Voronovskaya type asymptotic expansions for multivariate quasi-interpolation neural network operators

• George A Anastassiou ^[1]
  1. [1] University of Memphis Department of Mathematical Sciences
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 16, Nº. 2, 2014, págs. 33-48
• Idioma: inglés
• DOI: 10.4067/S0719-06462014000200002
• Enlaces
  • Texto completo
• Resumen
  • español

    Aquí estudiamos extensiones de la cuasi-interpolación multivariada de operadores de redes neuronales de tipo sigmoidal y tangente hiperbólica de una capa oculta. Obtenemos expansiones asintóticas del tipo Voronovskaya para el error de aproximación de estos operadores para el operador unidad.

  • English

    Here we study further the multivariate quasi-interpolation of sigmoidal and hyperbolic tangent types neural network operators of one hidden layer. We derive multivariate Voronovskaya type asymptotic expansions for the error of approximation of these operators to the unit operator.

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