Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals

DOI10.1007/S00025-018-0852-3zbMath1400.41016OpenAlexW4235227303MaRDI QIDQ1990782

Sorin Gheorghe Gal

Publication date: 25 October 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0852-3

zbMATH Keywords

nonlinear Choquet integralPicard-Choquet operatorssubmodular set functionGauss-Weierstrass-Choquet operatorsPoisson-Cauchy-Choquet operators

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Contents, measures, outer measures, capacities (28A12) Integration with respect to measures and other set functions (28A25) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)

Related Items (5)

Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ Volterra-Choquet nonlinear operators ⋮ Correction to: ``Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals ⋮ Nonlinear versions of Korovkin's abstract theorems ⋮ Approximation by mixed operators of max-product-Choquet type

Cites Work

• Approximation by Choquet integral operators
• Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions
• On the singular integral of de la Vallee-Poussin
• Non-additive measure and integral
• Korovkin-type approximation theory and its applications
• Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions
• Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures
• Theory of capacities
• Generalized Measure Theory
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