Uniform and pointwise convergence of Bernstein-Durrmeyer operators with respect to monotone and submodular set functions
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Publication:482772
DOI10.1016/J.JMAA.2014.12.012zbMath1305.41028OpenAlexW2017604269MaRDI QIDQ482772
Bogdan D. Opris, Sorin Gheorghe Gal
Publication date: 6 January 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.012
uniform convergenceChoquet integralpointwise convergenceBernstein-Durrmeyer operatormonotone and submodular set function
Related Items (10)
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 ⋮ Iterates of monotone and sublinear operators on spaces of continuous functions ⋮ A nonlinear extension of Korovkin's theorem ⋮ Quantitative Korovkin theorems for monotone sublinear and strongly translatable operators in $L_{p}([0, 1)$, $1\le p\le \infty $] ⋮ Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures ⋮ Approximation properties of mixed sampling-Kantorovich operators ⋮ Volterra-Choquet nonlinear operators ⋮ Quantitative approximation by nonlinear Picard-Choquet, Gauss-Weierstrass-Choquet and Poisson-Cauchy-Choquet singular integrals ⋮ Approximation by mixed operators of max-product-Choquet type
Cites Work
- Approximation by multivariate Bernstein-Durrmeyer operators and learning rates of least-squares regularized regression with multivariate polynomial kernels
- Uniform convergence of Bernstein-Durrmeyer operators with respect to arbitrary measure
- Bernstein-Durrmeyer operators with respect to arbitrary measure. II: Pointwise convergence
- Multivariate Bernstein-Durrmeyer operators with arbitrary weight functions
- Default reasoning and possibility theory
- Non-additive measure and integral
- Theory of capacities
- Generalized Measure Theory
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