On Hermite-Hadamard inequalities for (k,h)-convex set-valued maps

DOI10.7153/mia-2022-25-29zbMath1505.26046OpenAlexW4285247842MaRDI QIDQ5078946

Kazimierz Nikodem, Teresa Rajba

Publication date: 25 May 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2022-25-29

zbMATH Keywords

set-valued mapsAumann integral\((k,h)\)-convexityHermite-Hadamard-type inclusions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51)

Related Items (2)

Hermite-Hadamard-type inequalities for ^✱differentiable multiplicative m-preinvexity and (s,m)-preinvexity via the multiplicative tempered fractional integrals ⋮ Hermite-Hadamard type inequalities for multiplicative Riemann-Liouville fractional integrals

Cites Work

• Unnamed Item
• On \(h\)-convexity
• Properties of \(h\)-convex functions related to the Hermite-Hadamard-Fejér inequalities
• Hadamard inequality and a refinement of Jensen inequality for set-valued functions
• Integrals of set-valued functions
• On some Hermite-Hadamard-Fejér inequalities for (k,h)-convex functions
• On the Ohlin lemma for Hermite-Hadamard-Fejér type inequalities
• Hermite–Hadamard inequalities for convex set-valued functions
• Set-valued analysis

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