Fourier-Laplace级数收敛速度的点态估计(英文)  

POINTWISE ESTIMATE FOR THE RATE OF CONVERGENCE OF FOURIER LAPLACE SERIES

作　　者：曾庆业[1] 

机构地区：[1]北京师范大学数学系,北京100875

出　　处：《北京师范大学学报（自然科学版）》2000年第5期579-583,共5页Journal of Beijing Normal University(Natural Science)

基　　金：ProjectSupportedbyNSFC(197710 0 9)

摘　　要：引入点态连续模 ,并用此连续模在L(Ωn)中估计等收敛算子以及函数的Fourier Laplace级数的Abel平均的点态收敛速度 .在Lp(Ωn) (1<p≤∞ ) 中类似的有关收敛速度的结论同时得到 .Pointwise modulus of continuity is introduced, with which the rate of the pointwise convergence of equiconvergent operator and the Abel means of Fourier Laplace series of functions in L(Ω n) are estimated. The similar results of rate of convergence in L p(Ω n)(1≤p≤∞) are also obtained.

关 键 词：收敛速度 点态连续模 FOURIER-LAPLACE级数 

分 类 号：O174.2[理学—数学]