Approximation by rational functions-Reference-Cited by-同舟云学术

Approximation by rational functions

Published:1986 Issue:4 Volume:98 Page:601-604
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

DeVore Ronald A.

Abstract

Making use of the Hardy-Littlewood maximal function, we give a new proof of the following theorem of Pekarski: If f ′ f’ is in L log ⁡ L L\log L on a finite interval, then f f can be approximated in the uniform norm by rational functions of degree n n to an error O ( 1 / n ) O(1/n) on that interval.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1986-098-04/S0002-9939-1986-0861758-3/S0002-9939-1986-0861758-3.pdf

Reference5 articles.

1. Weak-type inequalities for 𝐻^{𝑝} and BMO;Bennett, Colin,1979

2. Maximal functions and their application to rational approximation;DeVore, Ronald A.,1983

3. D. J. Neweman, Rational approximation to |𝑥|, Michigan Math. J. 11 (1964), 11-14.

4. A. A. Pekarski, Rational approximation of absolutely continuous functions with derivatives in an Orlicz space, Math. Sb. 45 (1983), 121-137.

5. On the connection between rational uniform approximation and polynomial 𝐿_{𝑝} approximation of functions;Popov, V. A.,1980

Cited by 4 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. Algorithms for Fractional Dynamical Behaviors Modelling Using Non-Singular Rational Kernels;Algorithms;2023-12-31

2. Frobenius–Padé approximants of |x|;Journal of Approximation Theory;2016-11

3. On the analysis of the thermal line shift and thermal line width of ions in solids;Journal of Luminescence;2015-02

4. Скорость рациональн ой аппроксимации и дифференциальные с войства функций;Analysis Mathematica;1991-06