• Title/Summary/Keyword: Kantorovich-Choquet type operators

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DEGREE OF APPROXIMATION BY KANTOROVICH-CHOQUET QUASI-INTERPOLATION NEURAL NETWORK OPERATORS REVISITED

  • GEORGE A., ANASTASSIOU
    • Journal of Applied and Pure Mathematics
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    • v.4 no.5_6
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    • pp.269-286
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    • 2022
  • In this article we exhibit univariate and multivariate quantitative approximation by Kantorovich-Choquet type quasi-interpolation neural network operators with respect to supremum norm. This is done with rates using the first univariate and multivariate moduli of continuity. We approximate continuous and bounded functions on ℝN , N ∈ ℕ. When they are also uniformly continuous we have pointwise and uniform convergences. Our activation functions are induced by the arctangent, algebraic, Gudermannian and generalized symmetrical sigmoid functions.