On certain integral means of functions of generalized bounded variation

被引：0
|
作者：
Bakhvalov, Alexandr N. [1 ]
机构：
[1] Moscow Lomonosov State Univ, Dept Mech & Math, Lenin Hills 1, Moscow 119991, Russia
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2021年 / 28卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
Generalized variation; summability kernels;
D O I：
10.1515/gmj-2019-2051
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For certain classes of functions of Lambda-bounded variation on [-pi, pi], Waterman and D'Antonio constructed a sequence of summability kernels such that the corresponding integral means converge for any function from the class, but not for any function from a broader Lambda'BV class. In our paper, we extend this result to the case of functions of two variables.
引用
收藏
页码：185 / 191
页数：7
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