Quantitative Estimates for $L^p$-Approximation by Bernstein-Kantorovich-Choquet Polynomials with Respect to Distorted Lebesgue Measures

DOI10.33205/cma.481186zbMath1463.41038OpenAlexW2907952748MaRDI QIDQ5122726

Sorin Trifa, Sorin Gheorghe Gal

Publication date: 24 September 2020

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.481186

zbMATH Keywords

Choquet integral\(K\)-functionalmonotone and submodular set functionBernstein-Kantorovich-Choquet polynomialdistorted Lebesgue measure\(L^p\) quantitative estimates

Mathematics Subject Classification ID

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 operators (in particular, by integral operators) (41A35)

Related Items (6)

Nonlinear operator extensions of Korovkin's theorems ⋮ Bézier-Bernstein-Durrmeyer type operators ⋮ GENERALIZED BERNSTEIN-KANTOROVICH OPERATORS OF BLENDING TYPE ⋮ Approximation by mixed operators of max-product-Choquet type ⋮ Generalized Bernstein-Durrmeyer operators of blending type ⋮ Modifiedρ-Bernstein Operators for Functions of Two Variables

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