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Schwarz空间中小波级数的收敛性

Convergenceof Wavelet Expansion in Schwarz Space
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摘要 通过引入Schwarz空间,利用逼近论的思想和放缩的方法研究Schwarz空间中小波级数的收敛性,建立小波级数依范数收敛的定理,进而得到小波级数一致收敛的结论和一致收敛速度的精确估计. By introducing Schwarz space, methods of approximating and scaling are used to study the convergence of wavelet expansion in Schwarz space. Theorem of convergence and convergence rate in norm is established. Then result of uniform convergence and exact estimation of uniform convergence rate are obtained.
出处 《河南科学》 2014年第5期691-693,共3页 Henan Science
基金 国家自然科学基金资助项目(10571113) 咸阳师范学院2013年省级大学生创新创业训练计划项目(1815)
关键词 Schwarz空间 小波级数 依范数收敛 一致收敛 Schwarz space; wavelet expansion; convergence in norm; uniform convergence
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