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Fractal functions are the basis of a constructive approximation theory for non-differentiable functions.
Several constructive approximation algorithms have be enproposed to design a fault tolerant network topology.
But the foremost applications are concerned with constructive approximation theory, which uses it as a valuable tool.
In this paper, we have proposed an efficient constructive approximation approach for designing a k – connected network which is survivable in the presence of k-1 links failures in the network.
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The variational description of the Zeno effect provides an analytic basis for the constructive approximations techniques.
This paper is devoted to constructive approximations and an alternative theoretic characterization of some classes of sliding mode control processes.
For a constructive analysis of the periodic boundary value problem for systems of non-linear non-autonomous ordinary differential equations, a numerical-analytic approach is developed, which allows one to both study the solvability and construct approximations to the solution.
Moreover a constructive algorithm for approximations is designed and its convergence is established.
Originally introduced by Sergei Natanovich Bernstein to facilitate a constructive proof of the Weierstrass approximation theorem, the leisurely convergence rate of Bernstein polynomial approximations to continuous functions caused them to languish in obscurity, pending the advent of digital computers.
Huang, L. Chen, C.-K. Siew, Universal approximation using incremental constructive feedforward networks with random hidden nodes, IEEE Trans.
The first constructive (and simple) proof of Weierstrass approximation theorem was given by Bernstein [1].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com