On pseudo-average value on graphical simplices and pseudo-inequalities

DOI10.1016/j.fss.2023.03.007zbMATH Open1543.28007MaRDI QIDQ6588964

Hamzeh Agahi

Publication date: 19 August 2024

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

zbMATH Keywords

semiringpseudo-operations\((\oplus,\otimes)\)-pseudo-convex functionsgraphs and graphical simplicespseudo-inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Fuzzy measure theory (28E10)

Cites Work

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• Hölder and Minkowski type inequalities for pseudo-integral
• Chebyshev type inequalities for pseudo-integrals
• On \(h\)-convexity
• New general extensions of Chebyshev type inequalities for Sugeno integrals
• Idempotent integral as limit of \(g\)-integrals
• Some remarks on \(s\)-convex functions
• Hadamard's inequality for \(r\)-convex functions
• Nonlinear integrals and Hadamard-type inequalities
• Generalization of the jensen inequality for pseudo-integral
• General Minkowski type inequalities for Sugeno integrals
• Pseudo-\(L^p\) space and convergence
• The Hermite—Hadamard Inequality on Simplices
• The simplex geometry of graphs
• Jensen's inequalities for pseudo-integrals
• Seven Kinds of Convexity
• Generalized pseudo-integral Jensen's inequality for \(((\oplus_1,\otimes_1),(\oplus_2,\otimes_2))\)-pseudo-convex functions

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