Coincidences of the Concave Integral and the Pan-Integral
Faculty of Science, Huzhou Teacher’s College, Huzhou 313000, China
School of Sciences, Communication University of China, Beijing 100024, China
Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05 Bratislava, Slovakia
Institute of Information Theory and Automation of the CAS, Pod Vodárenskou věží 4, 182 08 Prague, Czech Republic
Author to whom correspondence should be addressed.
Academic Editor: Hari M. Srivastava
Received: 28 May 2017 / Revised: 8 June 2017 / Accepted: 13 June 2017 / Published: 16 June 2017
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.
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MDPI and ACS Style
Ouyang, Y.; Li, J.; Mesiar, R. Coincidences of the Concave Integral and the Pan-Integral. Symmetry 2017, 9, 90.
Ouyang Y, Li J, Mesiar R. Coincidences of the Concave Integral and the Pan-Integral. Symmetry. 2017; 9(6):90.
Ouyang, Yao; Li, Jun; Mesiar, Radko. 2017. "Coincidences of the Concave Integral and the Pan-Integral." Symmetry 9, no. 6: 90.
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