{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T12:31:50Z","timestamp":1781353910230,"version":"3.54.1"},"reference-count":35,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T00:00:00Z","timestamp":1497571200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this note, we discuss when the concave integral coincides with the pan- integral with respect to the standard arithmetic operations + and \u00b7. 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.<\/jats:p>","DOI":"10.3390\/sym9060090","type":"journal-article","created":{"date-parts":[[2017,6,16]],"date-time":"2017-06-16T10:06:31Z","timestamp":1497607591000},"page":"90","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Coincidences of the Concave Integral and the Pan-Integral"],"prefix":"10.3390","volume":"9","author":[{"given":"Yao","family":"Ouyang","sequence":"first","affiliation":[{"name":"Faculty of Science, Huzhou Teacher\u2019s College, Huzhou 313000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jun","family":"Li","sequence":"additional","affiliation":[{"name":"School of Sciences, Communication University of China, Beijing 100024, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"},{"name":"Institute of Information Theory and Automation of the CAS, Pod Vod\u00e1renskou v\u011b\u017e\u00ed 4, 182 08 Prague, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,6,16]]},"reference":[{"key":"ref_1","unstructured":"Riemann, B. 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