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  • Integral inequalities play important roles in classical probability and measure theory. Universal integrals provide a useful tool in many problems in engineering and non-linear systems where the aggregation of data is required. We discuss several inequalities including Hardy, Berwald, Barnes–Godunova–Levin, Markov and Chebyshev for a monotone measure-based universal integral. Some recent results are obtained as corollaries. Finally, we provide some applications of our results in intelligent decision support systems, estimation and information fusion.
  • Integral inequalities play important roles in classical probability and measure theory. Universal integrals provide a useful tool in many problems in engineering and non-linear systems where the aggregation of data is required. We discuss several inequalities including Hardy, Berwald, Barnes–Godunova–Levin, Markov and Chebyshev for a monotone measure-based universal integral. Some recent results are obtained as corollaries. Finally, we provide some applications of our results in intelligent decision support systems, estimation and information fusion. (en)
Title
  • Useful tools for non-linear systems: Several non-linear integral inequalities
  • Useful tools for non-linear systems: Several non-linear integral inequalities (en)
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  • Useful tools for non-linear systems: Several non-linear integral inequalities
  • Useful tools for non-linear systems: Several non-linear integral inequalities (en)
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  • RIV/67985556:_____/13:00394660!RIV14-GA0-67985556
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  • I, P(GAP402/11/0378)
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  • 1
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  • 113080
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  • RIV/67985556:_____/13:00394660
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  • Monotone measure; Comonotone functions; Integral inequalities; Universal integral (en)
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  • NL - Nizozemsko
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  • [6948BC7C6C19]
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  • 49
http://linked.open...iv/tvurceVysledku
  • Mesiar, Radko
  • Agahi, H.
  • Mohammadpour, A.
  • Vaezpour, M. S.
http://linked.open...ain/vavai/riv/wos
  • 000322428100007
issn
  • 0950-7051
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.knosys.2013.04.016
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