A note on the equivalences between the averages and the K-functionals related to the Laplacian

被引：2

作者：

Dai, F

Wang, KY

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Beijing Normal Univ, Dept Math, Beijing 100875, Peoples R China

来源：

JOURNAL OF APPROXIMATION THEORY | 2004年 / 130卷 / 01期

基金：

中国国家自然科学基金;

关键词：

K-functionals; high order averages; strong converse inequalities of type A;

D O I：

10.1016/j.jat.2004.01.011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For R-d or T-d, a strong converse inequality of type A (in the terminology of Ditzian and Ivanov (J. Anal. Math. 61 (1993) 61)) is obtained for the high order averages on balls and the K-functionals generated by the high order Laplacian, which answers a problem raised by Ditzian and Runovskii (J. Approx. Theory 97 (1999) 113). (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：38 / 45

页数：8

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