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Some remarks on the Chebyshev functional

Journal of Mathematical Analysis and Applications, 2008
Josip E Pečarić
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Pipelined Chebyshev Functional Link Artificial Recurrent Neural Network for Nonlinear Adaptive Filter

IEEE Transactions on Systems, Man, and Cybernetics, 2010
Jiashu Zhang
exaly   +2 more sources

Chebyshev Functional Link Artificial Neural Network Based on Correntropy Induced Metric

Neural Processing Letters, 2017
Wentao, Badong Chen
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Tangent-chebyshev maps over finite fields: New properties and functional graphs

Cryptography and Communications, 2022
Ravi B D Figueiredo
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Nonlinear dynamic system identification using Chebyshev functional link artificial neural networks

IEEE Transactions on Systems, Man, and Cybernetics, 2002
Jagdish C. Patra
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Chebyshev Approximation and Threshold Functions

IEEE Transactions on Electronic Computers, 1965
Where previous authors have considered linear approximations with a minimum sum of squared differences, we consider, instead, Chehyshev linear approximations, which minimize the maximum deviation. We obtain thus: 1) A new characterization of threshold functions, 2) A characterization of optimal threshold realizations as being virtually identical to the
Kaplan, K. R., Winder, R. O.
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Chebyshev Functional Expansion Based Artificial Neural Network Controller for Shunt Compensation

IEEE Transactions on Industrial Informatics, 2018
Three-phase four-wire (TPFW) distribution systems are prone to various power quality (PQ) issues, such as voltage fluctuations, poor power factor, unbalanced load conditions, and the presence of harmonics in current. Mitigation of these PQ problems using
Prakash Chittora, Alka Singh, Madhusudan Singh   +2 more
semanticscholar   +1 more source

Generalised chebyshev basis functions

International Journal of Computer Mathematics, 1999
The construction of generalised Chebyshev basis functions in one dimension is carried out for both linear and quadratic cases. The optimal selection of the point of reflection of the required Chebyshev Polynomial (s) is identified.
M. A. Ibiejugba, D. J. Evans, O. M. Bamig-Bola, M. R. Odekunle   +3 more
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Chebyshev Individual Adaptive Exponential Functional Link Filter for Nonlinear System Identification

IEEE India Conference, 2023
Recently introduced adaptive exponential functional link networks (AEFLNs) are widely employed nonlinear filters with linear-in-the-parameters. In addition, sinusoidal basis functions are used with individually varying adaptive exponential factors for ...
Chayan Bhar, Vasundhara
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Chebyshev subspaces of vector-valued functions

Mathematical Notes of the Academy of Sciences of the USSR, 1976
It is shown that if on a compact space Q any polynomial\(P_N (z) = \sum\nolimits_1^N {\alpha _i } \left( {\begin{array}{*{20}c} {f_{i1} } \\ \vdots \\ {f_{is} } \\ \end{array} } \right),\sum\nolimits_1^N {|\alpha _i |^z > 0} \), in a system of continuous vector functions with real coefficients such that N=n·s and s=2p +1 has at most n−1 zeros, then Q ...
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