An integral Jensen inequality for convex multifunctions

DOI10.1007/BF03323058zbMath0829.26011MaRDI QIDQ1895200

Janusz Matkowski, Kazimierz Nikodem

Publication date: 21 January 1996

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jensen inequalityintegral inequalityset-valued functionintegrable selectionsconvex multifunctions

Mathematics Subject Classification ID

Set-valued functions (26E25) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (12)

Fractional inclusions of the Hermite-Hadamard type for \(m\)-polynomial convex interval-valued functions ⋮ New Jensen and Hermite-Hadamard type inequalities for \(h\)-convex interval-valued functions ⋮ Set Inclusions of the Hermite-Hadamard Type for $m$ Polynomial Harmonically Convex Interval Valued Functions ⋮ Hadamard inequality and a refinement of Jensen inequality for set-valued functions ⋮ Converse Jensen inequality for strongly convex set-valued maps ⋮ New fuzzy-interval inequalities in fuzzy-interval fractional calculus by means of fuzzy order relation ⋮ On Hermite-Hadamard type inequalities for harmonical h-convex interval-valued functions ⋮ Some novel inequalities for LR‐h‐convex interval‐valued functions by means of pseudo‐order relation ⋮ Ohlin-type theorem for convex set-valued maps ⋮ Hermite–Hadamard inequalities for convex set-valued functions ⋮ The value functions approach and Hopf-Lax formula for multiobjective costs via set optimization ⋮ Fuzzy integral inequalities on coordinates of convex fuzzy interval-valued functions

Cites Work

• Convex functions, monotone operators and differentiability
• On the equality condition in Hölder's and Minkowski's inequalities
• The converse of the Hölder inequality and its generalizations
• Set-valued analysis
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