小波级数的部分和在勒贝格点处的收敛性与收敛速度

Convergence and Convergence Rate of the Partial Sums of Wavelet Expansions at Lebesgue Point

本文研究f∈L2()的小波级数的部分和在勒贝格点处的收敛性.通过对勒贝格点的研究,建立小波级数的部分和在勒贝格点处的收敛性,同时给出其收敛的精确速度.

Convergence of the partial sums of wavelet expansions of f∈L2（） at Lebesgue point is researched in this paper.The convergence of the partial sums of wavelet at Lebesgue point is established and the exact convergence rate is given.