scientific article

zbMath1269.41003MaRDI QIDQ2912678

Feilong Cao, Zhixiang Chen

Publication date: 14 September 2012

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

order of approximationmodulus of continuityneural network operators

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Rate of convergence, degree of approximation (41A25)

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On the Hausdorff distance between the Heaviside step function and Verhulst logistic function ⋮ Approximation theorems for a family of multivariate neural network operators in Orlicz-type spaces ⋮ Approximation by max-product neural network operators of Kantorovich type ⋮ Max-product neural network and quasi-interpolation operators activated by sigmoidal functions ⋮ DENSITY RESULTS BY DEEP NEURAL NETWORK OPERATORS WITH INTEGER WEIGHTS ⋮ Multivariate neural network interpolation operators ⋮ Neural network interpolation operators activated by smooth ramp functions ⋮ Neural network operators: constructive interpolation of multivariate functions ⋮ Solving polynomial systems using a fast adaptive back propagation-type neural network algorithm ⋮ Approximation of discontinuous signals by sampling Kantorovich series ⋮ Voronovskaja type theorems and high-order convergence neural network operators with sigmoidal functions ⋮ Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators ⋮ Saturation classes for MAX-product neural network operators activated by sigmoidal functions ⋮ Pointwise and uniform approximation by multivariate neural network operators of the max-product type ⋮ Quantitative estimates for neural network operators implied by the asymptotic behaviour of the sigmoidal activation functions ⋮ Approximation error for neural network operators by an averaged modulus of smoothness ⋮ Approximation results for neural network operators activated by sigmoidal functions ⋮ Multivariate neural network operators with sigmoidal activation functions ⋮ Solutions of integral equations by reproducing kernel Hilbert space method ⋮ Approximation results in Orlicz spaces for sequences of Kantorovich MAX-product neural network operators ⋮ Interpolation by neural network operators activated by ramp functions ⋮ Convergence of a family of neural network operators of the Kantorovich type ⋮ Approximation by exponential sampling type neural network operators ⋮ Rates of approximation by neural network interpolation operators ⋮ Approximate solutions of Volterra integral equations by an interpolation method based on ramp functions

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