On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment

DOI10.20537/vm170210zbMath1388.41009OpenAlexW2741171143MaRDI QIDQ4639859

A. V. Chernov

Publication date: 11 May 2018

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.20537/vm170210

zbMATH Keywords

Gaussian functioncontrol parametrization techniqueapproximation by quadratic exponentslumped problem of optimal control

Mathematics Subject Classification ID

Approximation by other special function classes (41A30)

Related Items (5)

On flexibility of constraints system under approximation of optimal control problems ⋮ On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral ⋮ Gaussian functions combined with Kolmogorov's theorem as applied to approximation of functions of several variables ⋮ On application of Gaussian functions for numerical solution of optimal control problems ⋮ On the application of Gaussian functions for discretization of optimal control problems

Cites Work

• Approximate approximations from scattered data
• A method of successive approximations for calculating optimal modes of some distributed-parameter systems
• On applicability of control parametrization technique to solving distributed optimization problems
• Smooth finite-dimensional approximations of distributed optimization problems via control discretization
• Euclidean Algorithm and Hankel Matrices
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