Liapunov‐type inequality for universal integral | Zendy

Agahi Hamzeh | Zendy; Mohammadpour Adel | Zendy; Mesiar Radko | Zendy; Vaezpour S. Mansour | Zendy

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Liapunov‐type inequality for universal integral

Author(s) -

Agahi Hamzeh,

Mohammadpour Adel,

Mesiar Radko,

Vaezpour S. Mansour

Publication year - 2012

Publication title -

international journal of intelligent systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.291

H-Index - 87

eISSN - 1098-111X

pISSN - 0884-8173

DOI - 10.1002/int.21553

Subject(s) - choquet integral , lemma (botany) , mathematics , inequality , type (biology) , daniell integral , nonlinear system , calculus (dental) , mathematical economics , algebra over a field , integral equation , pure mathematics , computer science , singular integral , mathematical analysis , fuzzy logic , artificial intelligence , ecology , medicine , physics , poaceae , dentistry , quantum mechanics , biology

The Choquet integral and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. In this paper, previous results of Hong ( Nonlinear Analysis 2011 74:7296–7303) are improved by relaxing some of their requirements. Carlson's, Sandor's, Bushell–Okrasinski's type inequalities and Fatou's lemma for universal integral are studied in a rather general form, thus generalizing some recent results. © 2012 Wiley Periodicals, Inc.

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