Best approximations and moduli of smoothness of functions and their derivatives in Lp, 0 Published:2018-08 Issue: Volume:232 Page:12-42 ISSN:0021-9045 Container-title:Journal of Approximation Theory language:en Short-container-title:Journal of Approximation Theory Author: Kolomoitsev Yurii Publisher Elsevier BV Subject Applied Mathematics,General Mathematics,Numerical Analysis,Analysis Reference30 articles. 1. Interpolation of Operators;Bennett,19882. Sur l’approximation d’une fonction périodique et de ses dérivées successives par un polynome trigonométrique et par ses dérivées successives;Czipszer;Acta Math.,19583. Polynomial approximation in Lp, 0;DeVore;Constr. Approx.,19924. Constructive Approximation;DeVore,19935. A note on simultaneous polynomial approximation in Lp[−1,1], 0;Ditzian;J. Approx. Theory,1995 Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献 1. Smoothness of functions versus smoothness of approximation processes;Bulletin of Mathematical Sciences;2020-10-282. Properties of moduli of smoothness in Lp(Rd);Journal of Approximation Theory;2020-093. Inequalities in Approximation Theory Involving Fractional Smoothness in L p, 0 < p < 1;Topics in Classical and Modern Analysis;2019
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,General Mathematics,Numerical Analysis,Analysis
Reference30 articles.
1. Interpolation of Operators;Bennett,1988
2. Sur l’approximation d’une fonction périodique et de ses dérivées successives par un polynome trigonométrique et par ses dérivées successives;Czipszer;Acta Math.,1958
3. Polynomial approximation in Lp, 0;DeVore;Constr. Approx.,19924. Constructive Approximation;DeVore,19935. A note on simultaneous polynomial approximation in Lp[−1,1], 0;Ditzian;J. Approx. Theory,1995
;DeVore;Constr. Approx.,1992
4. Constructive Approximation;DeVore,1993
5. A note on simultaneous polynomial approximation in Lp[−1,1], 0;Ditzian;J. Approx. Theory,1995
;Ditzian;J. Approx. Theory,1995
Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Smoothness of functions versus smoothness of approximation processes;Bulletin of Mathematical Sciences;2020-10-28
2. Properties of moduli of smoothness in Lp(Rd);Journal of Approximation Theory;2020-09
3. Inequalities in Approximation Theory Involving Fractional Smoothness in L p, 0 < p < 1;Topics in Classical and Modern Analysis;2019
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