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On the Jensen functional and strong convexity

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Publication:1695604
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DOI10.1007/s40840-015-0293-zzbMath1387.26028OpenAlexW2224587364MaRDI QIDQ1695604

Nicuşor Minculete, Flavia-Corina Mitroi-Symeonidis

Publication date: 7 February 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0293-z


zbMATH Keywords

Jensen functionalstrongly convex function


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)


Related Items (3)

On Jensen-Rényi and Jeffreys-Rényi type \(f\)-divergences induced by convex functions ⋮ Coordinate strongly s-convex functions and related results ⋮ Integral inequalities involving strongly convex functions



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Remarks on strongly convex functions
  • On \(t\)-convex functions
  • Probabilistic characterization of strong convexity
  • Estimating the normalized Jensen functional
  • Connections Between the Jensen and the Chebychev Functionals
  • Bounds for the normalised Jensen functional




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