Stolarsky’s Inequality for Choquet-like Expectation
نویسندگان
چکیده
Expectation is the fundamental concept in statistics and probability. As two generalizations of expectation, Choquet and Choquet-like expectations are commonly used tools in generalized probability theory. This paper considers the Stolarsky inequality for two classes of Choquet-like integrals. The first class generalizes the Choquet expectation and the second class is an extension of the Sugeno integral. Moreover, a new Minkowski’s inequality without the comonotonicity condition for two classes of Choquet-like integrals is introduced. Our results significantly generalize the previous results in this field. Some examples are given to illustrate the results. c ©2016 Mathematical Institute Slovak Academy of Sciences
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Article history: Received 1 January 2012 Received in revised form 10 July 2012 Accepted 18 February 2013 Available online 26 February 2013
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