Sugeno integral for Hermite-Hadamard inequality and quasi-arithmetic means

DOI10.2478/amsil-2023-0007OpenAlexW4381572456MaRDI QIDQ6054724

Timothy Nadhomi

Publication date: 25 October 2023

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2023-0007

zbMATH Keywords

Sugeno integralHermite-Hadamard inequalityquasi-arithmetic mean

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Means (26E60) Fuzzy measure theory (28E10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Hermite-Hadamard type inequality for Sugeno integrals
• The Hermite-Hadamard inequality for log-convex functions
• The Hermite-Hadamard type inequality of GA-convex functions and its application
• Hermite-Hadamard inequality for fuzzy integrals
• Hermite-Hadamard type inequalities for harmonically convex functions
• Convex functions and their applications. A contemporary approach
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