Estimates for the neural network operators of the max-product type with continuous and \(p\)-integrable functions

DOI10.1007/s00025-018-0790-0zbMath1390.41020OpenAlexW2790159265MaRDI QIDQ1743217

Danilo Costarelli, Gianluca Vinti

Publication date: 13 April 2018

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

Full work available at URL: https://doi.org/10.1007/s00025-018-0790-0

zbMATH Keywords

modulus of continuitysigmoidal functionPeetre's K-functionalquantitative estimatemax-product operatorneural network operator

Mathematics Subject Classification ID

Linear operator approximation theory (47A58) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items (15)

Approximation by truncated Lupaş operators of max-product kind ⋮ Voronovskaja type theorems and high-order convergence neural network operators with sigmoidal functions ⋮ A characterization of the absolute continuity in terms of convergence in variation for the sampling Kantorovich operators ⋮ Modified neural network operators and their convergence properties with summability methods ⋮ Approximation by multivariate max-product Kantorovich-type operators and learning rates of least-squares regularized regression ⋮ Approximation by pseudo-linear discrete operators ⋮ Fractional type multivariate neural network operators ⋮ Approximation by max-min operators: a general theory and its applications ⋮ Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators ⋮ The max-product generalized sampling operators: convergence and quantitative estimates ⋮ Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions ⋮ Approximation by mixed operators of max-product-Choquet type ⋮ Approximation by max-product operators of Kantorovich type ⋮ Approximation by max-product sampling Kantorovich operators with generalized kernels ⋮ Approximation by Kantorovich-type max-min operators and its applications

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