General Hardy type inequality for seminormed fuzzy integrals (Q979289)
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scientific article; zbMATH DE number 5726764
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General Hardy type inequality for seminormed fuzzy integrals |
scientific article; zbMATH DE number 5726764 |
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General Hardy type inequality for seminormed fuzzy integrals (English)
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25 June 2010
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The classical Hardy inequality \(\int_0^\infty (\frac Fx)^p\,dx< (\frac p{p-1})^p \int_0^\infty f^p(x) \,dx\) is generalized for seminormed fuzzy integrals. Hardy type inequalities based on an aggregation function for seminormed fuzzy integrals are shown. As these integrals generalize Sugeno integrals, also the Hardy type inequality for a Sugeno integral is obtained.
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non-additive measure
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fuzzy integral
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Hardy's inequality
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Sugeno integral
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