An analog of the Jackson-Nikol'skij theorem on the approximation by superpositions of sigmoidal functions

DOI10.1007/BF02307216zbMath0878.41015OpenAlexW2084297640MaRDI QIDQ1360827

A. V. Andrianov

Publication date: 22 July 1997

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02307216

zbMATH Keywords

degree of approximationsigmoidal function

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Solving Volterra integral equations of the second kind by sigmoidal functions approximation, A collocation method for solving nonlinear Volterra integro-differential equations of neutral type by sigmoidal functions, Approximation of functions of finite variation by superpositions of a sigmoidal function.

Cites Work

• Univariant approximation by superpositions of a sigmoidal function
• Degree of approximation by neural and translation networks with a single hidden layer
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