Quantitative estimates in \(L^{p}\)-approximation by Bernstein-Durrmeyer-Choquet operators with respect to distorted Borel measures

DOI10.1007/s00025-017-0759-4zbMath1379.41018OpenAlexW2762314462MaRDI QIDQ1682581

Sorin Trifa, Sorin Gheorghe Gal

Publication date: 30 November 2017

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

Full work available at URL: https://doi.org/10.1007/s00025-017-0759-4

zbMATH Keywords

Choquet integral\(K\)-functional\(L_p\)-approximationmonotone and submodular set functionBernstein-Durrmeyer-Choquet operatordistorted Borel measure.

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (8)

Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures ⋮ Volterra-Choquet nonlinear operators ⋮ Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals ⋮ Pointwise convergence of the Bernstein-Durrmeyer operators with respect to a collection of measures ⋮ Volterra-Choquet integral equations ⋮ Approximation by mixed operators of max-product-Choquet type ⋮ Fredholm-Choquet integral equations

Cites Work

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• Bernstein-Durrmeyer operators with respect to arbitrary measure. II: Pointwise convergence
• Non-additive measure and integral
• Some inequalities and convergence theorems for Choquet integrals
• Capacitary function spaces
• Theory of capacities
• On lp-convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure
• Generalized Measure Theory

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