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    STUDIA MATHEMATICA - Issue no. 1 / 2020  
         
  Article:   CHOQUET INTEGRAL ANALYTIC INEQUALITIES.

Authors:  GEORGE A. ANASTASSIOU.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2020.1.02

Published Online: 2020-03-06
Published Print: 2020-03-30
pp. 17-28
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ABSTRACT: Based on an amazing result of Sugeno [15], we are able to transfer classic analytic integral inequalities to Choquet integral setting. We give Choquet integral inequalities of the following types: fractional-Polya, Ostrowski, fractional Ostrowski, Hermite-Hadamard, Simpson and Iyengar. We provide several examples for the involved distorted Lebesgue measure.

Key words: Choquet integral, distorted Lebesgue measure, analytic inequalities, fractional inequalities, monotonicity and convexity.
 
         
     
         
         
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