西南石油大学学报(自然科学版) ›› 1983, Vol. 5 ›› Issue (2): 78-86.DOI: 10.3863/j.issn.1000-2634.1983.02.0107

• 论文 • 上一篇    

Lq空间中Walsh级数的绝对收敛性

夏子范 张纯根   

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1983-04-20 发布日期:1983-04-20

ABSOLUTE CONAERGENCE OF WALSH SERIES IN SPACE Lq

Xia Zi-fan Zhang Chun-gen   

  • Received:1900-01-01 Revised:1900-01-01 Online:1983-04-20 Published:1983-04-20

摘要:

本文利用A.B.EфHMOB的结果,得到了Lq空间中函数f(x)的Walsh系数的几个估计式,讨论了Walsh级数绝对收敛的充分条件,对级数类∑nβαγx(f)ψn(x),β≥0,γ>0的绝对收敛性得到了相应的定理。

Abstract: Our main results are following:Theorem 1 .Let 2n≤(m2n+1,Where n is non一negative integer f(x)∈Lq(0.1),f(x+1)=f(x),then the follwing is tenable.