Some inequalities and convergence theorems for Choquet integrals
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Publication:2430478
DOI10.1007/s12190-009-0358-yzbMath1210.28028OpenAlexW2026354770MaRDI QIDQ2430478
Publication date: 6 April 2011
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-009-0358-y
Related Items (32)
The Choquet integral of log-convex functions ⋮ A METRIC ON SPACE OF MEASURABLE FUNCTIONS AND THE RELATED CONVERGENCE ⋮ Approximation by Choquet integral operators ⋮ Conditional Choquet Expectation ⋮ Choquet integral Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ Extension of Hu Ke's inequality and its applications ⋮ On Carlson's inequality for Sugeno and Choquet integrals ⋮ Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures ⋮ Pseudo-integral and generalized Choquet integral ⋮ Jensen's inequality for Choquet integral revisited and a note on Jensen's inequality for generalized Choquet integral ⋮ Generalized pseudo-integral Jensen's inequality for \(((\oplus_1,\otimes_1),(\oplus_2,\otimes_2))\)-pseudo-convex functions ⋮ A \(d\)-dimensional analyst's travelling salesman theorem for subsets of Hilbert space ⋮ Jensen's inequality type integral for fuzzy-interval-valued functions ⋮ Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures ⋮ Chebyshev type inequality for Choquet integral and comonotonicity ⋮ On properties of pseudointegrals based on pseudoaddition decomposable measures ⋮ Volterra-Choquet nonlinear operators ⋮ Jensen's inequalities for pseudo-integrals ⋮ A refined Hölder's inequality for Choquet expectation by Cauchy-Schwarz's inequality ⋮ Autocontinuity and convergence theorems for the Choquet integral ⋮ Several inequalities for the pan-integral ⋮ Probability inequalities for decomposition integrals ⋮ A generalized Hellinger distance for Choquet integral ⋮ Jensen's inequalities for set-valued and fuzzy set-valued functions ⋮ Volterra-Choquet integral equations ⋮ Collection integral vs. Choquet integral ⋮ The restricted content and the \(d\)-dimensional Analyst's travelling salesman theorem for general sets ⋮ Choquet integrals of \(r\)-convex functions ⋮ Some integral inequalities for fuzzy-interval-valued functions ⋮ Fredholm-Choquet integral equations ⋮ Nonadditive measures and nonlinear integrals —focusing on a theoretical aspect— ⋮ Pseudo-\(L^p\) space and convergence
Cites Work
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- Non-additive measure and integral
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- Theory of capacities
- SUGENO INTEGRAL AND GEOMETRIC INEQUALITIES
- CONVERGENCE THEOREMS FOR SEQUENCES OF CHOQUET INTEGRALS
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