On the extension of the FKG inequality to n functions
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DOI: 10.1063/5.0065285
Abstract: The 1971 Fortuin–Kasteleyn–Ginibre inequality for two monotone functions on a distributive lattice is well known and has seen many applications in statistical mechanics and other fields of mathematics. In 2008, one of us (Sahi) conjectured… read more here.
Keywords: inequality; monotone functions; fkg inequality; see text ... See more keywords
Lifetime dependence models generated by multiply monotone functions
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DOI: 10.1080/03461238.2017.1405840
Abstract: Abstract We study a family of distributions generated from multiply monotone functions that includes a multivariate Pareto and, previously unidentified, exponential-Pareto distribution. We utilize an established link with Archimedean survival copulas to provide further examples,… read more here.
Keywords: monotone functions; multiply monotone; lifetime dependence; generated multiply ... See more keywords
Ordered Directionally Monotone Functions: Justification and Application
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DOI: 10.1109/tfuzz.2017.2769486
Abstract: In this paper, we introduce the notion of ordered directionally monotone function as a type of function which allows monotonicity along different directions in different points. In particular, these functions take into account the ordinal… read more here.
Keywords: monotone functions; justification application; directionally monotone; functions justification ... See more keywords
Continuity properties of weakly monotone Orlicz–Sobolev functions
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DOI: 10.1515/acv-2017-0065
Abstract: Abstract The notion of weakly monotone functions extends the classical definition of monotone function, that can be traced back to Lebesgue. It was introduced, in the framework of Sobolev spaces, by Manfredi, in connection with… read more here.
Keywords: weakly monotone; continuity properties; monotone; continuity ... See more keywords
Integral Inequalities Involving Strictly Monotone Functions
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DOI: 10.3390/math11081873
Abstract: Functional inequalities involving special functions are very useful in mathematical analysis, and several interesting results have been obtained in this topic. Several methods have been used by many authors in order to derive upper or… read more here.
Keywords: strictly monotone; inequalities involving; monotone functions; integral inequalities ... See more keywords