WEIGHTS

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On Approximation by Neural Networks with Optimized Activation Functions and Fixed Weights
《Analysis in Theory and Applications》2023年第1期93-104,共12页Dansheng Yu Yunyou Qian Fengjun Li 
suppoorted by NSFC (No.12061055).
Recently,Li[16]introduced three kinds of single-hidden layer feed-forward neural networks with optimized piecewise linear activation functions and fixed weights,and obtained the upper and lower bound estimations on th...
关键词：Approximation rate modulus of continuity modulus of smoothness neural network operators 
Commutators of Lipschitz Functions and Singular Integrals with Non-Smooth Kernels on Euclidean Spaces
《Analysis in Theory and Applications》2016年第2期135-148,共14页Hung Viet Le 
In this article, we obtain the LP-boundedness of commutators of Lipschitz functions and singular integrals with non-smooth kernels on Euclidean spaces.
关键词：COMMUTATORS singular integrals maximal functions sharp maximal functions muck-enhoupt weights Lipschitz spaces. 
ON CONVERGENCE RATE OF APPROXIMATION FOR TWO-DIMENSIONAL BASKAKOV OPERATORS
《Analysis in Theory and Applications》2003年第3期273-279,共7页Feng Guo (Taizhou University, China) 
Supported by the Zhejiang Provincial Natural Science Foundation
In this paper, we study the convergence rate of two-dimensional Baskakov operators with Jacobi-weights making use of multivariate decompose skills and results of one-dimensional Baskakov operators, and obtain the dir...
关键词：Bakakov operators convergence rate Jacobi-weights multivariate decompose skills direct theorem 
A SUFFICIENT CONDITION FOR MEAN CONVERGENCE OF ORTHOGONAL SERIES FOR FREUD WEIGHTS
《Analysis in Theory and Applications》2000年第4期55-67,共13页D. W. Lee (Kyungpook National University, Korea) 
KOSEF (1999-- 2-- 103-- 002~ 3 ).
Let Sn[f](x) be the n-th partial sum of the orthonormal polynomial series expansion for f corresponding to a Freud weight W(x)=e?Q(x). We give a sufficient condition for the inequality
关键词：oscillatory integral operator MULTIPLIER SINGULARITY 
INTEGRAL INEQUALITIES WITH WEIGHTS FOR MAXIAMAL OPERATORS
《Analysis in Theory and Applications》1996年第2期13-19,共7页Tao Xiangxing (Ningbo Normal college,china) 
Supported by NSFC
Let μ be a measure on the upper half-space R+n+1,and v a weight on Rn,we give a characterization for the pair (v,μ) such that ||μ(fv)||L(μ)≤c||f||L(μ)where is an N-function satisfying Δ2 condition and uf(x,t) ...
关键词：MATH INTEGRAL INEQUALITIES WITH WEIGHTS FOR MAXIAMAL OPERATORS 
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