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Approximation of Functions by Discrete Fourier Sums in Polynomials Orthogonal on a Nonuniform Grid with Jacobi Weight

Mathematical Notes, 2021
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Complexity Research on Second Class Orthogonal Weight Function Neural Networks

Advanced Materials Research, 2014
Weight function neural network is a new kind of neural network developed in recent years, which has many advantages, such as finding globe minima directly, good performance of generalization, extracting some useful information inherent in the problems and so on. Time complexity is an important measure of algorithm.
Dai Yuan Zhang, Ran Zhao
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On polynomials orthogonal with respect to particular variable-signed weight functions

Zeitschrift für angewandte Mathematik und Physik ZAMP, 1980
In this paper we examine the existence of polynomials orthogonal with respect to weight functions which are given by the product of a nonnegative (on the interval of orthogonality) function and a polynomial. In particular, we give some results when the polynomial factor is orthogonal with respect to the remaining (nonnegative) part of the weight ...
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Orthogonal Polynomials on the Unit Circle with Respect to a Rational Weight Function

2006
We use the analogue of the Christoffel’s formula for orthogonal polynomials on the unit circle introduced in [5] to construct a system of orthogonal polynomials on the unit circle with respect to weights of the type \( \left| {\frac{{p\left( z \right)}} {{g\left( z \right)}}} \right|^2 \) , where p(z) and g(z) are arbitrary polynomials.
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Orthogonal Weighted Empirical Likelihood Test for ARCH-M Models with Double Functional Coefficients

Methodology and Computing in Applied Probability
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Zhao, Peixin, Jiang, Qian
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A note on the use of weighted orthogonal functions in statistical analysis

Mathematical Proceedings of the Cambridge Philosophical Society, 1948
S. Vajda, J. Wishart
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A global weighted mean temperature model based on empirical orthogonal function analysis

Advances in Space Research, 2018
Xiaping Ma, Qinzheng Li, Peng Chen
exaly  

Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]

Memoirs of the American Mathematical Society, 1994
A. L. Levin, D. S. Lubinsky
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A new type of weighted quadrature rules and its relation with orthogonal polynomials

Applied Mathematics and Computation, 2007
Mohammad Masjed-Jamei
exaly  

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