Uniform and pointwise quantitative approximation by Kantorovich-Choquet type integral operators with respect to monotone and submodular set functions

DOI10.1007/s00009-017-1007-6zbMath1376.41018OpenAlexW2757573552MaRDI QIDQ1679431

Sorin Gheorghe Gal

Publication date: 9 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-1007-6

zbMATH Keywords

Choquet integralmodulus of continuityquantitative estimatesmonotone and submodular set functionBaskakov-Kantorovich-Choquet operatorBernstein-Kantorovich-Choquet polynomialSzász-Kantorovich-Choquet operator

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)

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Cites Work

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• Approximation with an arbitrary order by modified Baskakov type operators
• On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials
• Theory of capacities
• Generalized Measure Theory
• On the Extensions of Bernstein Polynomials to the Infinite Interval

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