrcbT16-C |
73.881 |
| mrcbT16-D |
Q2 |
| mrcbT16-E |
Q1 |
| arlyear |
2015 |
| mrcbU14 |
84919622956 SCOPUS |
| mrcbU34 |
000348259500009 WOS |
| mrcbU63 |
cav_un_epca*0257017 Journal of Mathematical Analysis and Applications 0022-247X 1096-0813 Roč. 424 č. 2 2015 975 987 Elsevier |
|