关于正交级数系数的某些性质  

Properties of the Coefficients in Orthogonal Series

作　　者：张立发[1] 

机构地区：[1]泰安师专数计系,山东泰安271000

出　　处：《泰安师专学报》2000年第6期11-12,共2页Journal of Taian Teachers College

摘　　要：本文给出由就范正交系 { φn(x) } ∞n =1 Lp(E)构成的正交级数Σ∞n =1anφn(x) ,其系数an 收敛于零的充分条件及由此得到在L2 ([0 ,1])上的推论。本文也给出当p∈ (0 ,2 )时结论不成立的反例。For the orthogonal series Σ∞ n=1 a nφ n(x) consist from the normal orthorhombic systems ｛φ n(x)｝ ∞ n=1 L p(E),In this paper,We give out the sufficient condition that the coefficients｛a n｝converge to zero,and we get the corollary on L 2([0,1]).Moreover,if P∈(0,2),we give out the example that the conclusion isn't correct.

关 键 词：就范正交系 正交级数 收敛 系数 函数 

分 类 号：O174.21[理学—数学]