Generalizations of the Steffensen integral inequality for pseudo-integrals

DOI10.1515/ms-2022-0080zbMath1503.26091OpenAlexW4313144668MaRDI QIDQ2085775

Jing Guo, Xian-zhong Zhou

Publication date: 19 October 2022

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ms-2022-0080

zbMATH Keywords

Steffensen inequalitypseudo-additionpseudo-integralpseudo-multiplicationpseudo-operations

Mathematics Subject Classification ID

Fuzzy measure theory (28E10) Fuzzy real analysis (26E50)

Cites Work

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• Generalization of the Lyapunov type inequality for pseudo-integrals
• Hölder and Minkowski type inequalities for pseudo-integral
• Chebyshev type inequalities for pseudo-integrals
• Pseudo-additive measures and integrals
• Idempotent integral as limit of \(g\)-integrals
• Fubini theorem and generalized Minkowski inequality for the pseudo-integral
• Generalization of the jensen inequality for pseudo-integral
• Generalized real analysis and its applications
• Discrete pseudo-integrals
• Jensen and Chebyshev inequalities for pseudo-integrals of set-valued functions
• Steffensen's integral inequality on time scales
• Improved Steffensen type bounds on expectations of record statistics

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