Abstract
This paper presents new results related to the Jensen type inequality for the pseudo-integral. Using the Fubini type result for the pseudo-integral, i.e. the fact that the pseudo-integral with respect to the pseudo-product of two \(\sigma \)-\(\oplus \)-measures can be reduced to repeated pseudo-integrals, we obtain a refinement of the Jensen type inequality for the pseudo-integral.
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Acknowledgements
The authors acknowledge the financial support of the Ministry of Education, Science and Technological Development of the Republic of Serbia (the first author Grant No. 451-03-9/2021-14/200125, the second author and the third author were supported by the project “Innovative scientific and artistic research from the FTS (activity) domain” Grant No. 451-03-68/2020-14/200156.
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Štrboja, M., Mihailović, B., Ivetić, J. (2021). A Refinement of the Jensen Type Inequality for the Pseudo-integral. In: Pap, E. (eds) Artificial Intelligence: Theory and Applications. Studies in Computational Intelligence, vol 973. Springer, Cham. https://doi.org/10.1007/978-3-030-72711-6_3
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DOI: https://doi.org/10.1007/978-3-030-72711-6_3
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