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Properties of extremal families of \(MN\)-convex (\(MN\)-concave) functions

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Publication:1697614
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DOI10.1016/j.fss.2016.12.003zbMath1488.26040OpenAlexW2560481562MaRDI QIDQ1697614

Susana Montes, Vladimír Janiš, Józef Drewniak, Urszula Bentkowska, Susana Díaz

Publication date: 20 February 2018

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2016.12.003


zbMATH Keywords

convex functionmeanquasi-convexityaggregation functionconcave functionlogarithmic convexitygeometric convexity\(MN\)-concavity\(MN\)-convexity


Mathematics Subject Classification ID

Convexity of real functions of several variables, generalizations (26B25)





Cites Work

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  • Aggregation functions on bounded partially ordered sets and their classification
  • Aggregation functions: means
  • Generalized convexity and inequalities
  • When M-convexity of a function implies its N-convexity for some means M and N
  • Convexity according to means
  • Abstract Convexity, Some Relations and Applications
  • LOCALLY INTERNAL AGGREGATION FUNCTIONS
  • An inconsistency equation involving means
  • Convex functions and their applications. A contemporary approach




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