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Approximation of weighted classes
Russian Mathematical Surveys, 1981Considering the definition \(K_{\epsilon}(A,X)=\inf \{n: d_ n(A,X)\leq \epsilon \}\) where \(d_ n(A,X)\) is the Kolmogorov diameter, the author gives estimates for \(K_{\epsilon}(W_ p^{r,\alpha}(\Omega_ T),L_ s\Omega_ T)\) and for \(K_{\epsilon}(W_ p^{r,\alpha,\beta}(\Omega_ T),L_ s(\Omega_ T))\).
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Weighted Best Polynomial Approximation
1987For some weight functions, including Jacobi weights, we relate the best weighted polynomial approximation and asymptotic behavior of the derivatives of the optimal polynomials to weighted main-part moduli of smoothness.
Z. Ditzian, V. Totik
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On weighted L p simultaneous approximation
Acta Mathematica Hungarica, 1996In this paper the author discusses the simultaneous approximation of a function and of its derivatives in weighted \(L^p\) spaces. Both trigonometric polynomial approximation and algebraic polynomial approximation are discussed. In the case of trigonometric polynomial approximation the weight function is supposed to belong to the Muckenhoupt class.
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Polynomial approximation with special doubling weights
2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
DE BONIS, Maria Carmela +2 more
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Sigmoid-weighted linear units for neural network function approximation in reinforcement learning
Neural Networks, 2018Stefan Elfwing, Eiji Uchibe
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Weighted least squares support vector machines: robustness and sparse approximation
Neurocomputing, 2002Joos Vandewalle
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Weighted triangular approximation of fuzzy numbers
International Journal of Approximate Reasoning, 2007Wenyi Zeng
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Weighted statistical convergence and its application to Korovkin type approximation theorem
Applied Mathematics and Computation, 2012Vatan Karakaya +2 more
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