Journal Article

**serial: **Applied Mathematics and Computation vol.217, 8 (2010), p. 4100-4108

**research: **
CEZ:AV0Z10750506

**project(s): **GA402/08/0618, GA ČR

**keywords: **Berwald's inequality,
Nonadditive measure,
Sugeno integral

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**abstract (eng): **

Nonadditive measure is a generalization of additive probability measure. Sugeno integral is a useful tool in several theoretical and applied statistics which has been built on non-additive measure. Integral inequalities play important roles in classical probability and measure theory. The classical Berwald integral inequality is one of the famous inequalities. This inequality turns out to have interesting applications in information theory. In this paper, Berwald type inequality for the Sugeno integral based on a concave function is studied. Several examples are given to illustrate the validity of this inequality. Finally, a conclusion is drawn and a problem for further investigations is given.

**RIV: **BA