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APPROXIMATION: 作品数：1231被引量：1216H指数：13; 导出分析报告; 相关领域：理学更多>>; 相关作者：曹飞龙吴嘎日迪谢庭藩沈燮昌周颂平更多>>; 相关机构：北京大学宁夏大学西北工业大学中国计量学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金中国博士后科学基金更多>>

Approximation Properties of Newman Type Interpolation Rational Functions with Fewer Nodes: 《Analysis in Theory and Applications》2023年第4期378-384,共7页Laiyi Zhu Xingjun Zhao; supported by the National Nature Science Foundation of China(No.11571362);Fundamental Research Funds for the Central Universities(No.2652018054).; In the present note,we consider the problem:how many interpolation nodes can be deleted from the Newman-type rational function such that the convergence rate still achieve.; 关键词：Rational function approximation Newman-type rational approximation interpolation nodes convergence rate

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

On the Degree of Approximation of Continuous Functions by Means of Fourier Series in the Holder Metric: 《Analysis in Theory and Applications》2019年第4期392-404,共13页Xhevat ZKrasniqi Bogdan Szal 无; In this paper we prove two theorems on the degree of approximation of continuous functions by matrix means related to partial sums of a Fourier series in the Holder metric.These theorems can be taken as counterparts o...; 关键词：Matrix transformation DEGREE of APPROXIMATION FOURIER series HOLDER METRIC

Approximation by a Complex Post-Widder Type Operator: 《Analysis in Theory and Applications》2018年第4期297-305,共9页Sorin G.Gal Vijay Gupta; In the present article, we deal with the so-called overconvergence phenomenon in C of a slightly modified Post-Widder operator of real variable, that is with the extension of its approximation properties from the real...; 关键词：Real and complex Post-Widder type operator overconvergence phenomenon approximation estimate Voronovskaya-type result exact error estimation

Approximation for Certain Stancu Type Summation Integral Operator: 《Analysis in Theory and Applications》2018年第1期77-91,共15页Prerna Maheshwari; In the present paper, we consider Stancu type generalization of the summation integral type operators discussed in [15]. We apply hypergeometric series for obtaining moments of these operators. We also discuss about a...; 关键词：Linear positive operators hypergeometric series modulus of continuity.

On Weighted L^p-Approximation by Weighted Bernstein-Durrmeyer Operators被引量：2: 《Analysis in Theory and Applications》2018年第1期1-16,共16页Meiling Wang Dansheng Yu Dejun Zhao; In the present paper, we establish direct and converse theorems for weight-ed Bernstein-Durrmeyer operators under weighted L^p-norm with Jacobi weight w（x）=x^a（1-x）β.All the results involved have no restriction a...; 关键词：Weighted Lp-approximation weighted Bernstein-Durrmeyer operators direct andconverse theorems.

Approximation by Nrlund Means of Hexagonal Fourier Series: 《Analysis in Theory and Applications》2017年第4期384-400,共17页Ali Guven; supported by Balikesir University. Grant Number: 2014/49; Let f be an H-periodic HOlder continuous function of two real variables.The error ｜｜f-Nn （p;f）｜｜ is estimated in the uniform norm and in the Holder norm,where p=（pk）k=0∞is a nonincreasing sequence of positive...; 关键词：Hexagonal Fourier series Holder class Norlund mean.

On M–Term Approximations of the Nikol'skii–Besov Class in the Lorentz Spaces: 《Analysis in Theory and Applications》2017年第3期267-286,共20页G.Akishev; supported by the Ministry of Education and Science of Republic Kazakhstan(Grant No.5129/GF4);partially by the Russian Academic Excellence Project(agreement between the Ministry of Education and Science of the Russian Federation and Ural Federal University No.02.A03.21.006 of August 27,2013); In this paper, we consider a Lorentz space with a mixed norm of periodic functions of many variables. We obtain the exact estimation of the best M-term approximations of Nikol＇skii＇s and Besov＇s classes in the Lore...; 关键词：Lorentz space Besov＇s class approximation.

Weighted Best Local Approximation: 《Analysis in Theory and Applications》2016年第4期355-372,共18页Segio Favier Claudia Ridolfi; In this survey the notion of a balanced best multipoint local approximation is fully exposed since they were treated in the LP spaces and recent results in Orlicz spaces. The notion of balanced point, introduced by Ch...; 关键词：Best Local approximation multipoint approximation balanced neighborhood

On Approximation Properties of Modified Sázas-Mirakyan Operators via Jain Operators: 《Analysis in Theory and Applications》2016年第3期232-241,共10页Prashantkumar Patel Vishnu Narayan Mishra; In the present manuscript, we propose the modification of Jain operators which the generalization of Szasz-Mirakyan operators. These new class operators are linear positive operators of discrete type depending on a re...; 关键词：Positive linear operators Jain operators Szasz-Mirakyan operator.

APPROXIMATION